Pub Date : 2014-02-05DOI: 10.1080/21642583.2013.878885
Yang Fang, Kang Yan, Kelin Li
This paper deals with the impulsive synchronization problem of a class of chaotic systems. By employing the comparison principle and the linear matrix inequalities approach, some less conservative and easily verified sufficient conditions for impulsive synchronization of this class of chaotic systems are derived, these new sufficient conditions can be applied to analyze the impulsive synchronization of the Chua's oscillators. Moreover, the numerical simulation of Chua's oscillators under impulsive control shows the effectiveness of the proposed theory, and obtains better estimation of the boundary of the stable region than the existing approaches.
{"title":"Impulsive synchronization of a class of chaotic systems","authors":"Yang Fang, Kang Yan, Kelin Li","doi":"10.1080/21642583.2013.878885","DOIUrl":"https://doi.org/10.1080/21642583.2013.878885","url":null,"abstract":"This paper deals with the impulsive synchronization problem of a class of chaotic systems. By employing the comparison principle and the linear matrix inequalities approach, some less conservative and easily verified sufficient conditions for impulsive synchronization of this class of chaotic systems are derived, these new sufficient conditions can be applied to analyze the impulsive synchronization of the Chua's oscillators. Moreover, the numerical simulation of Chua's oscillators under impulsive control shows the effectiveness of the proposed theory, and obtains better estimation of the boundary of the stable region than the existing approaches.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90205604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-31DOI: 10.1080/21642583.2013.877858
Xin Wang, E. Yaz, James Long
A novel state-dependent control approach for discrete-time nonlinear systems with general performance criteria is presented. This controller is robust for unstructured model uncertainties, resilient against bounded feedback control gain perturbations in achieving optimality for general performance criteria to secure quadratic optimality with inherent asymptotic stability property together with quadratic dissipative type of disturbance reduction. For the system model, unstructured uncertainty description is assumed, which incorporates commonly used types of uncertainties, such as norm-bounded and positive real uncertainties as special cases. By solving a state-dependent linear matrix inequality (LMI) at each time step, sufficient condition for the control solution can be found which satisfies the general performance criteria. The results of this paper unify existing results on nonlinear quadratic regulator, H∞ and positive real control to provide a novel robust control design. The effectiveness of the proposed technique is demonstrated by simulation of the control of inverted pendulum.
{"title":"Robust and resilient state-dependent control of discrete-time nonlinear systems with general performance criteria","authors":"Xin Wang, E. Yaz, James Long","doi":"10.1080/21642583.2013.877858","DOIUrl":"https://doi.org/10.1080/21642583.2013.877858","url":null,"abstract":"A novel state-dependent control approach for discrete-time nonlinear systems with general performance criteria is presented. This controller is robust for unstructured model uncertainties, resilient against bounded feedback control gain perturbations in achieving optimality for general performance criteria to secure quadratic optimality with inherent asymptotic stability property together with quadratic dissipative type of disturbance reduction. For the system model, unstructured uncertainty description is assumed, which incorporates commonly used types of uncertainties, such as norm-bounded and positive real uncertainties as special cases. By solving a state-dependent linear matrix inequality (LMI) at each time step, sufficient condition for the control solution can be found which satisfies the general performance criteria. The results of this paper unify existing results on nonlinear quadratic regulator, H∞ and positive real control to provide a novel robust control design. The effectiveness of the proposed technique is demonstrated by simulation of the control of inverted pendulum.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88900728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-28DOI: 10.1080/21642583.2014.888525
K. Bouibed, L. Seddiki, K. Guelton, H. Akdag
In this paper, a model-based approach to detect and to isolate sensors and actuators faults using nonlinear sliding mode observers is proposed for an actuated seat. The goal is to ensure the comfort and the security of the users in simulators applications. The principle is to reconstruct the state vector of the system by sliding mode observers and to compare the estimated outputs with those measured as residuals. In this work, a multi-observers technique is used. It consists of designing multiple observers such that each observer must be robust to noises and to other uncertainties but sensitive to each actuator or sensor fault. Simulation results are given to show the effectiveness of the approach.
