Trajectory tracking fault tolerant controller design for Takagi-Sugeno systems subject to actuator faults

Abstract

Abstract-This paper investigates the problem of fault tolerant control (FTC) design for nonlinear Takagi-Sugeno (T-S) models with measurable premise variables. The idea is to synthesize a fault tolerant controller ensuring state trajectory tracking. Based on Lyapunov theory, new less conservative approaches a r e proposed in term of Linear Matrix Inequality (LMI). A P I observer is needed to estimate simultaneously the faults and the faulty system states in order to reconfigure the FTC la w. A numerical example is considered to compare the conservatism of the proposed FTC approaches with the existing one and to illustrate the effectiveness of the FTC technique vs. the classical controller design methodology.

Fault‐tolerant control design for uncertain Takagi–Sugeno systems by trajectory tracking: a descriptor approach

“…, P k+3 , X 1 , X 2 ). It can be shown that the LMI (25) implies (31) for V(e) defined by (32). The mathematical details are given in the appendix.…”

“…Thus, the number of LMI conditions in the Theorem 1 is linear in the number of submodels denoted r, contrarily to most of the previously published works on state estimation or diagnosis for T-S systems where the number of LMI conditions is polynomial in r[18,30,[32][33][34].…”

Fault Tolerant Control for Uncertain Time-Delay Systems with a Trajectory Tracking Approach

“…Recently, there is also an active FTC approach based on trajectory tracking, developed to solve the FTC problem. This scheme is composed of faulty system, reference model, observer, and controller and its aim is to design a control law by considering actuator faults detected by observers and to make the faulty system states track the reference model states which are not effected by faults [17][18][19].…”

Fault tolerant tracking control for continuous Takagi-Sugeno systems with time varying faults

“…Nevertheless, the FTC design problem has been few treated. For example, the trajectory tracking FTC design for Takagi-Sugeno model subject to actuator constant fault has been developed by [17], when the premise variables are measurable and by [18] [19] when they are unmeasurable. In these studies, the estimation of the constant faults is obtained by using proportional integral observers.…”