Pub Date : 2017-12-01DOI: 10.1109/ANZCC.2017.8298487
P. Hoang, C. Nguyen, M. Trinh, Byung-Hun Lee, H. Ahn
This paper proposes a distributed coordination and control framework in combined alternating current (AC) and multi-terminal high voltage direct current (MT HVDC) power networks. The provably correct control strategy is designed to confront with exogenous disturbances, unknown load fluctuation and energy sources' contingencies and achieve desired control objectives in which AC frequencies are syn-chronized and power generation is shared among generators. A rigorous analysis of the control strategy is given. We also validate our proposed control scheme by a simulation.
{"title":"Distributed coordination and control in combined AC-MT HVDC power grids","authors":"P. Hoang, C. Nguyen, M. Trinh, Byung-Hun Lee, H. Ahn","doi":"10.1109/ANZCC.2017.8298487","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298487","url":null,"abstract":"This paper proposes a distributed coordination and control framework in combined alternating current (AC) and multi-terminal high voltage direct current (MT HVDC) power networks. The provably correct control strategy is designed to confront with exogenous disturbances, unknown load fluctuation and energy sources' contingencies and achieve desired control objectives in which AC frequencies are syn-chronized and power generation is shared among generators. A rigorous analysis of the control strategy is given. We also validate our proposed control scheme by a simulation.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130538877","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298497
Gan Chen
It is well known that the gain scheduled controller is effective for parameter-varying systems. By using parameter dependent Lyapunov matrix, the performance of the gain scheduled controller is significant. However, the controller gain is calculated by using the inverse of the Lyapunov matrix in ordinary linear matrix inequality framework. When the parameter dependent Lyapunov matrix is applied, the real-time computational burden for the inverse of the parameter dependent Lyapunov matrix cannot be ignored. In this paper, we propose a partly gain scheduled controller synthesis that requires less computational burden for the inverse of parameter dependent matrix. We choose sub-state variables to apply gain scheduling and synthesize a gain scheduling controller for the subsystem. It allows using a lower order parameter dependent matrix in the online calculation. After applying the local gain scheduling controller, we synthesize full state static feedback gain to stabilize the total system by using a parameter dependent Lyapunov matrix. By using a parameter dependent Lyapunov matrix to synthesize the static gain, we expect to reduce some conservativeness.
{"title":"Partly gain scheduled controller based on parameter dependent Lyapunov matrix","authors":"Gan Chen","doi":"10.1109/ANZCC.2017.8298497","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298497","url":null,"abstract":"It is well known that the gain scheduled controller is effective for parameter-varying systems. By using parameter dependent Lyapunov matrix, the performance of the gain scheduled controller is significant. However, the controller gain is calculated by using the inverse of the Lyapunov matrix in ordinary linear matrix inequality framework. When the parameter dependent Lyapunov matrix is applied, the real-time computational burden for the inverse of the parameter dependent Lyapunov matrix cannot be ignored. In this paper, we propose a partly gain scheduled controller synthesis that requires less computational burden for the inverse of parameter dependent matrix. We choose sub-state variables to apply gain scheduling and synthesize a gain scheduling controller for the subsystem. It allows using a lower order parameter dependent matrix in the online calculation. After applying the local gain scheduling controller, we synthesize full state static feedback gain to stabilize the total system by using a parameter dependent Lyapunov matrix. By using a parameter dependent Lyapunov matrix to synthesize the static gain, we expect to reduce some conservativeness.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121043681","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298482
Deepak Kumar, A. Jazlan, V. Sreeram
In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.
{"title":"Generalized time limited Gramian based model reduction","authors":"Deepak Kumar, A. Jazlan, V. Sreeram","doi":"10.1109/ANZCC.2017.8298482","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298482","url":null,"abstract":"In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128452291","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298508
Satnesh Singh, N. Sharma, S. Janardhanan
The paper proposes a discrete-time sliding mode control (DSMC) tactic with unmatched uncertainties. A modified sliding surface is designed such that in the discrete-time sliding mode, the effect of unmatched uncertainties on the system trajectory is minimum. The performance of the proposed control strategy is verified through a simulation of a numerical example.