{"title":"Actuator and sensor fault detection and isolation of an actuated seat via nonlinear multi-observers","authors":"K. Bouibed, L. Seddiki, K. Guelton, H. Akdag","doi":"10.1080/21642583.2014.888525","DOIUrl":"https://doi.org/10.1080/21642583.2014.888525","url":null,"abstract":"In this paper, a model-based approach to detect and to isolate sensors and actuators faults using nonlinear sliding mode observers is proposed for an actuated seat. The goal is to ensure the comfort and the security of the users in simulators applications. The principle is to reconstruct the state vector of the system by sliding mode observers and to compare the estimated outputs with those measured as residuals. In this work, a multi-observers technique is used. It consists of designing multiple observers such that each observer must be robust to noises and to other uncertainties but sensitive to each actuator or sensor fault. Simulation results are given to show the effectiveness of the approach.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88326094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-27DOI: 10.1080/21642583.2014.887483
Bo Shen
In this paper, the applications of theory in the signal estimation problems are surveyed. The signal estimation under consideration includes filtering, prediction, smoothing and fault estimation. We first introduce the basic concepts about Krein spaces and the main principle of the linear estimation theory in Krein spaces. Then, the developments on various Krein-space-based filtering, prediction, smoothing technologies as well as their engineering applications are reviewed in great detail. Subsequently, the recent advances on the Krein-space-based fault estimation approaches are discussed. Finally, conclusions are drawn and several possible future research directions are pointed out.
{"title":"A survey on the applications of the Krein-space theory in signal estimation","authors":"Bo Shen","doi":"10.1080/21642583.2014.887483","DOIUrl":"https://doi.org/10.1080/21642583.2014.887483","url":null,"abstract":"In this paper, the applications of theory in the signal estimation problems are surveyed. The signal estimation under consideration includes filtering, prediction, smoothing and fault estimation. We first introduce the basic concepts about Krein spaces and the main principle of the linear estimation theory in Krein spaces. Then, the developments on various Krein-space-based filtering, prediction, smoothing technologies as well as their engineering applications are reviewed in great detail. Subsequently, the recent advances on the Krein-space-based fault estimation approaches are discussed. Finally, conclusions are drawn and several possible future research directions are pointed out.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84811636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-24DOI: 10.1080/21642583.2014.886974
Zhugang Ding, G. Wei, Xueming Ding
In this paper, speed identification and control problems are simultaneously considered for a permanent magnet synchronous motor (PMSM) based on the sliding mode technique. To eliminate the mechanical sensors, an observer is designed to identify the speed of PMSM based on a variable-structure model reference adaptive system, in which a sigmoid function with an adaptive gain is applied to replace the conventional signum function to cope with the chattering problem caused by the discontinuous switch function. Then, a sliding mode speed regulator is developed to overcome the limitations of traditional proportion integration scheme. Desired flexibility, adaptability and high precision are obtained and the stability of the closed-loop system is guaranteed by the proposed strategy. The results of simulation by MATLAB/Simulink indicate that the speed could be estimated and adjusted precisely, and the dynamical property of system is evidently improved.
