Stabilization for networked control systems subject to actuator saturation and network-induced delays

Abstract In this paper, stabilization is presented for a networked control system with actuator saturation and network-induced delays. A method is exploited at updating steps of control signal rather than sampling steps in the networked control system under actuator saturation. A network-based controller is designed under the limitation of actuator saturation. With a cone complementary linearization approach, a presented scheme is also used to estimate the domain of attraction for the networked control system. A numerical simulation is provided to show the effectiveness and correctness of the method in this paper.

[1]  Bo Yu,et al.  Robust mixed H2/H∞ control of networked control systems with random time delays in both forward and backward communication links , 2011, Autom..

[2]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[3]  Renquan Lu,et al.  H∞ control for networked control systems with time delay, data packet dropout and disorder , 2016, Neurocomputing.

[4]  Derui Ding,et al.  Distributed recursive filtering for stochastic systems under uniform quantizations and deception attacks through sensor networks , 2017, Autom..

[5]  Shuai Liu,et al.  Error-constrained reliable tracking control for discrete time-varying systems subject to quantization effects , 2016, Neurocomputing.

[6]  Yonggang Chen,et al.  Stabilization of neutral time-delay systems with actuator saturation via auxiliary time-delay feedback , 2015, Autom..

[7]  Nathan van de Wouw,et al.  Stability of Networked Control Systems With Uncertain Time-Varying Delays , 2009, IEEE Transactions on Automatic Control.

[8]  James Lam,et al.  Constrained predictive control synthesis for quantized systems with Markovian data loss , 2015, Autom..

[9]  Guo-Ping Liu,et al.  Modeling and Stabilization of Continuous-Time Packet-Based Networked Control Systems , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[11]  Shaocheng Tong,et al.  Output feedback robust stabilization of switched fuzzy systems with time-delay and actuator saturation , 2015, Neurocomputing.

[12]  Yukun Sun,et al.  Improvement on Stability Analysis for Linear Systems Under State Saturation , 2008, IEEE Transactions on Automatic Control.

[13]  Jianliang Wang,et al.  H∞ Controller Design of Networked Control Systems with Markov Packet Dropouts , 2013, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[14]  Bin Zhou,et al.  Analysis and design of discrete-time linear systems with nested actuator saturations , 2013, Syst. Control. Lett..

[15]  Qing-Long Han,et al.  Event-based input and state estimation for linear discrete time-varying systems , 2018, Int. J. Control.

[16]  Jianwei Xia,et al.  Networked control system with asynchronous samplings and quantizations in both transmission and receiving channels , 2017, Neurocomputing.

[17]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[18]  Yuanqing Xia,et al.  Design and Stability Criteria of Networked Predictive Control Systems With Random Network Delay in the Feedback Channel , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

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

[20]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

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

[22]  Yugang Niu,et al.  Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements , 2017, J. Frankl. Inst..

[23]  Yugang Niu,et al.  Networked predictive control of constrained linear systems with input quantisation , 2013, Int. J. Syst. Sci..

[24]  Huaicheng Yan,et al.  Event-triggered H∞ control for uncertain networked T-S fuzzy systems with time delay , 2015, Neurocomputing.

[25]  Shuang Li,et al.  Networked predictive control for nonlinear systems with stochastic disturbances in the presence of data losses , 2016, Neurocomputing.

[26]  Zongli Lin,et al.  Stability analysis for linear systems under state constraints , 2004, Proceedings of the 2004 American Control Conference.

[27]  Wen-Jer Chang,et al.  Fuzzy control of multiplicative noised nonlinear systems subject to actuator saturation and H∞ performance constraints , 2015, Neurocomputing.

[28]  Yuanqing Xia,et al.  Stabilization of networked control systems with nonuniform random sampling periods , 2011 .

[29]  Y. Niu,et al.  Robust finite-time bounded control for discrete-time stochastic systems with communication constraint , 2015 .

[30]  Zidong Wang,et al.  Filtering for Networked Stochastic Time-Delay Systems With Sector Nonlinearity , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[31]  Nathan van de Wouw,et al.  A discrete-time framework for stability analysis of nonlinear networked control systems , 2012, Autom..

[32]  Yan Song,et al.  Distributed model predictive control for polytopic uncertain systems with randomly occurring actuator saturation and packet loss , 2014 .

[33]  Min Wu,et al.  Improved stabilisation method for networked control systems , 2007 .

[34]  Ahmad Haidar,et al.  Delay-range-dependent control synthesis for time-delay systems with actuator saturation , 2008, Autom..

[35]  Yuanqing Xia,et al.  Fuzzy Delay Compensation Control for T-S Fuzzy Systems Over Network , 2013, IEEE Transactions on Cybernetics.

[36]  Fuwen Yang,et al.  Observer-based networked control for continuous-time systems with random sensor delays , 2009, Autom..

[37]  Yugang Niu,et al.  Design of Sliding Mode Control Subject to Packet Losses , 2010, IEEE Transactions on Automatic Control.

[38]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..

[39]  Yuanqing Xia,et al.  Output feedback delay compensation control for networked control systems with random delays , 2014, Inf. Sci..

[40]  Yuanqing Xia,et al.  A network-bound-dependent stabilization method of networked control systems , 2013, Autom..

[41]  Xuemin Chen,et al.  A Review on Analysis and Synthesis of Nonlinear Stochastic Systems with Randomly Occurring Incomplete Information , 2012 .

[42]  Goshaidas Ray,et al.  Improved delay-dependent stabilization of time-delay systems with actuator saturation , 2014 .