Aperiodic Sampled-Data Sliding-Mode Control of Fuzzy Systems With Communication Delays Via the Event-Triggered Method

This paper studies the aperiodic sampled-data control for the sliding-mode control (SMC) scheme of fuzzy systems with communication-induced delays via the event-triggered method. In practice, it is impossible to update control in continuous manner; thus, an event-based control technique has become popular with the advantage that the control task is executed only if it is triggered by an event. In this paper, the event-based sliding-mode control (ESMC) is designed for each linear subsystem of the global fuzzy model first. Then, the conditions for “fuzzily” amalgamated ESMC are discussed to stabilize the global fuzzy model. This ensures that the SMC is executed only when necessary. Furthermore, the results are extended to the fuzzy systems with communication-induced delays. Finally, case studies are carried out to demonstrate the effectiveness of the derived results.

[1]  Zhigang Zeng,et al.  New Criteria of Passivity Analysis for Fuzzy Time-Delay Systems With Parameter Uncertainties , 2015, IEEE Transactions on Fuzzy Systems.

[2]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[3]  Zhong-Ping Jiang,et al.  A Distributed Control Approach to A Robust Output Regulation Problem for Multi-Agent Linear Systems , 2010, IEEE Transactions on Automatic Control.

[4]  Zidong Wang,et al.  Sampled-Data Synchronization Control of Dynamical Networks With Stochastic Sampling , 2012, IEEE Transactions on Automatic Control.

[5]  David J. Hill,et al.  Event-triggered asynchronous intermittent communication strategy for synchronization in complex dynamical networks , 2015, Neural Networks.

[6]  Jiangping Hu,et al.  Distributed tracking control of leader-follower multi-agent systems under noisy measurement , 2011, Autom..

[7]  Guanghong Yang,et al.  Robust adaptive fault‐tolerant tracking control of multiple time‐delays systems with mismatched parameter uncertainties and actuator failures , 2015 .

[8]  Zhigang Zeng,et al.  Lag Synchronization of Switched Neural Networks via Neural Activation Function and Applications in Image Encryption , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[9]  Tingwen Huang,et al.  Event-Triggering Sampling Based Leader-Following Consensus in Second-Order Multi-Agent Systems , 2015, IEEE Transactions on Automatic Control.

[10]  Jian-Xin Xu,et al.  Variable Structure Systems: Towards the 21st Century , 2002 .

[11]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[12]  Ligang Wu,et al.  Observer-based adaptive sliding mode control for nonlinear Markovian jump systems , 2016, Autom..

[13]  Yuanqing Xia,et al.  Design of Estimator-Based Sliding-Mode Output-Feedback Controllers for Discrete-Time Systems , 2014, IEEE Transactions on Industrial Electronics.

[14]  Wenwu Yu,et al.  Impulsive synchronization schemes of stochastic complex networks with switching topology: Average time approach , 2014, Neural Networks.

[15]  Zhankui Song,et al.  Adaptive backstepping sliding mode control with fuzzy monitoring strategy for a kind of mechanical system. , 2014, ISA transactions.

[16]  Hak-Keung Lam,et al.  Adaptive Sliding Mode Control for Interval Type-2 Fuzzy Systems , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[17]  Bijnan Bandyopadhyay,et al.  Event based robust stabilization of linear systems , 2014, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society.

[18]  Guoqiang Hu,et al.  Distributed ${\cal H}_{\infty}$ Consensus of Higher Order Multiagent Systems With Switching Topologies , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[19]  Luc Moreau,et al.  Stability of multiagent systems with time-dependent communication links , 2005, IEEE Transactions on Automatic Control.

[20]  Zhidong Teng,et al.  General impulsive control of chaotic systems based on a TS fuzzy model , 2011, Fuzzy Sets Syst..

[21]  Xinghuo Yu,et al.  Sliding-Mode Control With Soft Computing: A Survey , 2009, IEEE Transactions on Industrial Electronics.

