Exponential stabilization and non-fragile sampled-date dissipative control for uncertain time-varying delay T-S fuzzy systems with state quantization

Abstract In this paper, the problem of exponential dissipation stability of T-S fuzzy system with state quantization is studied by using non-fragile sampled-data control. First, A Lyapunov-Krasovskii function containing all sampled-data and quantization information is constructed. Second, the better results can be obtained by using the integral inequality and the Newton Leibniz formula. In addition, a dissipative controller for non-fragile sampled-data is designed. Finally, The reasonable examples illustrate the significant improvement and value of this paper.

[1]  Hak-Keung Lam,et al.  Event-Triggered Fuzzy Filtering for Nonlinear Dynamic Systems via Reduced-Order Approach , 2019, IEEE Transactions on Fuzzy Systems.

[2]  Young Hoon Joo,et al.  A Fuzzy Lyapunov–Krasovskii Functional Approach to Sampled-Data Output-Feedback Stabilization of Polynomial Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[3]  Peng Shi,et al.  Sampled-Data Fuzzy Control of Chaotic Systems Based on a T–S Fuzzy Model , 2014, IEEE Transactions on Fuzzy Systems.

[4]  Xinzhi Liu,et al.  Stability analysis of delayed Takagi-Sugeno fuzzy systems: a new integral inequality approach , 2017 .

[5]  M. Chaabane,et al.  Robust observer based Fault Tolerant Tracking Control for T-S uncertain systems subject to sensor and actuator faults. , 2019, ISA transactions.

[6]  Hamid Reza Karimi,et al.  An Improved Result on Exponential Stabilization of Sampled-Data Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[7]  Guang-Hong Yang,et al.  Observer-based fault detection for T-S fuzzy systems subject to measurement outliers , 2019, Neurocomputing.

[8]  Ruchuan Wang,et al.  Distributed Soft Fault Detection for Interval Type-2 Fuzzy-Model-Based Stochastic Systems With Wireless Sensor Networks , 2018, IEEE Transactions on Industrial Informatics.

[9]  Peng Shi,et al.  Dissipativity-Based Sampled-Data Fuzzy Control Design and its Application to Truck-Trailer System , 2015, IEEE Transactions on Fuzzy Systems.

[10]  Yuechao Ma,et al.  Exponential stabilization and sampled-date H∞ control for uncertain T-S fuzzy systems with time-varying delay , 2019, J. Frankl. Inst..

[11]  Yuechao Ma,et al.  Observer-based quantized sliding mode dissipative control for singular semi-Markovian jump systems , 2019, Appl. Math. Comput..

[12]  Shengyuan Xu,et al.  Robust H∞ control for uncertain fuzzy systems with distributed delays via output feedback controllers , 2008, Inf. Sci..

[13]  Ligang Wu,et al.  Event-triggered fuzzy control of nonlinear systems with its application to inverted pendulum systems , 2018, Autom..

[14]  Xiaojie Su,et al.  Finite-region dissipative dynamic output feedback control for 2-D FM systems with missing measurements , 2020, Inf. Sci..

[15]  Yajuan Liu,et al.  Stability and Stabilization of Takagi–Sugeno Fuzzy Systems via Sampled-Data and State Quantized Controller , 2016, IEEE Transactions on Fuzzy Systems.

[16]  Yuechao Ma,et al.  Finite-time extended dissipative control for fuzzy systems with nonlinear perturbations via sampled-data and quantized controller. , 2019, ISA transactions.

[17]  Myeong-Jin Park,et al.  Advanced stability criteria for linear systems with time-varying delays , 2018, J. Frankl. Inst..

[18]  Victor Sreeram,et al.  Fuzzy-Model-Based Nonfragile Control for Nonlinear Singularly Perturbed Systems With Semi-Markov Jump Parameters , 2018, IEEE Transactions on Fuzzy Systems.

[19]  Peng Shi,et al.  Dissipativity-Based Two-Dimensional Control and Filtering for a Class of Switched Systems , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[20]  Changchun Hua,et al.  Robust H∞ stabilization for T-S fuzzy systems with time-varying delays and memory sampled-data control , 2019, Appl. Math. Comput..

