This article examines the construction of the tracking control as well as the disturbance attenuation for a class of neutral descriptor semi‐Markovian jump systems involving input time delays. On the basis of Matausek–Micic modified Smith prediction technique, a modified equivalent‐input‐disturbance and multiperiodic modified repetitive controller has been developed for obtaining the required results. In order to reject external disturbances actively, the modified equivalent‐input‐disturbance technique is utilized. To be more explicit, the modification of the Smith predictor block and integration of the transfer function provide accurate estimate, efficient attenuation of external disturbance and proper compensation for input time delays. While constructing the controller gain matrices, the specified matrix inequalities are solved concurrently. At last, the potential and applicability of the framed control law are illustrated through the simulated findings.
本文研究了一类涉及输入时间延迟的中性描述符半马尔可夫跃迁系统的跟踪控制和扰动衰减的构造。在 Matausek-Micic 修正 Smith 预测技术的基础上，开发了一种修正等效输入扰动和多周期修正重复控制器，以获得所需的结果。为了主动拒绝外部干扰，采用了修正的等效输入干扰技术。更明确地说，对史密斯预测块的修改和传递函数的整合提供了精确的估计、对外部干扰的有效衰减以及对输入时间延迟的适当补偿。在构建控制器增益矩阵的同时，还要解决指定的矩阵不等式。最后，通过模拟结果说明了框架控制法的潜力和适用性。
{"title":"Disturbance attenuation for neutral descriptor semi‐Markovian jump systems with saturation nonlinearity and time delays","authors":"Saminathan Mohanapriya, Sangmoon Lee, Charles Selvaraj Antony Crispin Sweety, Rathinasamy Sakthivel","doi":"10.1002/asjc.3470","DOIUrl":"https://doi.org/10.1002/asjc.3470","url":null,"abstract":"This article examines the construction of the tracking control as well as the disturbance attenuation for a class of neutral descriptor semi‐Markovian jump systems involving input time delays. On the basis of Matausek–Micic modified Smith prediction technique, a modified equivalent‐input‐disturbance and multiperiodic modified repetitive controller has been developed for obtaining the required results. In order to reject external disturbances actively, the modified equivalent‐input‐disturbance technique is utilized. To be more explicit, the modification of the Smith predictor block and integration of the transfer function provide accurate estimate, efficient attenuation of external disturbance and proper compensation for input time delays. While constructing the controller gain matrices, the specified matrix inequalities are solved concurrently. At last, the potential and applicability of the framed control law are illustrated through the simulated findings.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"80 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a fault identification strategy for nonlinear systems is proposed by combining the deterministic learning (DL)‐based adaptive high‐gain observer (AHGO) with a dynamic event‐triggered mechanism (DETM). The DL theory is utilized to satisfy the partial persistent excitation condition, while the AHGO is employed to estimate the system states and fault functions simultaneously. Two DETMs are adopted to reduce data transmission and computational burden. The inter‐event intervals of the considered event‐triggered mechanisms are proven to be positive, thus excluding the Zeno phenomenon. The novelty of this paper lies in that, through the special design of AHGO and event‐triggered conditions, the estimation errors can converge to zero with arbitrary precision. Meanwhile, by incorporating the estimated output error into the DETM design, it is demonstrated that the number of events can be adaptively adjusted based on the fault signal. Furthermore, the relationship between the observer gain and system performance, as well as the inter‐event interval, is revealed (The event‐triggered mechanisms design method that ensures exponential convergence of the observer). Finally, the effectiveness of the developed strategy is verified through a simulation example.