{"title":"A modified discrete-time sliding surface design for unmatched uncertainties","authors":"Satnesh Singh, N. Sharma, S. Janardhanan","doi":"10.1109/ANZCC.2017.8298508","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298508","url":null,"abstract":"The paper proposes a discrete-time sliding mode control (DSMC) tactic with unmatched uncertainties. A modified sliding surface is designed such that in the discrete-time sliding mode, the effect of unmatched uncertainties on the system trajectory is minimum. The performance of the proposed control strategy is verified through a simulation of a numerical example.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"350 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121900154","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298435
Yilian Zhang, Fuwen Yang, Yanfei Zhu, Jianmin Chen, Jin Zhu
In this paper, an H∞ filtering problem is considered for a class of networked control systems (NCSs) with randomly occurring multiple packet dropouts. A modified mathematical model is proposed which is able to describe the randomly occurring consecutive packet losses with known maximum number of the dropouts. Moreover, with the proposed model, the considered packet loss probabilities can be either the same or different. According to the mathematical model, an H∞ filter is designed for the considered NCSs with known maximum number of consecutive packet dropouts. Simulation results show the effectiveness of the proposed H∞ filtering method.
{"title":"H∞ filtering for networked control systems with randomly occurring consecutive packet losses","authors":"Yilian Zhang, Fuwen Yang, Yanfei Zhu, Jianmin Chen, Jin Zhu","doi":"10.1109/ANZCC.2017.8298435","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298435","url":null,"abstract":"In this paper, an H∞ filtering problem is considered for a class of networked control systems (NCSs) with randomly occurring multiple packet dropouts. A modified mathematical model is proposed which is able to describe the randomly occurring consecutive packet losses with known maximum number of the dropouts. Moreover, with the proposed model, the considered packet loss probabilities can be either the same or different. According to the mathematical model, an H∞ filter is designed for the considered NCSs with known maximum number of consecutive packet dropouts. Simulation results show the effectiveness of the proposed H∞ filtering method.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132699884","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298506
Ruigang Wang, C. K. Tan, J. Bao, M. Hussain
Many chemical processes have timescale multiplicity arising from the coupling between different physico-chemical phenomena. A direct application of classical moving horizon estimation (MHE) to multi-timescale processes may require a long estimation horizon, leading to a high computational load. In this work, we explore a modified MHE scheme where output measurements are selectively chosen based on process dynamics to be used in the MHE optimization problem. This allows the MHE to cover measurements in the distant past up until the latest available measurements without significantly increasing the computational complexity. Simulation studies have shown that the proposed approach provides similar accuracy of state estimation compared to classical MHE with a significant reduction in computational time.
{"title":"A modified moving horizon estimation scheme for multi-timescale chemical processes","authors":"Ruigang Wang, C. K. Tan, J. Bao, M. Hussain","doi":"10.1109/ANZCC.2017.8298506","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298506","url":null,"abstract":"Many chemical processes have timescale multiplicity arising from the coupling between different physico-chemical phenomena. A direct application of classical moving horizon estimation (MHE) to multi-timescale processes may require a long estimation horizon, leading to a high computational load. In this work, we explore a modified MHE scheme where output measurements are selectively chosen based on process dynamics to be used in the MHE optimization problem. This allows the MHE to cover measurements in the distant past up until the latest available measurements without significantly increasing the computational complexity. Simulation studies have shown that the proposed approach provides similar accuracy of state estimation compared to classical MHE with a significant reduction in computational time.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127897146","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298439
A. N. Hanafi, M. Seron, J. Doná, Jesse Cranney
We derive sufficient conditions for the existence of invariant sets for Lure nonlinear systems where the nonlinearity is not matched with the control input. The sector bounded non-linearity is represented as a time-varying parameterised linear function with bounded parameter variations, and the invariant sets are computed by embedding the nonlinear system into a convex polytopic LPV system. We show that the ‘matching’ condition for the nonlinearity can be relaxed for the case when the matrices associated with the nonlinearity satisfy a special relation. An example of a flexible manipulator is provided to illustrate the results.
{"title":"Invariant sets via LPV-embedding for Lure nonlinear systems with unmatched nonlinearities","authors":"A. N. Hanafi, M. Seron, J. Doná, Jesse Cranney","doi":"10.1109/ANZCC.2017.8298439","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298439","url":null,"abstract":"We derive sufficient conditions for the existence of invariant sets for Lure nonlinear systems where the nonlinearity is not matched with the control input. The sector bounded non-linearity is represented as a time-varying parameterised linear function with bounded parameter variations, and the invariant sets are computed by embedding the nonlinear system into a convex polytopic LPV system. We show that the ‘matching’ condition for the nonlinearity can be relaxed for the case when the matrices associated with the nonlinearity satisfy a special relation. An example of a flexible manipulator is provided to illustrate the results.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116716104","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298483
Deepak Kumar, A. Jazlan, V. Sreeram
This paper presents a new limited time interval impulse response Gramians (LTIRG) based model reduction method for single-input single-output (SISO) continuous-time systems. The proposed approach incorporates the time-interval Gramians with impulse response Gramians to preserve the input-output behaviour of the original system for the specified time interval. A numerical example is given to illustrate the proposed approach, and the results are compared with the standard techniques.
