Dissipative controller design for uncertain neutral systems with semi‐Markovian jumping parameters

This paper is concerned with the problem of dissipative controller design for neutral systems with semi‐Markovian jumping parameters and norm‐bounded parameter uncertainties. First, a new stability criterion is obtained by applying a more accurate integral inequality and a delay‐partitioning approach, which is less conservative than those existing results. Second, based on the stability criterion, sufficient conditions for the existence of a state‐feedback controller, which ensures that the resulting closed‐loop system is stochastically stable and dissipative, are proposed. The controller gains can be obtained by using feasible solutions to a certain set of linear matrix inequalities. Finally, 2 numerical examples are provided to illustrate the effectiveness of the controller design method.

[1]  Xunyuan Yin,et al.  Distributed State Estimation of Sensor-Network Systems Subject to Markovian Channel Switching With Application to a Chemical Process , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Wei Xing Zheng,et al.  Observer-Based Control for Piecewise-Affine Systems With Both Input and Output Quantization , 2017, IEEE Transactions on Automatic Control.

[3]  Qing-Guo Wang,et al.  Mode-dependent filter design for Markov jump systems with sensor nonlinearities in finite frequency domain , 2017, Signal Process..

[4]  Qingsong Liu,et al.  Input delay compensation for neutral type time-delay systems , 2017, Autom..

[5]  Hao Shen,et al.  Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[6]  Guang-Hong Yang,et al.  Decentralized fault detection and isolation of Markovian jump interconnected systems with unknown interconnections , 2017 .

[7]  Xunyuan Yin,et al.  Asynchronous Filtering for Discrete-Time Fuzzy Affine Systems With Variable Quantization Density , 2017, IEEE Transactions on Cybernetics.

[8]  Shasha Fu,et al.  Observer-based sensor fault-tolerant control for semi-Markovian jump systems , 2016 .

[9]  Jun Fu,et al.  Sampled-data-based stabilization of switched linear neutral systems , 2016, Autom..

[10]  Dan Ye,et al.  A Separated Approach to Control of Markov Jump Nonlinear Systems With General Transition Probabilities , 2016, IEEE Transactions on Cybernetics.

[11]  Shengyuan Xu,et al.  Stability and stabilisation of neutral stochastic delay Markovian jump systems , 2016 .

[12]  Xunyuan Yin,et al.  Robust Control of Networked Systems With Variable Communication Capabilities and Application to a Semi-Active Suspension System , 2016, IEEE/ASME Transactions on Mechatronics.

[13]  Zidong Wang,et al.  Distributed Filtering for Fuzzy Time-Delay Systems With Packet Dropouts and Redundant Channels , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[14]  Peng Shi,et al.  Stability and Stabilization of a Class of Discrete-Time Fuzzy Systems With Semi-Markov Stochastic Uncertainties , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[15]  Yongkun Li,et al.  Improved stability and H∞ performance for neutral systems with uncertain Markovian jump , 2016 .

[16]  Patrizio Colaneri,et al.  Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems via Semi-Markov Kernel Approach , 2016, IEEE Transactions on Automatic Control.

[17]  Ju H. Park,et al.  Reliable mixed passive and ℋ∞ filtering for semi‐Markov jump systems with randomly occurring uncertainties and sensor failures , 2015 .

[18]  Jin-Hua She,et al.  New results on stability analysis for systems with discrete distributed delay , 2015, Autom..

[19]  Baoyong Zhang,et al.  Relaxed stability criteria for linear neutral systems with constant delays , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[20]  Ligang Wu,et al.  Quantized Control Design for Cognitive Radio Networks Modeled as Nonlinear Semi-Markovian Jump Systems , 2015, IEEE Transactions on Industrial Electronics.

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

[22]  Ligang Wu,et al.  State estimation and sliding mode control for semi-Markovian jump systems with mismatched uncertainties , 2015, Autom..

[23]  Yang Shi,et al.  Active fault tolerant control systems by the semi‐Markov model approach , 2014 .

[24]  Yong-ming Li,et al.  New mixed-delay-dependent robust stability conditions for uncertain linear neutral systems , 2014 .

[25]  Hongsheng Xi,et al.  On exponential stability of neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates , 2014 .

[26]  Yang Shi,et al.  Stochastic stability and robust stabilization of semi‐Markov jump linear systems , 2013 .

[27]  Ju H. Park,et al.  A multiple integral approach to stability of neutral time-delay systems , 2013, Appl. Math. Comput..

[28]  Zhiguang Feng,et al.  Reliable Dissipative Control for Singular Markovian Systems , 2013 .

[29]  Pagavathigounder Balasubramaniam,et al.  L2-L∞L2-L∞ Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities , 2013, Appl. Math. Comput..

[30]  Yugang Niu,et al.  Design of sliding mode control for neutral delay systems with perturbation in control channels , 2012 .

[31]  R. Rakkiyappan,et al.  Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach , 2012 .

[32]  Shengyuan Xu,et al.  Robust H ∞ filter design of uncertain T-S fuzzy neutral systems with time-varying delays , 2011, Int. J. Syst. Sci..

[33]  Shengyuan Xu,et al.  Fuzzy H ∞ filtering for nonlinear Markovian jump neutral systems , 2011, Int. J. Syst. Sci..

[34]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[35]  Syed Ahmed Pasha,et al.  A Gaussian Mixture PHD Filter for Jump Markov System Models , 2009, IEEE Transactions on Aerospace and Electronic Systems.

[36]  Qing-Long Han,et al.  Improved stability criteria and controller design for linear neutral systems , 2009, Autom..

[37]  Guoping Liu,et al.  Delay‐dependent stability and stabilization of neutral time‐delay systems , 2009 .

[38]  Shengyuan Xu,et al.  Delay-Dependent $H_{\infty }$ Control and Filtering for Uncertain Markovian Jump Systems With Time-Varying Delays , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[39]  R. Martin,et al.  Stability analysis for neutral systems with mixed delays , 2007 .

[40]  Qing-Long Han.  A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices , 2005, Int. J. Syst. Sci..

[41]  Shengyuan Xu,et al.  Non-fragile positive real control for uncertain linear neutral delay systems , 2004, Syst. Control. Lett..

[42]  Guo-Ping Liu,et al.  Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays , 2004, Syst. Control. Lett..

[43]  Shengyuan Xu,et al.  Robust H∞ control for uncertain linear neutral delay systems , 2002 .

[44]  J. Lam,et al.  Robust H∞ control of uncertain Markovian jump systems with time-delay , 2000, IEEE Trans. Autom. Control..

[45]  Konrad Reif,et al.  Stochastic stability of the discrete-time extended Kalman filter , 1999, IEEE Trans. Autom. Control..