A New Approach to Observer-Based Fault-Tolerant Controller Design for Takagi-Sugeno Fuzzy Systems with State Delay

Abstract

This paper deals with the problem of active fault-tolerant control (FTC) for time-delay Takagi-Sugeno (T-S) fuzzy systems based on a fuzzy adaptive fault diagnosis observer (AFDO). A novel fuzzy fast adaptive fault estimation (FAFE) algorithm for T-S fuzzy models is proposed to enhance the performance of fault estimation, and sufficient conditions for the existence of the fault estimator are given in terms of linear matrix inequalities (LMIs). Using the obtained on-line fault estimation information, an observer-based fast active fault-tolerant controller is designed to compensate for the effect of faults by stabilizing the closed-loop system. Simulation results of a track trail system and a nonlinear numerical example are presented to illustrate the effectiveness of the proposed method.

Robust dynamic output feedback fault-tolerant control for Takagi-Sugeno fuzzy systems with interval time-varying delay via improved delay partitioning approach

“…For any scalar Á > 0, by the Schur complement theorem and the fact .ÁR P /R 1 .ÁR P / that PR 1 P Ä 2ÁP C Á 2 R, we can conclude that (26) holds if the following inequality hold:…”

“…To constrain the effect of input disturbance from P f .t /, different from the existing fault estimation observer design result in [14,21,26,27], [30,31], the information of f n 1 .t / is considered in the design scheme of fault estimation observer (4), in which P f .t / is converted to P f .t / P f n 1 .t /. Since O f n 1 .t / is the estimate of f .t/, then -O f n 1 .t / can increasingly weaken the effect intensity of input disturbance from P f .t / in the error dynamics.…”

Stabilization of nonlinear systems subject to uncertainties and actuator saturation

“…According to Lyapunov theory [10], it means that x(t) is uniformly bounded and converges to an origin-centred ball of radius δ ε . Since Q i jk < 0 is ensured by (25), the objective is now to minimize the radius δ ε .…”

HVAC Model Based Fault Detection by Incremental Online Support Vector Machine

“…Model-based techniques either use mathematical model or a knowledge model to detect and isolate the faulty modes. These techniques include but not limited to observer-based approach [5], parity-space approach [6], and parameter identification based methods [7]. Henao [8] reviewed fault detection based on signal processing.…”