Feedback Control of Switched Linear Systems with Event-Triggered Link

The paper mainly studies the event-triggered control of switched linear systems with partially random coefficient using average dwell time switching technique. Samplings are active when a triggering condition is satisfied. On every sampling instant, new state and the switching information are transferred to controller. Compared with the zero-order holder, a dynamic controller is introduced in closed-loop to approximate the plant behavior. A sufficient condition guaranteeing stability is established by using Lyapunov function method. A related example is presented finally.

[1]  Jun Fu,et al.  Event-triggered control of switched linear systems , 2017, J. Frankl. Inst..

[2]  Jun Fu,et al.  Sampled-data-based stabilization of switched linear neutral systems , 2016, Autom..

[3]  Xin Wang,et al.  Event-triggered control for continuous-time switched systems , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[4]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[5]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[6]  Qing-Long Han,et al.  Event-triggered dynamic output feedback control for networked control systems , 2014 .

[7]  Jan Lunze,et al.  A state-feedback approach to event-based control , 2010, Autom..

[8]  Gang Feng,et al.  Event-driven observer-based output feedback control for linear systems , 2014, Autom..

[9]  Bruce A. Francis,et al.  Optimal Sampled-Data Control Systems , 1996, Communications and Control Engineering Series.

[10]  Daniel Liberzon,et al.  Finite data-rate feedback stabilization of switched and hybrid linear systems , 2014, Autom..

[11]  Shinji Hara,et al.  Modern and classical analysis/synthesis methods in sampled-data control-a brief overview with numerical examples , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[12]  Paulo Tabuada,et al.  Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks , 2007, IEEE Transactions on Automatic Control.

[13]  Yutaka Yamamoto,et al.  Stability analysis of sampled-data switched systems with quantization , 2015, Autom..

[14]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[15]  Peng Shi,et al.  Input-to-State Stability for Nonlinear Systems With Large Delay Periods Based on Switching Techniques , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[16]  Liu Feng,et al.  Stability condition for sampled data based control of linear continuous switched systems , 2011, Syst. Control. Lett..

[17]  Xue-Jun Xie,et al.  Concurrent Learning-Based Global Exponential Tracking Control of Uncertain Switched Systems With Mode-Dependent Average Dwell Time , 2018, IEEE Access.

[18]  Jun Zhao,et al.  Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings , 2010, Autom..

[19]  Xiaofeng Wang,et al.  Self-Triggered Feedback Control Systems With Finite-Gain ${\cal L}_{2}$ Stability , 2009, IEEE Transactions on Automatic Control.

[20]  Fang Deng,et al.  Stabilization of Switched Linear Neutral Systems: An Event-Triggered Sampling Control Scheme , 2018, IEEE Transactions on Automatic Control.

[21]  Karl-Erik Årzén,et al.  A simple event-based PID controller , 1999 .

[22]  W. P. M. H. Heemels,et al.  Model-based periodic event-triggered control for linear systems , 2013, Autom..

[23]  Georgi M. Dimirovski,et al.  Stability and L2-gain analysis for switched neutral systems with mixed time-varying delays , 2011, J. Frankl. Inst..

[24]  Tai-Fang Li,et al.  Improved event-triggered control for a class of continuous-time switched linear systems , 2018 .

[25]  Ben Niu,et al.  p‐Times differentiable unbounded functions for robust control of uncertain switched nonlinear systems with tracking constraints , 2015 .

[26]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[27]  Jun Zhao,et al.  Stabilization of networked switched linear systems: An asynchronous switching delay system approach , 2015, Syst. Control. Lett..

[28]  Peng Shi,et al.  Asynchronously switched control of a class of slowly switched linear systems , 2012, Syst. Control. Lett..