[22]  Huijun Gao,et al.  Robust Sampled-Data $H_{\infty}$ Control for Vehicle Active Suspension Systems , 2010, IEEE Transactions on Control Systems Technology.

[23]  Yong Wang,et al.  Robust ${\mathscr H}_{\infty }$ Control of T–S Fuzzy Time-Delay Systems via a New Sliding-Mode Control Scheme , 2014, IEEE Transactions on Fuzzy Systems.

[24]  Dong Yue,et al.  Control Synthesis of Discrete-Time T–S Fuzzy Systems via a Multi-Instant Homogenous Polynomial Approach , 2016, IEEE Transactions on Cybernetics.

[25]  Ligang Wu,et al.  Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems , 2014 .

[26]  Huijun Gao,et al.  Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach , 2014, Autom..

[27]  Long Wang,et al.  Asynchronous consensus of continuous-time multi-agent systems with intermittent measurements , 2010, Int. J. Control.

[28]  Tingwen Huang,et al.  Leader-following exponential consensus of general linear multi-agent systems via event-triggered control with combinational measurements , 2015, Appl. Math. Lett..

[29]  Yeong-Hwa Chang,et al.  Fuzzy Sliding-Mode Formation Control for Multirobot Systems: Design and Implementation , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[30]  Guanghui Wen,et al.  Consensus Tracking of Multi-Agent Systems With Lipschitz-Type Node Dynamics and Switching Topologies , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[31]  Xinghuo Yu,et al.  Computer-Controlled Variable Structure Systems: The State-of-the-Art , 2012, IEEE Transactions on Industrial Informatics.

[32]  Man Sun,et al.  Robust H∞ Control of Time-Delay Systems , 2013 .

[33]  Zhigang Zeng,et al.  Event-Triggering Load Frequency Control for Multiarea Power Systems With Communication Delays , 2016, IEEE Transactions on Industrial Electronics.

[34]  Guang-Hong Yang,et al.  Fault Tolerant Controller Design for T–S Fuzzy Systems With Time-Varying Delay and Actuator Faults: A K-Step Fault-Estimation Approach , 2014, IEEE Transactions on Fuzzy Systems.

[35]  S. F. Pinto,et al.  Linear and Sliding-Mode Control Design for Matrix Converter-Based Unified Power Flow Controllers , 2014, IEEE Transactions on Power Electronics.

[36]  Shigenori Sano,et al.  Reduction of Electrical Energy Consumed by Feed-Drive Systems Using Sliding-Mode Control With a Nonlinear Sliding Surface , 2014, IEEE Transactions on Industrial Electronics.

[37]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[38]  Xian Zhang,et al.  Fuzzy-Model-Based ${{\cal D}}$-Stability and Nonfragile Control for Discrete-Time Descriptor Systems With Multiple Delays , 2014, IEEE Transactions on Fuzzy Systems.

[39]  C. Milosavljevic,et al.  Sampled Data Quasi-Sliding Mode Control Strategies , 2006, 2006 IEEE International Conference on Industrial Technology.

[40]  Xiaozhan Yang,et al.  Stability and Stabilization of Discrete-Time T–S Fuzzy Systems With Stochastic Perturbation and Time-Varying Delay , 2014, IEEE Transactions on Fuzzy Systems.

[41]  Zhihong Man,et al.  Design of fuzzy sliding-mode control systems , 1998, Fuzzy Sets Syst..

[42]  Xinghuo Yu,et al.  Chattering free full-order sliding-mode control , 2014, Autom..

[43]  Tingwen Huang,et al.  Pinning exponential synchronization of complex networks via event-triggered communication with combinational measurements , 2015, Neurocomputing.

[44]  Xiaozhan Yang,et al.  Dissipativity Analysis and Synthesis for Discrete-Time T–S Fuzzy Stochastic SystemsWith Time-Varying Delay , 2014, IEEE Transactions on Fuzzy Systems.

[45]  Gang Feng,et al.  Observer-Based Output Feedback Event-Triggered Control for Consensus of Multi-Agent Systems , 2014, IEEE Transactions on Industrial Electronics.