Event-Triggered Control of Discrete-Time Switched Linear Systems via Communication Channels with Limited Capacity

This chapter considers the state feedback control problem for discrete-time switched linear systems via communication channels with limited capacity. It is assumed that the controller only accesses the successfully event-triggered transmitted signal of switching mode and system state. Considering the signal transmission delays and packet dropout respectively, switching mode based event-triggered transmission conditions are proposed to mitigate the unnecessary data transmission. Based on the new switching signal generated by merging the original switching signal with event-triggering transmitted signal, the closed-loop systems become switched systems with time delay. Then, utilizing the average dwell time technical and multiple Lyapunov functional methods, exponential stability conditions for the closed-loop systems are derived. Furthermore, linear matrix inequalities based co-design methods of event-trigger parameters and state feedback controller gains are proposed. Numerical examples illustrate the effectiveness of obtained results.

[1]  Eloy García,et al.  Model-Based Event-Triggered Control for Systems With Quantization and Time-Varying Network Delays , 2013, IEEE Transactions on Automatic Control.

[2]  K. Åström,et al.  Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems , 1999 .

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

[4]  Nong Zhang,et al.  Switched control of vehicle suspension based on motion-mode detection , 2014 .

[5]  Feng Zhu,et al.  Optimal control of hybrid switched systems: A brief survey , 2015, Discret. Event Dyn. Syst..

[6]  Jun Zhao,et al.  Periodic event-triggered control for switched affine systems , 2019, 2019 IEEE 15th International Conference on Control and Automation (ICCA).

[7]  Zheng-Guang Wu,et al.  Event-Triggered Control for Consensus of Multiagent Systems With Fixed/Switching Topologies , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Wen-an Zhang,et al.  Modelling and control of networked control systems with both network-induced delay and packet-dropout , 2008, Autom..

[9]  Zhou Gu,et al.  Event-driven finite-time control for continuous-time networked switched systems under cyber attacks , 2020, J. Frankl. Inst..

[10]  Peng Shi,et al.  $l_{2}-l_{\infty}$ Model Reduction for Switched LPV Systems With Average Dwell Time , 2008, IEEE Transactions on Automatic Control.

[11]  Lei Zou,et al.  Event-Based Finite-Time Filtering for Multirate Systems With Fading Measurements , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Lei Zhou,et al.  Event-Triggered Control of Continuous-Time Switched Linear Systems , 2019, IEEE Transactions on Automatic Control.

[13]  Elbert Hendricks,et al.  Problems in event based engine control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[14]  Hao Shen,et al.  Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals , 2018, Studies in Systems, Decision and Control.

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

[16]  Dong Yue,et al.  Hybrid-Driven-Based ${\mathcal{H}}_\infty$ Control for Networked Cascade Control Systems With Actuator Saturations and Stochastic Cyber Attacks , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Minrui Fei,et al.  Networked ℋ∞ filtering for discrete linear systems with a periodic event-triggering communication scheme , 2013, IET Signal Process..

[18]  Huanshui Zhang,et al.  Stabilization of networked control systems with both network-induced delay and packet dropout , 2015, Autom..

[19]  W. P. M. H. Heemels,et al.  Periodic Event-Triggered Control for Linear Systems , 2013, IEEE Trans. Autom. Control..

[20]  Songlin Hu,et al.  Event-triggered guaranteed cost control for uncertain discrete-time networked control systems with time-varying transmission delays , 2012 .

[21]  Ju H. Park,et al.  Dynamic output-feedback-based H∞ design for networked control systems with multipath packet dropouts , 2016, Appl. Math. Comput..

[22]  Tongwen Chen,et al.  Event triggered robust filter design for discrete-time systems , 2014 .

[23]  Ya-Jun Pan,et al.  Event-Triggered Control for Consensus Problem in Multi-Agent Systems With Quantized Relative State Measurements and External Disturbance , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  Xudong Zhao,et al.  Stability analysis of discrete-time switched linear systems with unstable subsystems , 2016, Appl. Math. Comput..

[25]  Lei Zhou,et al.  Event-triggered H∞ filtering for discrete-time systems over unreliable networks with package dropouts , 2016, Neurocomputing.

[26]  Hao Shen,et al.  A Markov jump model approach to reliable event-triggered retarded dynamic output feedback H∞ control for networked systems , 2017 .

[27]  Zhigang Zeng,et al.  Observer-based H∞ control of discrete time-delay systems with random communication packet losses and multiplicative noises , 2013, Appl. Math. Comput..

[28]  Wei Zhang,et al.  Switched Control of Three-Phase Voltage Source PWM Rectifier Under a Wide-Range Rapidly Varying Active Load , 2012, IEEE Transactions on Power Electronics.

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

[30]  Weiming Xiang,et al.  Event‐triggered control for continuous‐time switched linear systems , 2017, IET Control Theory & Applications.

[31]  Huijun Gao,et al.  Asynchronously switched control of switched linear systems with average dwell time , 2010, Autom..

[32]  Jie Lian,et al.  Sampled-Data Control of Switched Linear Systems With Application to an F-18 Aircraft , 2017, IEEE Transactions on Industrial Electronics.

[33]  Nacim Meslem,et al.  Event-triggered stabilizing controllers for switched linear systems , 2020, Nonlinear Analysis: Hybrid Systems.

[34]  Chen Peng,et al.  Event-triggered communication and H∞H∞ control co-design for networked control systems , 2013, Autom..

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

[36]  Kristi A. Morgansen,et al.  Stability of Time-Delay Feedback Switched Linear Systems , 2010, IEEE Transactions on Automatic Control.

[37]  Huizhong Yang,et al.  Exponential stability of a class of networked control systems with time delays and packet dropouts , 2012, Appl. Math. Comput..

[38]  Dan Zhang,et al.  Distributed Filtering for Switched Linear Systems With Sensor Networks in Presence of Packet Dropouts and Quantization , 2017, IEEE Transactions on Circuits and Systems I: Regular Papers.

[39]  Lei Zhou,et al.  Network synchronization and application of chaotic Lur’e systems based on event-triggered mechanism , 2016 .