Fuzzy-Model-Based Fault-Tolerant Design for Nonlinear Stochastic Systems Against Simultaneous Sensor and Actuator Faults

2013 ◽  
Vol 21 (5) ◽  
pp. 789-799 ◽  
Author(s):  
Ming Liu ◽  
Xibin Cao ◽  
Peng Shi
Keyword(s):  
Stochastic Systems ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Actuator Faults ◽  
Nonlinear Stochastic Systems ◽  
Model Based ◽  
Fault Tolerant Design

Robust Fault-Tolerant Control for a Class of Nonlinear Stochastic Systems With Variance Constraints

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
Lifeng Ma ◽  
Zidong Wang ◽  
Yuming Bo ◽  
Zhi Guo
Keyword(s):  
Design Problem ◽  
Stochastic Systems ◽  
Controller Design ◽  
Fault Tolerant ◽  
Linear Matrix ◽  
Actuator Faults ◽  
Nonlinear Stochastic Systems ◽  
Single Degree Of Freedom ◽  
Actuator Failures ◽  
Special Cases

This paper is concerned with the variance-constrained controller design problem for a class of uncertain nonlinear stochastic systems with possible actuator faults. The stochastic nonlinearities described by statistical means are quite general that include several well-studied classes of nonlinearities as special cases. A model of actuator failures is adopted, which is more practical than the traditional outage one. A linear matrix inequality (LMI) approach is proposed to solve the multiobjective fault-tolerant controller design problem, where both the exponential stability and the steady-state state variance indices are simultaneously guaranteed. Within the developed LMI framework, a sufficient condition for the solvability of the robust control problem is obtained. The explicit expression of the desired controllers is also parameterized and a single degree-of-freedom model is used to demonstrate the effectiveness and applicability of the proposed design approach.

Active fault tolerant control design for stochastic Interval Type-2 Takagi-Sugeno fuzzy model

2018 ◽  
Vol 11 (3) ◽  
pp. 404-422
Author(s):  
Imen Maalej ◽  
Donia Ben Halima Abid ◽  
Chokri Rekik
Keyword(s):  
Nonlinear System ◽  
Fault Tolerant ◽  
Fuzzy Model ◽  
Tracking Performance ◽  
Actuator Faults ◽  
Content Type ◽  
Ts Fuzzy Model ◽  
Interval Type ◽  
Takagi Sugeno

PurposeThe purpose of this paper is to look at the problem of fault tolerant control (FTC) for discrete time nonlinear system described by Interval Type-2 Takagi–Sugeno (IT2 TS) fuzzy model subjected to stochastic noise and actuator faults.Design/methodology/approachAn IT2 fuzzy augmented state observer is first developed to estimate simultaneously the system states and the actuator faults since this estimation is required for the design of the FTC control law. Furthermore, based on the information of the states and the faults estimate, an IT2 fuzzy state feedback controller is conceived to compensate for the faults effect and to ensure a good tracking performance between the healthy system and the faulty one. Sufficient conditions for the existence of the IT2 fuzzy controller and the IT2 fuzzy observer are given in terms of linear matrix inequalities which can be solved using a two-step computing procedure.FindingsThe paper opted for simulation results which are applied to the three-tank system. These results are presented to illustrate the effectiveness of the proposed FTC strategy.Originality/valueIn this paper, the problem of active FTC design for noisy and faulty nonlinear system represented by IT2 TS fuzzy model is treated. The developed IT2 fuzzy fault tolerant controller is designed such that it can guarantee the stability of the closed-loop system. Moreover, the proposed controller allows to accommodate for faults, presents a satisfactory state tracking performance and outperforms the traditional type-1 fuzzy fault tolerant controller.

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