Observer-based fault-tolerant control for a class of hybrid impulsive systems (original) (raw)
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Fault tolerant control for a class of hybrid impulsive systems
2008
This paper investigates the fault tolerant control (FTC) problem for a class of hybrid nonlinear impulsive systems. Two kinds of faults are considered: continuous faults that affect each mode, and discrete faults that affect the impulsive switching. The FTC strategy is based on the tradeoff between the frequency of switching and the decreasing rate of Lyapunov functions along the solution of the system, which maintains the stability of overall hybrid impulsive systems in spite of these two kinds of faults. A numerical example is given to illustrate the design procedure. Index Terms-Hybrid impulsive systems, fault tolerant control, observer, average dwell time.
Fault-tolerant control for a class of hybrid systems with uncontrollable switching
International Journal of Systems Science, 2009
This article focuses on the fault-tolerant control (FTC) problem for a class of hybrid systems modelled by hybrid automata. An observer-based FTC framework is proposed for the hybrid system with uncontrollable statedependent switching and without full continuous state measurements. Two kinds of faults are considered: continuous faults that affect each mode and discrete faults that affect the mode transition. Sufficient conditions are given such that the hybrid system can be stabilised in the sense of LaSalle invariance principle. Simulation results of example of CPU processing control show the efficiency of the proposed method.
This paper investigates the fault tolerant control (FTC) problem for a class of hybrid nonlinear systems with uncontrollable state dependent switching, parametric uncertainties and without full continuous state measurements. Two kinds of faults are considered: Continuous faults that affect each mode; Discrete faults that affect the mode transition. A novel observer is designed for each mode whose estimation error is not affected by continuous faults and sensitive to mode transitions, then, an observer-based fault tolerant tracking controller, together with switching detection and model identification schemes, is proposed such that the outputs of the hybrid system asymptotically track the reference signals and the continuous states are bounded. A Three Tank system is taken as an example to show the efficiency of the proposed method. (B. Jiang),
Results and perspectives on fault tolerant control for a class of hybrid systems
International Journal of Control, 2011
This article addresses the fault tolerant control (FTC) issue for a class of hybrid systems (HS) modelled by hybrid automata. Two kinds of faults are considered: continuous fault that affects each continuous system mode; discrete fault that affects the switching conditions. In these two faulty cases, the FTC design has two main objectives: (1) maintain the continuous performances including various stabilities of the origin and the output tracking/regulation behaviours along the trajectories of HS; (2) maintain the discrete specifications that have to be followed by HS, e.g. a desired switching sequence. The following three FTC methodologies are considered: FTC for HS with continuous stability goal; FTC for HS with discrete specifications; supervisory FTC design via hybrid control techniques. Some perspectives are also provided. This article provides the readers a survey on the main techniques that can be used to achieve these FTC goals of HS.
Fault tolerant control in hybrid systems: A brief survey
2009
This paper addresses the fault tolerant control (FTC) issue of hybrid systems. Two kinds of faults are considered: Continuous fault that affects each continuous system mode; Discrete fault that affects the switching condition. The paper surveys the major results in two aspects: FTC for hybrid systems with continuous stability goal; FTC for hybrid systems with discrete specifications. The motivation of this paper is to provide the readers a better understanding on how to achieve FTC goal in hybrid systems.
Robust fault tolerant tracking control with application to hybrid nonlinear systems
Iet Control Theory and Applications, 2009
In this paper, a class of nonlinear systems with faults, parametric uncertainties and without full state measurements are considered. A novel observer is designed whose estimation error is not affected by faults, and an observer-based fault tolerant tracking controller is proposed to make the outputs asymptotically track the reference signals while the states are bounded. The proposed FTC method can help to provide a switching detection scheme and a family of Lyapunov functions for a class of hybrid nonlinear systems with uncontrollable switchings, and to guarantee the global tracking performance. A three-tank system is taken as an example to show the efficiency of the proposed method.
A Fault Tolerant Control for Sensor and Actuator Failures of an Non Linear Hybrid System
International Journal of Electrical and Computer Engineering (IJECE), 2018
We focused in this work on a fault tolerant control of a non linear hybrid system class based on diagnosis method (determine and locate the defects and their types) and on the faults reconfiguration method. In literature we can found many important research activities over the fault-tolerant control of non linear systems and linear Hybrid systems. But it dosen´t exist too many for the non linear hybrid system. The main idea in this paper is to consider a new approach to improve the reconfiguration performance of the non linear hybrid system by using hammerstein method which is designed to works only for linear systems. This method compensated the effect of the faults and guarantees the closed-loop system stable. The proposed method is simulated with a hydraulic system of two tanks with 4 modes
A Fault Tolerant Control for Sensor and Actuator Failures of a Non Linear Hybrid System
International Journal of Electrical and Computer Engineering (IJECE), 2018
We focused in this work on a fault tolerant control of a non linear hybrid system class based on diagnosis method (determine and locate the defects and their types) and on the faults reconfiguration method. In literature we can found many important research activities over the fault-tolerant control of non linear systems and linear Hybrid systems. But it dosen´t exist too many for the non linear hybrid system. The main idea in this paper is to consider a new approach to improve the reconfiguration performance of the non linear hybrid system by using hammerstein method which is designed to works only for linear systems. This method compensated the effect of the faults and guarantees the closed-loop system stable. The proposed method is simulated with a hydraulic system of two tanks with 4 modes Keyword: Active Fault Tolerant Control Actuator Hammerstein method. Hybrid Systems Reconfiguration Sensor
A fault tolerant control framework for periodic switched non-linear systems
International Journal of Control, 2009
An observer-based fault tolerant control (FTC) framework is proposed for a class of periodic switched nonlinear systems (PSNS) without full state measurements. Two kinds of faults are considered: Continuous faults that affect each mode during its dwell period; Discrete faults that affect the switching sequence. Under the average dwell time scheme, the proposed FTC framework can maintain the stability of overall PSNS in spite of these two kinds of faults. A switched reluctance motor example is taken to illustrate the efficiency of the proposed method.
A unified approach for stability analysis of impulsive hybrid systems
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 1999
In this paper, we present a unified approach for the stability analysis of impulsive hybrid systems. The approach is composed of two key steps. The first step is to group a group of modes of the hybrid system together with the corresponding intervals and reset maps as units. This can be done by analyzing the discrete property of an impulsive hybrid system. The second step is to find an operation to combine each unit together. We shall show that the system is stable if the Lyapunov function is non-increasing along each unit of the system. In particular, we use the approach to analyze the stability of impulsive differential systems, sampled-data control systems and impulsive switched systems.