Observer-Based Fuzzy Fault-Tolerant Control for Nonlinear Parabolic PDEs

Abstract

This paper investigates fault-tolerant control design for a class of nonlinear parabolic distributed parameter systems (DPSs) with actuator faults. Under the averaged measurements, an observer-based fuzzy fault-tolerant control law is constructed. Sufficient conditions in terms of bilinear matrix inequalities conditions are derived to ensure internal exponential stability and disturbance attenuation performance of system simultaneously by using Lyapunov–Krasovskii method. An iterative optimization algorithm is proposed to find feasible solutions. An example is given to illustrate the efficiency of main results.