{"title":"Dynamic event‐triggered fault identification for nonlinear systems via deterministic learning","authors":"Chujian Zeng, Tianrui Chen, Si‐Zhe Chen, Qiuye Wu","doi":"10.1002/asjc.3468","DOIUrl":"https://doi.org/10.1002/asjc.3468","url":null,"abstract":"In this paper, a fault identification strategy for nonlinear systems is proposed by combining the deterministic learning (DL)‐based adaptive high‐gain observer (AHGO) with a dynamic event‐triggered mechanism (DETM). The DL theory is utilized to satisfy the partial persistent excitation condition, while the AHGO is employed to estimate the system states and fault functions simultaneously. Two DETMs are adopted to reduce data transmission and computational burden. The inter‐event intervals of the considered event‐triggered mechanisms are proven to be positive, thus excluding the Zeno phenomenon. The novelty of this paper lies in that, through the special design of AHGO and event‐triggered conditions, the estimation errors can converge to zero with arbitrary precision. Meanwhile, by incorporating the estimated output error into the DETM design, it is demonstrated that the number of events can be adaptively adjusted based on the fault signal. Furthermore, the relationship between the observer gain and system performance, as well as the inter‐event interval, is revealed (The event‐triggered mechanisms design method that ensures exponential convergence of the observer). Finally, the effectiveness of the developed strategy is verified through a simulation example.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"39 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141613814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The issue of fault detection and isolation design in the finite‐frequency domain for discrete‐time Lipschitz nonlinear systems subjected to actuator faults and disturbances is investigated. A bank of H−/L∞ unknown input observers (UIOs) is established using the generalized observer scheme to generate residuals that are insensitive to a specific actuator fault but sensitive to the other actuator faults. Furthermore, in the finite‐frequency domain, the H− and L∞ performance indices are simultaneously used to improve the fault detection sensitivity and attenuate the influence of disturbances on the residuals, respectively. The design conditions for the bank of H−/L∞ UIOs are derived from the generalized Kalman–Yakubovich–Popov lemma and converted into an optimization problem constrained by linear matrix inequalities to solve the design matrices more easily. To diagnose actuator faults, a fault detection and isolation scheme is established using the time‐varying threshold from the L∞ performance analysis. Finally, the effectiveness of the fault detection and isolation scheme using the bank of H−/L∞ UIOs is validated by the simulation of two examples.
{"title":"H−/L∞ UIO‐based fault detection and isolation design in finite‐frequency domain for nonlinear systems","authors":"Sheng Gao, Wei Zhang, Bopi Jin, Siyuan Ma","doi":"10.1002/asjc.3455","DOIUrl":"https://doi.org/10.1002/asjc.3455","url":null,"abstract":"The issue of fault detection and isolation design in the finite‐frequency domain for discrete‐time Lipschitz nonlinear systems subjected to actuator faults and disturbances is investigated. A bank of <jats:italic>H</jats:italic><jats:sub><jats:italic>−</jats:italic></jats:sub><jats:italic>/L</jats:italic><jats:sub><jats:italic>∞</jats:italic></jats:sub> unknown input observers (UIOs) is established using the generalized observer scheme to generate residuals that are insensitive to a specific actuator fault but sensitive to the other actuator faults. Furthermore, in the finite‐frequency domain, the <jats:italic>H</jats:italic><jats:sub><jats:italic>−</jats:italic></jats:sub> and <jats:italic>L</jats:italic><jats:sub>∞</jats:sub> performance indices are simultaneously used to improve the fault detection sensitivity and attenuate the influence of disturbances on the residuals, respectively. The design conditions for the bank of <jats:italic>H</jats:italic><jats:sub><jats:italic>−</jats:italic></jats:sub><jats:italic>/L</jats:italic><jats:sub><jats:italic>∞</jats:italic></jats:sub> UIOs are derived from the generalized Kalman–Yakubovich–Popov lemma and converted into an optimization problem constrained by linear matrix inequalities to solve the design matrices more easily. To diagnose actuator faults, a fault detection and isolation scheme is established using the time‐varying threshold from the <jats:italic>L</jats:italic><jats:sub>∞</jats:sub> performance analysis. Finally, the effectiveness of the fault detection and isolation scheme using the bank of <jats:italic>H</jats:italic><jats:sub><jats:italic>−</jats:italic></jats:sub><jats:italic>/L</jats:italic><jats:sub><jats:italic>∞</jats:italic></jats:sub> UIOs is validated by the simulation of two examples.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"29 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141613813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The dynamic event‐triggered decentralized adaptive fault‐tolerant control strategy is designed for nonlinear interconnected systems with time delay and unknown control directions. The dynamic event‐triggered control scheme where the threshold parameters related to measurement errors are dynamically adjusted by introducing adaptive laws into the control law appropriately increases the time interval for controller update. Then, the Nussbaum function and linear transformation are employed to handle the coupling problem caused by actuator faults and unknown control directions. Meanwhile, the Lyapunov–Krasovskii function is utilized to compensate the effect of time delay and guarantees that all closed‐loop signals are bounded. The errors converge into bounded compact sets around the origin. The validity of the presented scheme is verified via a simulation example.
