Finite-time H∞ control of uncertain networked control systems with randomly varying communication delays.

This paper is concerned with the problem of finite-time H∞ stability analysis of uncertain discrete-time Networked Control Systems (NCSs) with varying communication delays in a random fashion. Both measurement and actuation delays are modeled by two independent Bernoulli distributed white sequences. A dynamic output feedback controller is designed to realize finite time control for this class of NCSs with prescribed H∞ performance level. An iterative algorithm is developed to compute the controller's parameters by means of the Cone Complementarity Linearization Method (CCLM). The validity and feasibility of the proposed stability criterion are confirmed via numerical simulation examples.

[1]  Jinde Cao,et al.  Global finite-time output feedback synchronization for a class of high-order nonlinear systems , 2015 .

[2]  Fan Yang,et al.  Informative conditions for a data set in a MIMO closed‐loop system with a switching controller , 2015 .

[3]  Hamid Reza Karimi,et al.  Fuzzy investment portfolio selection models based on interval analysis approach , 2012 .

[4]  G. Nikolakopoulos,et al.  Constrained Finite Time Control of Networked Systems with Uncertain Delays , 2006, 2006 14th Mediterranean Conference on Control and Automation.

[5]  Yeguo Sun,et al.  Finite-Time Boundedness and Stabilization of Networked Control Systems with Time Delay , 2012 .

[6]  Lihua Xie,et al.  An input-based triggering approach to leader-following problems , 2017, Autom..

[7]  Qing-Long Han,et al.  Modelling and controller design for discrete-time networked control systems with limited channels and data drift , 2014, Inf. Sci..

[8]  Jun Hu,et al.  Robust variance-constrained filtering for a class of nonlinear stochastic systems with missing measurements , 2010, Signal Process..

[9]  Fang Wu,et al.  Networked Control With Reset Quantized State Based on Bernoulli Processing , 2014, IEEE Transactions on Industrial Electronics.

[10]  Yuan Fu-shun.  Finite-time Stabilization of Networked Control Systems , 2011 .

[11]  Akshya Swain,et al.  Robust mode delay-dependent H∞ control of discrete-time systems with random communication delays , 2010 .

[12]  Horacio J. Marquez,et al.  Multirate Output Feedback Control of Nonlinear Networked Control Systems , 2015, IEEE Transactions on Automatic Control.

[13]  Renquan Lu,et al.  Asynchronous Dissipative State Estimation for Stochastic Complex Networks With Quantized Jumping Coupling and Uncertain Measurements , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[14]  Dong Yue,et al.  T–S Fuzzy Model-Based Robust Stabilization for Networked Control Systems With Probabilistic Sensor and Actuator Failure , 2011, IEEE Transactions on Fuzzy Systems.

[15]  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..

[16]  P. Dorato,et al.  Stability and finite-time stability analysis of discrete-time nonlinear networked control systems , 2005, Proceedings of the 2005, American Control Conference, 2005..

[17]  S. Nguang,et al.  Robust H ∞ dynamic output feedback control of networked control systems with congestion control , 2012 .

[18]  Dong Yue,et al.  Network-based robust H ∞ control of systemswith uncertainty , 2005 .

[19]  Guang-Hong Yang,et al.  Fault detection in finite frequency domain for networked control systems with missing measurements , 2013, J. Frankl. Inst..

[20]  Amitava Gupta,et al.  Controller design for Networked Control Systems—An approach based on L2 induced norm , 2016 .

[21]  Jing Wang,et al.  Finite-time H∞ control for a class of Markovian jump delayed systems with input saturation , 2013 .

[22]  Mirza Hamedulla Baig,et al.  Stabilization of networked control systems with random delays , 2012 .

[23]  Xinghuo Yu,et al.  Finite-time $$\varvec{H_{\infty }}$$H∞ control for linear systems with semi-Markovian switching , 2016 .

[24]  Dong Yue,et al.  H∞ filtering for networked systems with partly known distribution transmission delays , 2012, Inf. Sci..

[25]  Dong Yue,et al.  Reliable H ∞  filter design for T–S fuzzy model‐based networked control systems with random sensor failure , 2013 .

[26]  Mingjie Cai,et al.  Adaptive finite-time control for uncertain nonlinear systems with application to mechanical systems , 2016 .

[27]  Daniel W. C. Ho,et al.  Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements , 2009, Autom..

[28]  Renquan Lu,et al.  A New Design of Model Predictive Tracking Control for Networked Control System Under Random Packet Loss and Uncertainties , 2016, IEEE Transactions on Industrial Electronics.

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

[30]  Bruno Sinopoli,et al.  Foundations of Control and Estimation Over Lossy Networks , 2007, Proceedings of the IEEE.

[31]  Peng Shi,et al.  Adaptive output synchronization of heterogeneous network with an uncertain leader , 2017, Autom..

[32]  Yigang He,et al.  Finite-time tracking control for a class of high-order nonlinear systems and its applications , 2014 .

[33]  Corentin Briat,et al.  Deterministic and Stochastic Approaches to Supervisory Control Design for Networked Systems with Time-Varying Communication Delays , 2013, ArXiv.

[34]  James Lam,et al.  Stabilization of Networked Control Systems via Dynamic Output-Feedback Controllers , 2010, SIAM J. Control. Optim..

[35]  Yeguo Sun.  Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout , 2014, Int. J. Syst. Sci..

[36]  Mohammad Javad Yazdanpanah,et al.  Robust finite-time stabilization of uncertain nonlinear systems based on partial stability , 2016 .

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

[38]  Changchun Hua,et al.  Finite-time control for a class of networked control systems with short time-varying delays and sampling jitter , 2015, International Journal of Automation and Computing.

[39]  Fangzheng Gao,et al.  Finite-time Stabilization of Networked Control Systems Subject to Communication Delay , 2011 .

[40]  Jia You,et al.  Observer-based controller design for networked control systems with sensor quantisation and random communication delay , 2012, Int. J. Syst. Sci..

[41]  Yigang He,et al.  Finite-time output feedback control for a class of second-order nonlinear systems with application to DC–DC buck converters , 2014 .

[42]  Caixia Liu,et al.  Robust finite-time H∞ control for uncertain discrete jump systems with time delay , 2012, Appl. Math. Comput..

[43]  Wen-An Zhang,et al.  A Robust Control Approach to Stabilization of Networked Control Systems with Short Time-varying Delays , 2010 .

[44]  S. Nguang,et al.  Robust H∞ state feedback control of NCSs with Poisson noise and successive packet dropouts , 2014, International Journal of Control, Automation and Systems.

[45]  Wilfrid Perruquetti,et al.  Finite-time stability and stabilization of time-delay systems , 2008, Syst. Control. Lett..

[46]  Huaicheng Yan,et al.  H∞ control for networked control systems with limited information , 2012, J. Frankl. Inst..

[47]  Silvia Mastellone,et al.  Finite-Time Stability of Nonlinear Networked-Control Systems , 2004 .

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

[49]  Fuwen Yang,et al.  An Iterative Lmi Approach to H ∞ Networked Control with Random Communication Delays , 2022 .

[50]  Rathinasamy Sakthivel,et al.  Finite-time boundedness and dissipativity analysis of networked cascade control systems , 2016 .

[51]  Babak Tavassoli,et al.  Using AQM for performance improvement of networked control systems , 2015, International Journal of Control, Automation and Systems.

[52]  Fuwen Yang,et al.  Robust $H_{\infty}$ Control for Networked Systems With Random Packet Losses , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

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

[54]  Li Yu,et al.  A Robust Control Approach to Stabilization of Networked Control Systems with Short Time-varying Delays , 2010 .