{"title":"Model reduction based on limited time interval impulse response gramians","authors":"Deepak Kumar, A. Jazlan, V. Sreeram","doi":"10.1109/ANZCC.2017.8298483","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298483","url":null,"abstract":"This paper presents a new limited time interval impulse response Gramians (LTIRG) based model reduction method for single-input single-output (SISO) continuous-time systems. The proposed approach incorporates the time-interval Gramians with impulse response Gramians to preserve the input-output behaviour of the original system for the specified time interval. A numerical example is given to illustrate the proposed approach, and the results are compared with the standard techniques.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133633936","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298495
Huanshui Zhang, Juanjuan Xu
The optimal linear quadratic controller is usually designed based on a Riccati equation. However, when the Riccati is irregular, the problem becomes much more difficult since it is not clear what tools should be applied instead to design the controller. This paper is concerned with the linear quadratic control problem governed by continuous-time system. We show that the solvability of the open-loop control can be fully depicted by a Gramian matrix and a specified matrix. The controller is given via the Gramian matrix and a standard Riccati equation associated with a subsystem. The key to solve the problem is to convert the open-loop solvability into the controllability of a differential equation based on the maximum principle and the solution of a forward and backward differential equation. It is noted that the derived results can be applied to solve the closed-loop control and the stochastic linear quadratic control.
{"title":"Linear quadratic control when Riccati equation is irregular","authors":"Huanshui Zhang, Juanjuan Xu","doi":"10.1109/ANZCC.2017.8298495","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298495","url":null,"abstract":"The optimal linear quadratic controller is usually designed based on a Riccati equation. However, when the Riccati is irregular, the problem becomes much more difficult since it is not clear what tools should be applied instead to design the controller. This paper is concerned with the linear quadratic control problem governed by continuous-time system. We show that the solvability of the open-loop control can be fully depicted by a Gramian matrix and a specified matrix. The controller is given via the Gramian matrix and a standard Riccati equation associated with a subsystem. The key to solve the problem is to convert the open-loop solvability into the controllability of a differential equation based on the maximum principle and the solution of a forward and backward differential equation. It is noted that the derived results can be applied to solve the closed-loop control and the stochastic linear quadratic control.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116432915","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 : 2017-12-01DOI: 10.1109/ANZCC.2017.8298434
Yilian Zhang, Fuwen Yang, Jianhua Wang, Jianmin Chen, Jin Zhu
In this paper, a set-membership filtering method is proposed in order to effectively track an Unmanned Surface Vessel (USV) in a dual antenna GPS positioning system. According to the relationship between position, velocity and the heading direction, a mathematical model is established to describe the considered USV system. The disturbances of wind, wave and current are modeled as unknown-but-bounded noises and a set-membership filtering scheme is designed which enables the states of the USV to reside in the ellipsoidal estimation sets at each time instant. A simulation experiment is conducted, which assumes that the USV is still in the water with the disturbances of wind, wave and current. Example results are carried out to illustrate the effectiveness of the proposed method.
{"title":"Set-membership filtering approach for path tracking of an unmanned surface vessel system","authors":"Yilian Zhang, Fuwen Yang, Jianhua Wang, Jianmin Chen, Jin Zhu","doi":"10.1109/ANZCC.2017.8298434","DOIUrl":"https://doi.org/10.1109/ANZCC.2017.8298434","url":null,"abstract":"In this paper, a set-membership filtering method is proposed in order to effectively track an Unmanned Surface Vessel (USV) in a dual antenna GPS positioning system. According to the relationship between position, velocity and the heading direction, a mathematical model is established to describe the considered USV system. The disturbances of wind, wave and current are modeled as unknown-but-bounded noises and a set-membership filtering scheme is designed which enables the states of the USV to reside in the ellipsoidal estimation sets at each time instant. A simulation experiment is conducted, which assumes that the USV is still in the water with the disturbances of wind, wave and current. Example results are carried out to illustrate the effectiveness of the proposed method.","PeriodicalId":429208,"journal":{"name":"2017 Australian and New Zealand Control Conference (ANZCC)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129327266","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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