Fault-tolerant Control of Discrete-time Descriptor Systems using Virtual Actuators

Abstract

This paper proposes a fault-tolerant control (FTC) strategy based on virtual actuators for discrete-time descriptor systems subject to multiplicative and additive actuator faults. The goal of this FTC strategy is to reconfigure the closed-loop system by means of a virtual actuator that allows maintaining the use of the nominal controller without having to retune it. To achieve this goal, we define the structure of a dynamical virtual actuator for descriptor systems including multiplicative and additive actuator faults. In order to use a state-feedback controller for implementing the FTC strategy, a state observer for descriptor systems is also defined. Under the proposed FTC scheme, the separation principle of the virtual actuator, the nominal closed-loop system and the state observer is established. Therefore, all the gains can be designed separately. Finally, a numerical example is provided to show the effectiveness of the proposed FTC strategy.

A Fuzzy Virtual Actuator for Automated Guided Vehicles

“…[ 37 , 38 ]; they underline that a virtual actuator is a fault hiding technique that intends to reconfigure the faulty plant instead of the controller. Current works also investigate virtual actuators for the fault-tolerant control of discrete-time descriptor systems [ 39 ], adaptive virtual actuators for the fault-tolerant control of linear systems [ 40 ] and actuator fault-tolerant control, which is based on probabilistic ultimate bounds [ 41 ]. Several research groups investigate the application of fuzzy logic for fault-tolerant control.…”

Advances in State Estimation, Diagnosis and Control of Complex Systems

“…Based on the presented separation principle, the gains of VA, VS, descriptor observer and delayed controller can be designed independently. The preliminary result of this contribution has been reported in[155].252 Chapter 9 : Fault-tolerant Control of Discrete-time Descriptor Systems using Virtual Actuator and Virtual Sensor 9…”