Adaptive actuator failure compensation design for unknown chaotic multi‐input systems

Abstract

In this paper, an adaptive control approach is designed for compensating the faults in the actuators of chaotic systems and maintaining the acceptable system stability. We propose a state-feedback model reference adaptive control scheme for unknown chaotic multi-input systems. Only the dimensions of the chaotic systems are required to be known. Based on Lyapunov stability theory, new adaptive control laws are synthesized to accommodate actuator failures and system nonlinearities. An illustrative example is studied. The simulation results show the effectiveness of the design method.

Tracking consensus for stochastic hybrid multi‐agent systems with partly unknown transition rates via sliding mode control

“…Fruitful results have been reported to tackle these problems. [15,[34][35][36] addressed the faulttolerant control problems, where in [36], a robust fault-tolerant controller with SMC scheme for uncertain non-linear systems was designed. Besides, time-varying delays and input saturation were considered in [37,38].…”

Disturbance observer‐based distributed sliding mode control of multimotor web‐winding systems

“…Therefore, future work involves designing controllers when considering some parameters of the system are not available. On the other hand, faults and delays inevitably exist in almost all practical application systems because of the complicated working environment [37][38][39][40], it is significant to study the fault diagnosis and fault tolerant control of the systems. Therefore, coordinated fault tolerant control of web-winding systems is the focus of next future work.…”

Sinusoidal disturbance rejection in chaotic planar oscillators

“…as functions only of the time derivatives of the control input and of the output, is given. Such a formula is obtained by computing the time derivatives of the input-output representation (5). By rewriting these equations in a polynomial form, techniques taken from algebraic geometry (namely, the Elimination Theorem [24]) are used to compute expressions of the parameters a and !.…”

“…In recent years, the interest in control design techniques for chaotic systems has increased [1][2][3][4][5].…”