Output feedback control of networked systems with a stochastic communication protocol

This paper addresses an output feedback control problem for a class of networked control systems (NCSs) with a stochastic communication protocol. Under the scenario that only one sensor is allowed to obtain the communication access at each transmission instant, a stochastic communication protocol is first defined, where the communication access is modelled by a discrete-time Markov chain with partly unknown transition probabilities. Secondly, by use of a network-based output feedback control strategy and a time-delay division method, the closed-loop system is modeled as a stochastic system with multi time-varying delays, where the inherent characteristic of the network delay is well considered to improve the control performance. Then, based on the above constructed stochastic model, two sufficient conditions are derived for ensuring the mean-square stability and stabilization of the system under consideration. Finally, two examples are given to show the effectiveness of the proposed method.

[1]  Dong Yue,et al.  A delay distribution based stability analysis and synthesis approach for networked control systems , 2009, J. Frankl. Inst..

[2]  Huaicheng Yan,et al.  Distributed event-triggered control for consensus of multi-agent systems , 2015, J. Frankl. Inst..

[3]  Emilia Fridman,et al.  Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality , 2015, IEEE Transactions on Automatic Control.

[4]  Guanghui Wen,et al.  Event-Triggered Master–Slave Synchronization With Sampled-Data Communication , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Karl Henrik Johansson,et al.  Networked Control With Stochastic Scheduling , 2015, IEEE Transactions on Automatic Control.

[6]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[7]  Jin Zhang,et al.  Improved Stability and Stabilization Criteria for Uncertain T–S Fuzzy Systems with Interval Time-Varying Delay via Discrete Wirtinger-Based Inequality , 2016, Int. J. Fuzzy Syst..

[8]  Guang-Hong Yang,et al.  Static Output Feedback Control Synthesis for Linear Systems With Time-Invariant Parametric Uncertainties , 2007, IEEE Transactions on Automatic Control.

[9]  Lei Zou,et al.  Observer-based H∞ control of networked systems with stochastic communication protocol: The finite-horizon case , 2016, Autom..

[10]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[11]  Huijun Gao,et al.  New Results on Stability of Discrete-Time Systems With Time-Varying State Delay , 2007, IEEE Transactions on Automatic Control.

[12]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[13]  Lei Zhang,et al.  Communication and control co-design for networked control systems , 2006, Autom..

[14]  Minrui Fei,et al.  On hold or drop out-of-order packets in networked control systems , 2014, Inf. Sci..

[15]  Alexandre Trofino,et al.  Sufficient LMI conditions for output feedback control problems , 1999, IEEE Trans. Autom. Control..

[16]  Hieu Minh Trinh,et al.  Discrete Wirtinger-based inequality and its application , 2015, J. Frankl. Inst..

[17]  Xingyu Wang,et al.  Output-feedback control design for NCSs subject to quantization and dropout , 2009, Inf. Sci..

[18]  Xiefu Jiang,et al.  Stability criteria for linear discrete-time systems with interval-like time-varying delay , 2005, Proceedings of the 2005, American Control Conference, 2005..

[19]  Yugang Niu,et al.  Control strategy with adaptive quantizer's parameters under digital communication channels , 2014, Autom..

[20]  Xia Zhao,et al.  Robust H∞ control for uncertain networked systems with communication constraints , 2013, J. Frankl. Inst..

[21]  Li Yu,et al.  Stabilization of linear discrete‐time networked control systems via protocol and controller co‐design , 2015 .

[22]  Qing-Long Han,et al.  New Stability Criteria for Linear Discrete-Time Systems With Interval-Like Time-Varying Delays , 2011, IEEE Transactions on Automatic Control.

[23]  Qing-Long Han,et al.  On Designing a Novel Self-Triggered Sampling Scheme for Networked Control Systems With Data Losses and Communication Delays , 2016, IEEE Transactions on Industrial Electronics.

[24]  D. Yue,et al.  A piecewise analysis method to stability analysis of linear continuous/discrete systems with time‐varying delay , 2009 .

[25]  Ya-Jun Pan,et al.  Stability analysis of networked control systems with round-robin scheduling and packet dropouts , 2013, J. Frankl. Inst..

[26]  Dong Yue,et al.  Fault tolerant control for systems with interval time-varying delay and actuator saturation , 2013, J. Frankl. Inst..

[27]  Chen Peng,et al.  Event-triggered output-feedback ℋ ∞ control for networked control systems with time-varying sampling , 2015 .

[28]  Dong Yue,et al.  STATE FEEDBACK CONTROLLER DESIGN OF NETWORKED CONTROL SYSTEMS WITH PARAMETER UNCERTAINTY AND STATE‐DELAY , 2006 .

[29]  Qing-Long Han,et al.  H∞ control for networked systems with multiple packet dropouts , 2013, Inf. Sci..

[30]  Frédéric Gouaisbaut,et al.  Wirtinger-based integral inequality: Application to time-delay systems , 2013, Autom..

[31]  James Lam,et al.  Stabilization of Networked Control Systems With a Logic ZOH , 2009, IEEE Transactions on Automatic Control.

[32]  Jin Zhang,et al.  Improved results for linear discrete-time systems with an interval time-varying input delay , 2016, Int. J. Syst. Sci..

[33]  Dong Yue,et al.  Delay-Distribution-Dependent Stability and Stabilization of T–S Fuzzy Systems With Probabilistic Interval Delay , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[34]  Vladimir L. Kharitonov,et al.  Stability of Time-Delay Systems , 2003, Control Engineering.