{"title":"Speed identification and control for permanent magnet synchronous motor via sliding mode approach","authors":"Zhugang Ding, G. Wei, Xueming Ding","doi":"10.1080/21642583.2014.886974","DOIUrl":"https://doi.org/10.1080/21642583.2014.886974","url":null,"abstract":"In this paper, speed identification and control problems are simultaneously considered for a permanent magnet synchronous motor (PMSM) based on the sliding mode technique. To eliminate the mechanical sensors, an observer is designed to identify the speed of PMSM based on a variable-structure model reference adaptive system, in which a sigmoid function with an adaptive gain is applied to replace the conventional signum function to cope with the chattering problem caused by the discontinuous switch function. Then, a sliding mode speed regulator is developed to overcome the limitations of traditional proportion integration scheme. Desired flexibility, adaptability and high precision are obtained and the stability of the closed-loop system is guaranteed by the proposed strategy. The results of simulation by MATLAB/Simulink indicate that the speed could be estimated and adjusted precisely, and the dynamical property of system is evidently improved.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76590467","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-23DOI: 10.1080/21642583.2013.873745
Liguo Qin, Xiao He, D. Zhou
Swarm systems have received increasing research attention in recent years and they can be found in many application areas as diverse as unmanned vehicle formation systems, multi-robot systems, sensor networks, etc. Reliability and safety are important issues in swarm systems, which can be improved by the fault diagnosis technology. In this paper, recent development of fault diagnosis algorithms for swarm systems is reviewed. The description of swarm systems is given, followed by characteristics of faults in swarm systems. Specially, faults in swarm systems are classified into topology faults and component faults. Then fault diagnosis algorithms for swarm systems are classified according to their architectures, fault types and approaches, respectively. Finally, several unsolved problems of fault diagnosis algorithms for swarm systems are highlighted.
{"title":"A survey of fault diagnosis for swarm systems","authors":"Liguo Qin, Xiao He, D. Zhou","doi":"10.1080/21642583.2013.873745","DOIUrl":"https://doi.org/10.1080/21642583.2013.873745","url":null,"abstract":"Swarm systems have received increasing research attention in recent years and they can be found in many application areas as diverse as unmanned vehicle formation systems, multi-robot systems, sensor networks, etc. Reliability and safety are important issues in swarm systems, which can be improved by the fault diagnosis technology. In this paper, recent development of fault diagnosis algorithms for swarm systems is reviewed. The description of swarm systems is given, followed by characteristics of faults in swarm systems. Specially, faults in swarm systems are classified into topology faults and component faults. Then fault diagnosis algorithms for swarm systems are classified according to their architectures, fault types and approaches, respectively. Finally, several unsolved problems of fault diagnosis algorithms for swarm systems are highlighted.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77819019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-22DOI: 10.1080/21642583.2014.886800
Li-Zhi Liu, Fang-Xiang Wu, Wen-Jun Zhang
The S-system, a set of nonlinear ordinary differential equations and derived from the generalized mass action law, is an effective model to describe various biological systems. Parameters in S-systems have significant biological meanings, yet difficult to be estimated because of the nonlinearity and complexity of the model. Given time series biological data, its parameter estimation turns out to be a nonlinear optimization problem. A novel method, auxiliary function guided coordinate descent, is proposed in this paper to solve the optimization problem by cyclically optimizing every parameter. In each iteration, only one parameter value is updated and it proves that the objective function keeps nonincreasing during the iterations. The updating rules in each iteration is simple and efficient. Based on this idea, two algorithms are developed to estimate the S-systems for two different constraint situations. The performances of algorithms are studied in several simulation examples. The results demonstrate the effectiveness of the proposed method.
