Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems

Abstract

This article investigates the design of a descriptor observer (DO)-based sensor and actuator fault (SAF) tolerant tracking control for linear parameter varying (LPV) systems with LPV outputs and disturbed by unknown inputs. The fault tolerant tracking control closed loop system is made of: a DO, a proportional integral derivative (PID) AF tolerant tracking controller, and a sensor fault compensation block. The proposed approach gives a solution to the tracking control problem for this class of systems where the observer and the controller gain matrices can be obtained by solving an optimization problem. The main advantages of this approach with regard to previous approaches are getting around a critical situation which is that the studied LPV system is subject to SAFs simultaneously and unknown inputs, with less conservative results and improving trajectory tracking performances especially in terms of accuracy and rapidity. The performances of the proposed approach are compared to a previous study through a numerical example which is carried out on an hydraulic system.

Observer‐based sliding mode fault tolerant control for nonlinear descriptor systems

“…• The proposed method only needs the condition that the norm of the derivative of fault is bounded, and does not need the norm bounded conditions of the fault [20][21][22][23]33 and its second derivative. 33 In order to get S E and G E satisfying det(S E F) ≠ 0 and…”

A sufficient condition to design unknown input observers for nonlinear systems with arbitrary relative degree

“…This context motivates the design of observers that are able to estimate simultaneously the system states and uncertainties. In this sense, the reconstruction of disturbances plays an important role to support, for example, secure estimation, 1 fault diagnosis, 2 and fault‐tolerant control 3 strategies. However, while the disturbance estimation problem is well addressed for linear systems under usual conditions, such as unitary relative degree, the literature is still incipient for nonlinear systems with arbitrary relative degree.…”

Mixed H2/H∞ model reference control of linear parameter‐varying discrete‐time systems with real‐time application to aeropendulum system

“…An $$$ {H}_{\infty } $$$ decentralized observer‐based output‐feedback MRC method 12 is applied to LTI systems with bounded interconnected nonlinearity. The design of a filtering adaptive neural network controller 4,13 is applied to Lipschitz nonlinear systems to guarantee the closed‐loop system stability, robustness and tracking performance of the reference model outputs.…”

“…In addition to that, a switched LPV MRC system is devised using mode‐dependent average dwell time and multiple Lyapunov techniques 18 with the aim of obtaining the desired $$$ {H}_{\infty } $$$ performance. A proportional integral derivative fault‐tolerant controller 13 is designed for LPV systems to guarantee the stability, robustness against actuator faults and tracking error performance.…”