An Input Delay Approach to Interval Type-2 Fuzzy Exponential Stabilization for Nonlinear Unreliable Networked Sampled-Data Control Systems

This paper is devoted to the interval type-2 (IT2) fuzzy exponential stability for nonlinear networked sampled-data control systems with random communication links. By using the input delay approach, the designed networked IT2 fuzzy sampled-data controller can be applied in the continuous-time controlled plant, and the continuous-time Lyapunov–Krasovskii functional (LKF) is constructed. Based on the LKF theory, the stability analysis is conducted in the sense of mathematical expectation, and the sufficient conditions are determined in terms of the linear matrix inequalities. Then, the IT2 fuzzy networked controller is developed such that the networked closed-loop control system is exponentially stable. Finally, the simulation results are used to demonstrate the efficiency of the proposed design. The merits of the proposed algorithm are also shown by some comparative results.

[1]  Jinde Cao,et al.  An Event-Based Asynchronous Approach to Markov Jump Systems With Hidden Mode Detections and Missing Measurements , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[2]  Qing-Long Han,et al.  Network-based output tracking control for T-S fuzzy systems using an event-triggered communication scheme , 2015, Fuzzy Sets Syst..

[3]  Xiangpeng Xie,et al.  Observer-Based Non-PDC Control for Networked T–S Fuzzy Systems With an Event-Triggered Communication , 2017, IEEE Transactions on Cybernetics.

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

[5]  Yuxin Zhao,et al.  Interval Type-2 Fuzzy Model Predictive Control of Nonlinear Networked Control Systems , 2015, IEEE Transactions on Fuzzy Systems.

[6]  Jun Yang,et al.  T-S Fuzzy-Model-Based Robust $H_{\infty}$ Design for Networked Control Systems With Uncertainties , 2007, IEEE Transactions on Industrial Informatics.

[7]  Hongchun Qu,et al.  Output feedback predictive control of interval type-2 T-S fuzzy systems with Markovian packet loss , 2017, 2017 29th Chinese Control And Decision Conference (CCDC).

[8]  Kaspar Althoefer,et al.  Control Design for Interval Type-2 Fuzzy Systems Under Imperfect Premise Matching , 2014, IEEE Transactions on Industrial Electronics.

[9]  Hak-Keung Lam,et al.  Stability Analysis of Interval Type-2 Fuzzy-Model-Based Control Systems , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  Hongjing Liang,et al.  Adaptive Fuzzy Event-Triggered Control for Stochastic Nonlinear Systems With Full State Constraints and Actuator Faults , 2019, IEEE Transactions on Fuzzy Systems.

[11]  S. A. Karthick,et al.  Dissipativity-based non-fragile sampled-data control design of interval type-2 fuzzy systems subject to random delays. , 2018, ISA transactions.

[12]  Yonggui Kao,et al.  Stability and Stabilization for Singular Switching Semi-Markovian Jump Systems With Generally Uncertain Transition Rates , 2018, IEEE Transactions on Automatic Control.

[13]  Hao Xu,et al.  Stabilization for networked control systems subject to actuator saturation and network-induced delays , 2017, Neurocomputing.

[14]  Peng Shi,et al.  Network-Based Robust Passive Control for Fuzzy Systems With Randomly Occurring Uncertainties , 2013, IEEE Transactions on Fuzzy Systems.

[15]  Ju H. Park,et al.  Event-Based Reliable Dissipative Filtering for T–S Fuzzy Systems With Asynchronous Constraints , 2018, IEEE Transactions on Fuzzy Systems.

[16]  Hak-Keung Lam,et al.  Stability Analysis and Performance Design for Fuzzy-Model-Based Control System Under Imperfect Premise Matching , 2009, IEEE Transactions on Fuzzy Systems.

[17]  Hongjing Liang,et al.  Adaptive Event-Triggered Output Feedback Fuzzy Control for Nonlinear Networked Systems With Packet Dropouts and Actuator Failure , 2019, IEEE Transactions on Fuzzy Systems.

[18]  Hak-Keung Lam,et al.  Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Huaguang Zhang,et al.  Guaranteed Cost Networked Control for T–S Fuzzy Systems With Time Delays , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[20]  Hak-Keung Lam,et al.  Observer-Based Fuzzy Control for Nonlinear Networked Systems Under Unmeasurable Premise Variables , 2016, IEEE Transactions on Fuzzy Systems.