{"title":"Dynamic event‐triggered‐based decentralized fault‐tolerant control for interconnected nonlinear time‐delay systems with unknown control directions","authors":"Qixia Shen, Wenshuai Lin, Liang Cao, Meng Zhao","doi":"10.1002/asjc.3457","DOIUrl":"https://doi.org/10.1002/asjc.3457","url":null,"abstract":"The dynamic event‐triggered decentralized adaptive fault‐tolerant control strategy is designed for nonlinear interconnected systems with time delay and unknown control directions. The dynamic event‐triggered control scheme where the threshold parameters related to measurement errors are dynamically adjusted by introducing adaptive laws into the control law appropriately increases the time interval for controller update. Then, the Nussbaum function and linear transformation are employed to handle the coupling problem caused by actuator faults and unknown control directions. Meanwhile, the Lyapunov–Krasovskii function is utilized to compensate the effect of time delay and guarantees that all closed‐loop signals are bounded. The errors converge into bounded compact sets around the origin. The validity of the presented scheme is verified via a simulation example.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"25 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141614831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a class of single‐master‐multiple‐slaves (SMMS) bilateral teleoperation systems with the limitation of communication bandwidth is investigated. The signals are exchanged between the master and the slaves through delayed communication. Besides, to avoid data collisions, the Try‐Once‐Discard (TOD) scheduling protocol is utilized to decide which slave gets the network access at each triggered instant. A control algorithm with the event‐triggered mechanism is proposed to ensure the master–slaves synchronization. Furthermore, the closed‐loop system's stability criterion associated with the controller gains, the varying time delays' bounds, and the maximum transmission interval is established on the basis of the Lyapunov–Krasovskii analysis. Finally, the presented algorithm's performance is demonstrated by the simulation and experiment results.
{"title":"Master–slaves synchronization of teleoperation systems with the Try‐Once‐Discard protocol under event‐triggered communication","authors":"Yuling Li, Chenxi Li, Jie Dong, Haijuan Wang","doi":"10.1002/asjc.3458","DOIUrl":"https://doi.org/10.1002/asjc.3458","url":null,"abstract":"In this paper, a class of single‐master‐multiple‐slaves (SMMS) bilateral teleoperation systems with the limitation of communication bandwidth is investigated. The signals are exchanged between the master and the slaves through delayed communication. Besides, to avoid data collisions, the Try‐Once‐Discard (TOD) scheduling protocol is utilized to decide which slave gets the network access at each triggered instant. A control algorithm with the event‐triggered mechanism is proposed to ensure the master–slaves synchronization. Furthermore, the closed‐loop system's stability criterion associated with the controller gains, the varying time delays' bounds, and the maximum transmission interval is established on the basis of the Lyapunov–Krasovskii analysis. Finally, the presented algorithm's performance is demonstrated by the simulation and experiment results.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"23 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event‐triggered continuous‐time optimization algorithm to overcome the bandwidth limitation of multi‐agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event‐triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous‐time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving.