{"title":"Estimating parameters of S-systems by an auxiliary function guided coordinate descent method","authors":"Li-Zhi Liu, Fang-Xiang Wu, Wen-Jun Zhang","doi":"10.1080/21642583.2014.886800","DOIUrl":"https://doi.org/10.1080/21642583.2014.886800","url":null,"abstract":"The S-system, a set of nonlinear ordinary differential equations and derived from the generalized mass action law, is an effective model to describe various biological systems. Parameters in S-systems have significant biological meanings, yet difficult to be estimated because of the nonlinearity and complexity of the model. Given time series biological data, its parameter estimation turns out to be a nonlinear optimization problem. A novel method, auxiliary function guided coordinate descent, is proposed in this paper to solve the optimization problem by cyclically optimizing every parameter. In each iteration, only one parameter value is updated and it proves that the objective function keeps nonincreasing during the iterations. The updating rules in each iteration is simple and efficient. Based on this idea, two algorithms are developed to estimate the S-systems for two different constraint situations. The performances of algorithms are studied in several simulation examples. The results demonstrate the effectiveness of the proposed method.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76071843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-21DOI: 10.1080/21642583.2014.880995
Zidong Wang
{"title":"The first anniversary of Systems Science & Control Engineering: An Open Access Journal","authors":"Zidong Wang","doi":"10.1080/21642583.2014.880995","DOIUrl":"https://doi.org/10.1080/21642583.2014.880995","url":null,"abstract":"","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88084957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-16DOI: 10.1080/21642583.2014.882281
Qingsong Liu, Yiping Lin
In this paper, a partial dependent predator–prey system with multiple delays is investigated. By choosing τ1, τ2 and τ3 as bifurcating parameters, we show that Hopf bifurcations occur. In addition, by using theory of functional differential equation and Hassard's method, explicit algorithms for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are derived. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.
{"title":"Hopf bifurcation in a partial dependent predator–prey system with multiple delays","authors":"Qingsong Liu, Yiping Lin","doi":"10.1080/21642583.2014.882281","DOIUrl":"https://doi.org/10.1080/21642583.2014.882281","url":null,"abstract":"In this paper, a partial dependent predator–prey system with multiple delays is investigated. By choosing τ1, τ2 and τ3 as bifurcating parameters, we show that Hopf bifurcations occur. In addition, by using theory of functional differential equation and Hassard's method, explicit algorithms for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions are derived. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80033955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-15DOI: 10.1080/21642583.2014.883339
Jinling Liang, Fangbin Sun, Xiaohui Liu
This paper mainly focuses on the H∞ filtering problem for a class of discrete time-varying systems with delays and randomly varying nonlinearities and sensor saturations. Two sets of binary switching sequences taking values of 1 and 0 are introduced to account for the stochastic phenomena of nonlinearities and sensor saturations which occur and influence the dynamics of the system in a probabilistic way. To further reflect the realities of transmission failure in the measurement, missing observation case is also considered simultaneously. By appropriately constructing a time-varying Lyapunov function and utilizing the stochastic analysis technique, sufficient criteria are presented in terms of a set of recursive linear matrix inequalities (RLMIs) under which the filtering error dynamics achieves the prescribed H∞ performance over a finite horizon. Moreover, at each time point k, the time-varying filter parameters can be solved iteratively according to the explicit solutions of the RLMIs. Finally, a numerical simulation is exploited to demonstrate the effectiveness of the proposed filter design scheme.
{"title":"Finite-horizon H∞ filtering for time-varying delay systems with randomly varying nonlinearities and sensor saturations","authors":"Jinling Liang, Fangbin Sun, Xiaohui Liu","doi":"10.1080/21642583.2014.883339","DOIUrl":"https://doi.org/10.1080/21642583.2014.883339","url":null,"abstract":"This paper mainly focuses on the H∞ filtering problem for a class of discrete time-varying systems with delays and randomly varying nonlinearities and sensor saturations. Two sets of binary switching sequences taking values of 1 and 0 are introduced to account for the stochastic phenomena of nonlinearities and sensor saturations which occur and influence the dynamics of the system in a probabilistic way. To further reflect the realities of transmission failure in the measurement, missing observation case is also considered simultaneously. By appropriately constructing a time-varying Lyapunov function and utilizing the stochastic analysis technique, sufficient criteria are presented in terms of a set of recursive linear matrix inequalities (RLMIs) under which the filtering error dynamics achieves the prescribed H∞ performance over a finite horizon. Moreover, at each time point k, the time-varying filter parameters can be solved iteratively according to the explicit solutions of the RLMIs. Finally, a numerical simulation is exploited to demonstrate the effectiveness of the proposed filter design scheme.","PeriodicalId":22127,"journal":{"name":"Systems Science & Control Engineering: An Open Access Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2014-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85249030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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