Finite-time stabilization of T-S fuzzy semi-Markov switching systems: A coupling memory sampled-data control approach

Abstract The present draft investigates the finite-time stabilization of T–S fuzzy semi-Markov switching systems by using a coupling memory sampled-data control approach. The main study concerned is how to effectively design the sampled-data control such that closed-loop T–S fuzzy semi-Markov switching systems is finite-time boundedness. By utilizing a Bernoulli distributed sequence, a more general coupling memory fuzzy sampled-data control strategy that involving time delay effect is derived. By virtue of fuzzy-basis-dependent membership functions, an asynchronous approach is proposed for T–S fuzzy semi-Markov switching system. Moreover, the inverted pendulum model is presented to demonstrate the feasibility and validity of the proposed strategies.

[1]  Yongduan Song,et al.  An Optimal Divisioning Technique to Stabilization Synthesis of T–S Fuzzy Delayed Systems , 2017, IEEE Transactions on Cybernetics.

[2]  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.

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

[4]  Zhengrong Xiang,et al.  Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers , 2016, Autom..

[5]  Huijun Gao,et al.  Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach , 2007, IEEE Transactions on Fuzzy Systems.

[6]  Jun Dong,et al.  Finite-Time Resilient Controller Design of a Class of Uncertain Nonlinear Systems With Time-Delays Under Asynchronous Switching , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[7]  Hamid Reza Karimi,et al.  Finite-Time Event-Triggered $\mathcal{H}_{\infty }$ Control for T–S Fuzzy Markov Jump Systems , 2018, IEEE Transactions on Fuzzy Systems.

[8]  Jian Guo,et al.  Stabilisation for positive switched T-S fuzzy delayed systems under standard L1 and L∞ performance , 2018, Int. J. Syst. Sci..

[9]  Guanghui Sun,et al.  Finite-time robust fuzzy control for non-linear Markov jump systems under aperiodic sampling and actuator constraints , 2017 .

[10]  Ligang Wu,et al.  Fault Detection for Underactuated Manipulators Modeled by Markovian Jump Systems , 2016, IEEE Transactions on Industrial Electronics.

[11]  Peng Shi,et al.  Adaptive Sliding-Mode Control of Markov Jump Nonlinear Systems With Actuator Faults , 2017, IEEE Transactions on Automatic Control.

[12]  Hisaya Fujioka,et al.  A Discrete-Time Approach to Stability Analysis of Systems With Aperiodic Sample-and-Hold Devices , 2009, IEEE Transactions on Automatic Control.

[13]  Ju H. Park,et al.  Reliable mixed H∞/passive control for T-S fuzzy delayed systems based on a semi-Markov jump model approach , 2017, Fuzzy Sets Syst..

[14]  Fei Li,et al.  Global analysis and numerical simulations of a novel stochastic eco-epidemiological model with time delay , 2018, Appl. Math. Comput..

[15]  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..

[16]  Yuan Yan Tang,et al.  Nonfragile asynchronous control for uncertain chaotic Lurie network systems with Bernoulli stochastic process , 2018 .

[17]  Tonghua Zhang,et al.  Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects , 2017 .

[18]  Shengyuan Xu,et al.  Slow State Variables Feedback Stabilization for Semi-Markov Jump Systems With Singular Perturbations , 2018, IEEE Transactions on Automatic Control.

[19]  Qing-Long Han,et al.  Network-Based Output Tracking Control for a Class of T-S Fuzzy Systems That Can Not Be Stabilized by Nondelayed Output Feedback Controllers , 2015, IEEE Transactions on Cybernetics.

[20]  Zhengrong Xiang,et al.  Finite‐time output tracking for a class of switched nonlinear systems , 2017 .

[21]  Wei Xing Zheng,et al.  Distributed ℋ∞ Filtering for a Class of Discrete-Time Markov Jump Lur'e Systems With Redundant Channels , 2016, IEEE Trans. Ind. Electron..

[22]  Shouming Zhong,et al.  Quantized Sampled-Data Control for Synchronization of Inertial Neural Networks With Heterogeneous Time-Varying Delays , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[23]  Ju H. Park,et al.  Further Results on Stabilization of Chaotic Systems Based on Fuzzy Memory Sampled-Data Control , 2018, IEEE Transactions on Fuzzy Systems.

[24]  Yuanqing Xia,et al.  SMC Design for Robust Stabilization of Nonlinear Markovian Jump Singular Systems , 2018, IEEE Transactions on Automatic Control.

[25]  Jinde Cao,et al.  Network-Based Quantized Control for Fuzzy Singularly Perturbed Semi-Markov Jump Systems and its Application , 2019, IEEE Transactions on Circuits and Systems I: Regular Papers.

[26]  Jun Cheng,et al.  Fuzzy model-based nonfragile control of switched discrete-time systems , 2018 .

[27]  Peng Shi,et al.  Passivity-Based Asynchronous Control for Markov Jump Systems , 2017, IEEE Transactions on Automatic Control.

[28]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[29]  Ju H. Park,et al.  Stability Analysis of Sampled-Data Systems via Free-Matrix-Based Time-Dependent Discontinuous Lyapunov Approach , 2017, IEEE Transactions on Automatic Control.

[30]  Patrizio Colaneri,et al.  Stability and Stabilization of Semi-Markov Jump Linear Systems With Exponentially Modulated Periodic Distributions of Sojourn Time , 2017, IEEE Transactions on Automatic Control.

[31]  R. Rakkiyappan,et al.  Synchronization of singular Markovian jumping complex networks with additive time-varying delays via pinning control , 2015, J. Frankl. Inst..

[32]  Zhengrong Xiang,et al.  Exponential stability analysis and L2-gain control synthesis for positive switched T–S fuzzy systems , 2018 .

[33]  Tonghua Zhang,et al.  Optimal harvesting of a competitive n-species stochastic model with delayed diffusions. , 2019, Mathematical biosciences and engineering : MBE.

[34]  Guanghui Wen,et al.  Discrete-Time Fast Terminal Sliding Mode Control for Permanent Magnet Linear Motor , 2018, IEEE Transactions on Industrial Electronics.

[35]  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.

[36]  Wenhai Qi,et al.  Observer-Based Adaptive SMC for Nonlinear Uncertain Singular Semi-Markov Jump Systems With Applications to DC Motor , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.