NDLI: Fault-tolerant SMC for Takagi–Sugeno fuzzy systems with time-varying delay and actuator saturation

Content Provider	IET Digital Library
Author	Selvaraj, Palanisamy Kaviarasan, Boomipalagan Sakthivel, Rathinasamy Karimi, Hamid Reza
Abstract	This study examines the problem of fault-tolerant sliding mode control (SMC) design subject to actuator saturation for a class of Takagi–Sugeno fuzzy systems with time-varying delay and external disturbances. Our main attention is to propose the fault-tolerant SMC such that for given any initial condition, the system trajectories are forced to reach the sliding surface within a finite time. On the basis of the SM surface and Lyapunov stability theorem, a new set of sufficient conditions in terms of linear matrix inequalities (LMIs) is established to not only guarantee the passivity and asymptotically stability of the resulting closed-loop system in the designed sliding surface, but also cover the issues of actuator saturation and performance constraints. Then, the desired gain matrix of the fault-tolerant SMC is obtained in respect of the previously established LMIs such that the reachability of the predefined sliding surface is ensured. It is worth pointing out that the obtained sufficient conditions can preserve the trade-off between the maximisation of admissible upper bound of time-varying delay and enlarging the estimation about the domain of attraction for the closed-loop system. Eventually, the effectiveness and robustness of the proposed control approach are demonstrated via simulation results.
Starting Page	1112
Ending Page	1123
Page Count	12
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 8, May (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0845
Journal	IET Control Theory & Applications
Publisher Date	2017-01-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Actuating And Final Control Device Actuator Fault Matrix Actuator Saturation Actuators Algebra Asymptotic Stability Closed Loop System Closed-loop System Combinatorial Mathematics Control System Analysis Control System Synthesis Delay System Distributed Parameter Control System External Disturbances Fault Tolerant Control Fault-tolerant Sliding Mode Control Design Fault-tolerant SMC Fuzzy Control Fuzzy System Gain Matrix Linear Matrix Inequalities LMI Lyapunov Method Lyapunov Stability Multivariable Control System Passivity Performance Constraint Reachability Analysis Sliding Surface Function Sliding Surface Reachability SM Surface Stability in Control Theory Sufficient Condition Synthesis Method System Trajectories Takagi-Sugeno Fuzzy System Time Varying Control System Time Varying System Time-varying Delay Variable Structure System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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