[21]  Yong-Yan Cao,et al.  Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models , 2001, Fuzzy Sets Syst..

[22]  H. Lam,et al.  Sampled-data fuzzy controller for continuous nonlinear systems , 2008 .

[23]  Chen Peng,et al.  Communication-Delay-Distribution-Dependent Networked Control for a Class of T–S Fuzzy Systems , 2010, IEEE Transactions on Fuzzy Systems.

[24]  Jin-Hua She,et al.  New Results on $H_\infty$ Tracking Control Based on the T–S Fuzzy Model for Sampled-Data Networked Control System , 2015, IEEE Transactions on Fuzzy Systems.

[25]  Ahmad M. El-Nagar,et al.  Adaptive T-S fuzzy controller using reinforcement learning based on Lyapunov stability , 2018, J. Frankl. Inst..

[26]  Hao Shen,et al.  Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals , 2018, Studies in Systems, Decision and Control.

[27]  Hak-Keung Lam,et al.  Sampled-Data Fuzzy Controller for Time-Delay Nonlinear Systems: Fuzzy-Model-Based LMI Approach , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[28]  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.

[29]  Hamid Reza Karimi,et al.  Sampled-Data Control of Network Systems in Industrial Manufacturing , 2018, IEEE Transactions on Industrial Electronics.

[30]  Fang Wang,et al.  Adaptive Finite Time Control of Nonlinear Systems Under Time-Varying Actuator Failures , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[31]  Yonggui Kao,et al.  Exponential stability of switched Markovian jumping neutral-type systems with generally incomplete transition rates , 2018 .

[32]  Tshilidzi Marwala,et al.  A new T-S fuzzy model predictive control for nonlinear processes , 2017, Expert Syst. Appl..

[33]  Ju H. Park,et al.  New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[34]  Peng Shi,et al.  Control of Nonlinear Networked Systems With Packet Dropouts: Interval Type-2 Fuzzy Model-Based Approach , 2015, IEEE Transactions on Cybernetics.

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

[36]  Jianbin Qiu,et al.  A novel dropout compensation scheme for control of networked T-S fuzzy dynamic systems , 2014, Fuzzy Sets Syst..

[37]  Hak-Keung Lam,et al.  Stabilization of Interval Type-2 Polynomial-Fuzzy-Model-Based Control Systems , 2017, IEEE Transactions on Fuzzy Systems.

[38]  Yonggui Kao,et al.  A Novel Robust Fuzzy Integral Sliding Mode Control for Nonlinear Semi-Markovian Jump T–S Fuzzy Systems , 2018, IEEE Transactions on Fuzzy Systems.

[39]  Ligang Wu,et al.  Fuzzy Tracking Control for Nonlinear Networked Systems , 2017, IEEE Transactions on Cybernetics.

[40]  Hongjing Liang,et al.  Adaptive Event-Triggered Fault Detection Scheme for Semi-Markovian Jump Systems With Output Quantization , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[41]  Yong-Yan Cao,et al.  Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach , 2000, IEEE Trans. Fuzzy Syst..

[42]  Wenjian Cai,et al.  Robust model predictive control of discrete nonlinear systems with time delays and disturbances via T–S fuzzy approach , 2017 .

[43]  Songyi Dian,et al.  State Feedback Control for Interval Type-2 Fuzzy Systems With Time-Varying Delay and Unreliable Communication Links , 2018, IEEE Transactions on Fuzzy Systems.

[44]  Bor-Sen Chen,et al.  Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model , 2001, IEEE Trans. Fuzzy Syst..

[45]  Lakmal Seneviratne,et al.  Tracking control of sampled-data fuzzy-model-based control systems , 2009 .

[46]  Zhen Zhao,et al.  Interval type-2 fuzzy tracking control for nonlinear systems via sampled-data controller , 2019, Fuzzy Sets Syst..

[47]  Hak-Keung Lam,et al.  A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis , 2018, Eng. Appl. Artif. Intell..

[48]  Ahmad Akbari,et al.  T-S fuzzy controller design for stabilization of nonlinear networked control systems , 2016, Eng. Appl. Artif. Intell..