Discrete-Time MIMO Reset Controller and Its Application to Networked Control Systems

Reset control has been shown to have advantages over linear time-invariant controllers, especially, for control loops with time-delays. In this paper, in order to adapt reset control to networked control systems (NCS), multi-input multi-output discrete-time reset control model is first established by decomposing the controller output and defining appropriate flow set and jump sets. Then, we apply discrete-time reset controllers to NCS with time-varying delays in both forward and feedback channels, the modeling framework of networked reset control systems is given based on switched linear parameter-varying systems, and stability conditions are derived in terms of linear matrix inequalities. Finally, experimental and simulation examples are presented to illustrate the superior performance of the proposed approaches.

[1]  Luca Zaccarian,et al.  Stability and Performance of SISO Control Systems With First-Order Reset Elements , 2011, IEEE Transactions on Automatic Control.

[2]  Nathan van de Wouw,et al.  Comparison of overapproximation methods for stability analysis of networked control systems , 2010, HSCC '10.

[3]  Luca Zaccarian,et al.  Stability properties of reset systems , 2008, Autom..

[4]  Wei Wang,et al.  Input-to-State Stability for Networked Predictive Control With Random Delays in Both Feedback and Forward Channels , 2014, IEEE Transactions on Industrial Electronics.

[5]  Alfonso Baños,et al.  Reset Control for Passive Bilateral Teleoperation , 2011, IEEE Transactions on Industrial Electronics.

[6]  J. C. Clegg.  A nonlinear integrator for servomechanisms , 1958, Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry.

[7]  Adaptive neural output feedback control of nonlinear discrete-time systems , 2011 .

[8]  Jianbin Qiu,et al.  State Estimation in Nonlinear System Using Sequential Evolutionary Filter , 2016, IEEE Transactions on Industrial Electronics.

[9]  Jianbin Qiu,et al.  Fault Detection for Nonlinear Process With Deterministic Disturbances: A Just-In-Time Learning Based Data Driven Method , 2017, IEEE Transactions on Cybernetics.

[10]  Luca Zaccarian,et al.  Position Regulation of an EGR Valve Using Reset Control With Adaptive Feedforward , 2014, IEEE Transactions on Control Systems Technology.

[11]  Xinghuo Yu,et al.  Survey on Recent Advances in Networked Control Systems , 2016, IEEE Transactions on Industrial Informatics.

[12]  Changchun Hua,et al.  Output-Feedback Adaptive Control of Networked Teleoperation System With Time-Varying Delay and Bounded Inputs , 2015, IEEE/ASME Transactions on Mechatronics.

[13]  Julián Salt,et al.  A Delay-Dependent Dual-Rate PID Controller Over an Ethernet Network , 2011, IEEE Transactions on Industrial Informatics.

[14]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.

[15]  Jianbin Qiu,et al.  A Combined Fault-Tolerant and Predictive Control for Network-Based Industrial Processes , 2016, IEEE Transactions on Industrial Electronics.

[16]  Tianyou Chai,et al.  Performance-Based Adaptive Fuzzy Tracking Control for Networked Industrial Processes , 2016, IEEE Transactions on Cybernetics.

[17]  Nathan van de Wouw,et al.  On polytopic inclusions as a modeling framework for systems with time-varying delays , 2010, Autom..

[18]  Nathan van de Wouw,et al.  Overcoming a fundamental time-domain performance limitation by nonlinear control , 2016, Autom..

[19]  Dong Yue,et al.  Stabilization of Systems With Probabilistic Interval Input Delays and Its Applications to Networked Control Systems , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[20]  K. C. Wong,et al.  Plant With Integrator: An Example of Reset Control Overcoming Limitations of Linear Feedback , 2001 .

[21]  Chengzhi Yuan,et al.  Hybrid Control for Switched Linear Systems With Average Dwell Time , 2015, IEEE Transactions on Automatic Control.

[22]  Xin-Ping Guan,et al.  Distributed Adaptive Neural Network Output Tracking of Leader-Following High-Order Stochastic Nonlinear Multiagent Systems With Unknown Dead-Zone Input , 2017, IEEE Transactions on Cybernetics.

[23]  Guanglei Zhao,et al.  On L2 gain performance improvement of linear systems with Lyapunov-based reset control , 2016 .

[24]  Guo-Xing Wen,et al.  Adaptive fuzzy-neural tracking control for uncertain nonlinear discrete-time systems in the NARMAX form , 2011 .

[25]  W. P. M. H. Heemels,et al.  Controller synthesis for networked control systems , 2010, Autom..

[26]  Alireza Khayatian,et al.  Reset law design based on robust model predictive strategy for uncertain systems , 2014 .

[27]  Alfonso Baños,et al.  Network-Based Reset Control Systems With Time-Varying Delays , 2014, IEEE Transactions on Industrial Informatics.

[28]  Dragan Nesic,et al.  A Lyapunov Proof of an Improved Maximum Allowable Transfer Interval for Networked Control Systems , 2007, IEEE Transactions on Automatic Control.

[29]  Guo-Xing Wen,et al.  Direct adaptive robust NN control for a class of discrete-time nonlinear strict-feedback SISO systems , 2011, Neural Computing and Applications.

[30]  Jamal Daafouz,et al.  Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[31]  Gonzalo López-Nicolás,et al.  Reset observers applied to MIMO systems , 2011 .

[32]  C. Hollot,et al.  FUNDAMENTAL PROPERTIES OF RESET CONTROL SYSTEMS , 2002 .

[33]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[34]  Dragan Nesic,et al.  Input-output stability properties of networked control systems , 2004, IEEE Transactions on Automatic Control.

[35]  L. Zaccarian,et al.  First order reset elements and the Clegg integrator revisited , 2005, Proceedings of the 2005, American Control Conference, 2005..

[36]  Jian-Xin Xu,et al.  Iterative Learning Control for Sampled-Data Systems: From Theory to Practice , 2011, IEEE Transactions on Industrial Electronics.

[37]  Hui Li,et al.  Optimal Reset Law Design and Its Application to Transient Response Improvement of HDD Systems , 2011, IEEE Transactions on Control Systems Technology.

[38]  Naixue Xiong,et al.  A class of general transient faults propagation analysis for networked control systems , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[39]  A. Banos,et al.  Discrete-time reset control applied to networked control systems , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[40]  Changchun Hua,et al.  Improved High-Order-Reset-Element Model Based on Circuit Analysis , 2017, IEEE Transactions on Circuits and Systems II: Express Briefs.

[41]  Nathan van de Wouw,et al.  Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach , 2011, IEEE Trans. Autom. Control..