Output feedback L2-gain control of networked control systems subject to round-robin protocol

Abstract This paper considers the output feedback L 2 -gain control problem for continuous-time networked control systems subject to round-robin protocol. The sensors of the considered system are distributed over a network. Round-robin protocol is introduced to schedule the measurement information transmitted from sensors to the controller. Then the closed-loop system is modeled as a kind of time-delay system. According to Lyapunov–Krasovskii method, sufficient conditions are derived to guarantee the exponential stability and the prescribed L 2 -gain of the closed-loop system. The output feedback controller gains are determined efficiently by solving linear matrix inequalities. Finally, one example is reported to illustrate the advantages of the proposed design scheme.

[1]  Tao Yu,et al.  Distributed Networked Controller Design for Large-Scale Systems Under Round-Robin Communication Protocol , 2020, IEEE Transactions on Control of Network Systems.

[2]  Zidong Wang,et al.  Noncooperative Event-Triggered Control Strategy Design With Round-Robin Protocol: Applications to Load Frequency Control of Circuit Systems , 2020, IEEE Transactions on Industrial Electronics.

[3]  Yskandar Hamam,et al.  Optimal integrated control and scheduling of networked control systems with communication constraints: application to a car suspension system , 2006, IEEE Transactions on Control Systems Technology.

[4]  Yan Song,et al.  Robust model predictive control for Markovian jump systems under Round-Robin protocol , 2020 .

[5]  Emilia Fridman,et al.  A Round-Robin Type Protocol for Distributed Estimation with H∞ Consensus , 2014, Syst. Control. Lett..

[6]  Zidong Wang,et al.  Static output‐feedback sliding mode control under round‐robin protocol , 2018, International Journal of Robust and Nonlinear Control.

[7]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[8]  Tao Yu,et al.  Distributed consensus-based estimation and control of large-scale systems under gossip communication protocol , 2020, J. Frankl. Inst..

[9]  Qing-Long Han,et al.  Networked control systems: a survey of trends and techniques , 2020, IEEE/CAA Journal of Automatica Sinica.

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

[11]  Kun Liu,et al.  Stability and L2-gain analysis of Networked Control Systems under Round-Robin scheduling: A time-delay approach , 2012, Syst. Control. Lett..

[12]  Yuanqing Xia,et al.  Recent progress in networked control systems — A survey , 2015, International Journal of Automation and Computing.

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

[14]  Nand Kishor,et al.  Distributed Multi-Agent System-Based Load Frequency Control for Multi-Area Power System in Smart Grid , 2017, IEEE Transactions on Industrial Electronics.

[15]  Chen Peng,et al.  Networked H∞ filtering under a weighted TOD protocol , 2019, Autom..

[16]  Fei-Yue Wang,et al.  Agent-Based Control for Networked Traffic Management Systems , 2005, IEEE Intell. Syst..

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

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

[19]  Ju H. Park,et al.  Robust static output feedback H∞ control design for linear systems with polytopic uncertainties , 2015, Syst. Control. Lett..

[20]  Jalel Zrida,et al.  Sufficient Dilated LMI Conditions for H∞ Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems , 2012, J. Appl. Math..

[21]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.

[22]  Wook Hyun Kwon,et al.  Sufficient LMI conditions for the H/sub /spl infin// output feedback stabilization of linear discrete-time systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[23]  Kun Liu,et al.  Wirtinger's inequality and Lyapunov-based sampled-data stabilization , 2012, Autom..

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