{"title":"Linear convergence of event‐triggered distributed optimization with metric subregularity condition","authors":"Xin Yu, Songsong Cheng, Jianbin Qiu, Yuan Fan","doi":"10.1002/asjc.3467","DOIUrl":"https://doi.org/10.1002/asjc.3467","url":null,"abstract":"This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event‐triggered continuous‐time optimization algorithm to overcome the bandwidth limitation of multi‐agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event‐triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous‐time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"3 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The problem of fixed‐time adaptive event‐triggered fault‐tolerant control (FTC) is investigated for a class of nonlinear systems with actuator failures in this paper. Firstly, by utilizing back‐stepping algorithm and the fixed‐time stable criterion, a novel fixed‐time adaptive fault‐tolerant controller and parameter updated laws in forms of nonlinear differential equations are developed to counteract actuator faults and parameter uncertainties in fixed time. Then, the event‐triggered mechanism based on the relative threshold method is applied to the proposed control scheme to save network resources. Furthermore, by the Lyapunov stability theory, it can be proven that all the closed‐loop signals of system remain bounded, and the tracking error converges into a small neighborhood of the origin within fixed time interval. Finally, the simulation examples are shown to verify the feasibility and efficiency of the presented strategy.
{"title":"Fixed‐time adaptive event‐triggered fault‐tolerant control of nonlinear systems with actuator failures","authors":"Qi Chen, Li‐Bing Wu, Ming Chen, Ming‐Rui Liu","doi":"10.1002/asjc.3466","DOIUrl":"https://doi.org/10.1002/asjc.3466","url":null,"abstract":"The problem of fixed‐time adaptive event‐triggered fault‐tolerant control (FTC) is investigated for a class of nonlinear systems with actuator failures in this paper. Firstly, by utilizing back‐stepping algorithm and the fixed‐time stable criterion, a novel fixed‐time adaptive fault‐tolerant controller and parameter updated laws in forms of nonlinear differential equations are developed to counteract actuator faults and parameter uncertainties in fixed time. Then, the event‐triggered mechanism based on the relative threshold method is applied to the proposed control scheme to save network resources. Furthermore, by the Lyapunov stability theory, it can be proven that all the closed‐loop signals of system remain bounded, and the tracking error converges into a small neighborhood of the origin within fixed time interval. Finally, the simulation examples are shown to verify the feasibility and efficiency of the presented strategy.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"31 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This work presents a resilient distributed model predictive control (MPC) method for linear parameter varying (LPV) systems with state delays and attacks in communication networks. Coordinations are required for distributed MPC (DMPC) to achieve the global performance of centralized MPC (CMPC). However, control performance can be severely degraded by unreliable communication networks, for example, with denial of service (DoS) attacks. A resilient control framework is derived to address the unreliable communications in DMPC. A global system is divided into subsystems for the distributed control purpose. To deal with the model uncertainties and state delays, a “min‐max” DMPC algorithm is presented with a buffer to ensure resilience against DoS attacks. A quantization scheme is introduced to quantize the control information exchanged between subsystems. An iterative interaction scheme is proposed to exchange feedback control laws among subsystems. The stability of the closed‐loop system under the proposed algorithm is ensured by using a Lyapunov function method. The effectiveness of the proposed DMPC is demonstrated through two simulation examples.