[21]  Lei Guo,et al.  H∞ sampled-data fuzzy control for attitude tracking of mars entry vehicles with control constraints , 2019, Inf. Sci..

[22]  Yuanqing Xia,et al.  Fuzzy-Model-Based Sampled-Data Control of Chaotic Systems: A Fuzzy Time-Dependent Lyapunov–Krasovskii Functional Approach , 2017, IEEE Transactions on Fuzzy Systems.

[23]  Yuechao Ma,et al.  Non-fragile sampled-date dissipative analysis for uncertain T–S fuzzy time delay system with actuator saturation. , 2020, ISA transactions.

[24]  Guilin Wen,et al.  Improved stability criteria for time-varying delayed T-S fuzzy systems via delay partitioning approach , 2011, Fuzzy Sets Syst..

[25]  Shu Liang,et al.  Distributed Dual Subgradient Algorithms With Iterate-Averaging Feedback for Convex Optimization With Coupled Constraints , 2019, IEEE Transactions on Cybernetics.

[26]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[27]  Min Wu,et al.  New Delay-dependent Stability Criteria for T-S Fuzzy Systems with a Time-varying Delay , 2008 .

[28]  Yuechao Ma,et al.  Stochastic admissibility of singular Markov jump systems with time-delay via sliding mode approach , 2020, Appl. Math. Comput..

[29]  Ligang Wu,et al.  Adaptive Fuzzy Control for Nonlinear Networked Control Systems , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[30]  Jianbin Qiu,et al.  A Switched System Approach to Exponential Stabilization of Sampled-Data T–S Fuzzy Systems With Packet Dropouts , 2016, IEEE Transactions on Cybernetics.

[31]  Jun Wang,et al.  New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies , 2019, Appl. Math. Comput..

[32]  Peng Yu,et al.  Observer-based asynchronous control for Markov jump systems , 2020, Appl. Math. Comput..

[33]  Dong Yue,et al.  An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling , 2012, IEEE Transactions on Fuzzy Systems.

[34]  Tao Li,et al.  New stability conditions for uncertain T-S fuzzy systems with interval time-varying delay , 2012, International Journal of Control, Automation and Systems.

[35]  Hak-Keung Lam,et al.  A New Approach to Stability and Stabilization Analysis for Continuous-Time Takagi–Sugeno Fuzzy Systems With Time Delay , 2018, IEEE Transactions on Fuzzy Systems.

[36]  Hamid Reza Karimi,et al.  Dissipativity-Based Fuzzy Integral Sliding Mode Control of Continuous-Time T-S Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[37]  Selvaraj Marshal Anthoni,et al.  Dissipative analysis for aircraft flight control systems with randomly occurring uncertainties via non-fragile sampled-data control , 2019, Math. Comput. Simul..

[38]  J. Willems.  Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[39]  Hak-Keung Lam,et al.  New Stability Criterion for Continuous-Time Takagi–Sugeno Fuzzy Systems With Time-Varying Delay , 2019, IEEE Transactions on Cybernetics.

[40]  J. Willems.  Dissipative dynamical systems part I: General theory , 1972 .

[41]  Min Wu,et al.  Stability analysis for T-S fuzzy systems with time-varying delay via free-matrix-based integral inequality , 2016, International Journal of Control, Automation and Systems.

[42]  PooGyeon Park,et al.  Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems , 2015, J. Frankl. Inst..

[43]  Xianlin Huang,et al.  Exponential stabilization for fuzzy sampled-data system based on a unified framework and its application , 2017, J. Frankl. Inst..

[44]  Emilia Fridman,et al.  A refined input delay approach to sampled-data control , 2010, Autom..

[45]  Yi Shen,et al.  Adaptive sliding mode fault-tolerant control for type-2 fuzzy systems with distributed delays , 2019, Inf. Sci..

[46]  Jimin Yu,et al.  Observer-Based Output Feedback MPC for T–S Fuzzy System With Data Loss and Bounded Disturbance , 2019, IEEE Transactions on Cybernetics.

[47]  Wen-June Wang,et al.  State/Disturbance Observer and Controller Synthesis for the T–S Fuzzy System With an Enlarged Class of Disturbances , 2018, IEEE Transactions on Fuzzy Systems.