{"title":"Resilient distributed model predictive control of state‐delayed linear parameter varying systems with quantitative communication against denial of service attacks","authors":"Aiping Zhong, Wanlin Lu, Langwen Zhang","doi":"10.1002/asjc.3465","DOIUrl":"https://doi.org/10.1002/asjc.3465","url":null,"abstract":"This work presents a resilient distributed model predictive control (MPC) method for linear parameter varying (LPV) systems with state delays and attacks in communication networks. Coordinations are required for distributed MPC (DMPC) to achieve the global performance of centralized MPC (CMPC). However, control performance can be severely degraded by unreliable communication networks, for example, with denial of service (DoS) attacks. A resilient control framework is derived to address the unreliable communications in DMPC. A global system is divided into subsystems for the distributed control purpose. To deal with the model uncertainties and state delays, a “min‐max” DMPC algorithm is presented with a buffer to ensure resilience against DoS attacks. A quantization scheme is introduced to quantize the control information exchanged between subsystems. An iterative interaction scheme is proposed to exchange feedback control laws among subsystems. The stability of the closed‐loop system under the proposed algorithm is ensured by using a Lyapunov function method. The effectiveness of the proposed DMPC is demonstrated through two simulation examples.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"36 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141575593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a dynamic event‐triggered control problem is discussed for 2‐D continuous systems by the Roesser model. In order to reduce communication frequency and avoid dependence on global information, a dynamic event‐triggered mechanism is constructed, which is more flexible than some existing event‐triggered schemes with fixed event‐triggered thresholds. Utilizing the dynamic event‐triggered mechanism, a state feedback controller is designed. By constructing a 2‐D Lyapunov function, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are firstly established such that the 2‐D system is asymptotically stable with a disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, two examples are provided to illustrate the effectiveness of the proposed method.
{"title":"Dynamic event‐triggered control of 2‐D continuous systems in Roesser model","authors":"Hongsheng Hu, Yunhe Meng, Shipei Huang","doi":"10.1002/asjc.3454","DOIUrl":"https://doi.org/10.1002/asjc.3454","url":null,"abstract":"In this paper, a dynamic event‐triggered control problem is discussed for 2‐D continuous systems by the Roesser model. In order to reduce communication frequency and avoid dependence on global information, a dynamic event‐triggered mechanism is constructed, which is more flexible than some existing event‐triggered schemes with fixed event‐triggered thresholds. Utilizing the dynamic event‐triggered mechanism, a state feedback controller is designed. By constructing a 2‐D Lyapunov function, sufficient conditions expressed in terms of linear matrix inequalities (LMIs) are firstly established such that the 2‐D system is asymptotically stable with a disturbance attenuation performance. It is also proved that the Zeno phenomenon is excluded. Finally, two examples are provided to illustrate the effectiveness of the proposed method.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"11 3 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141575591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper studies the restabilization problem of Boolean control networks (BCNs) under the function perturbation. First, an important concept-absorbable attractor is proposed for BCNs. Then, by using this concept, a necessary and sufficient restabilizability criterion is established. This criterion can be used to check whether the perturbed BCN can be restabilized to its original state by modifying the minimum number of parameters in the old controller. Finally, a constructive fine-tuning method is given to modify the old controller. Compared with the existing results, which can only solve the problem of single column function perturbation, our results are more powerful since they are applicable not only to the single column function perturbation problem but also to the case of multiple columns. Finally, two examples are employed to show the effectiveness of our results.
{"title":"Restabilization of perturbed Boolean control networks based on absorbable attractors","authors":"Yanfang Hou, Hui Tian, Chengmao Wang","doi":"10.1002/asjc.3464","DOIUrl":"https://doi.org/10.1002/asjc.3464","url":null,"abstract":"The paper studies the restabilization problem of Boolean control networks (BCNs) under the function perturbation. First, an important concept-absorbable attractor is proposed for BCNs. Then, by using this concept, a necessary and sufficient restabilizability criterion is established. This criterion can be used to check whether the perturbed BCN can be restabilized to its original state by modifying the minimum number of parameters in the old controller. Finally, a constructive fine-tuning method is given to modify the old controller. Compared with the existing results, which can only solve the problem of single column function perturbation, our results are more powerful since they are applicable not only to the single column function perturbation problem but also to the case of multiple columns. Finally, two examples are employed to show the effectiveness of our results.","PeriodicalId":55453,"journal":{"name":"Asian Journal of Control","volume":"13 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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