Reliability Analysis For Linear Systems With Mixed Fault Model

The failure which may be caused by the control components (actuators and sensors) should be taken into consideration during the process of designing the controller, which is called Reliable Control. The purpose of reliable control is to design a controller for closed-loop system, which can maintain stable and be able to meet certain performance indicators without considering the failure of the control components.In fact, the fault model of some systems not only a single discrete fault model but also a single continuous fault model, that is, the system often contains both discrete and continuous fault model at the same time, even the failure of a certain part of the system is not allowed sometimes; The method that this article applied is to design a model of a mixed fault which includes the discrete model and the continuous fault model. This mixed fault model is based on both the discrete fault model proposed by Veillette and the continuous fault model created by Yang, integrating them effectively; in order to minimum the conservation during the process of designing a reliable controller.This paper studies the reliable control for the linear systems with mixed fault model,which bases on the Lyapunov second method and Placement of disk pole method,and also uses linear matrix inequalities (LMI) technology, In the first chapter of this paper, a brief introduction of the reliable control, the Placement of disk pole method and linear matrix inequality research results at home and abroad, as well as the main work of this paper are illustrated.In the second chapter, introduced the paper will be use some of the basic concepts and basic theory.In the third chapter, the discrete fault model which is originally by Veillette and the continuous fault model which which is originally by Guang-Hong Yang are studed and introduced,within which a new model of actuator failure together with the reliable control problem formulation is given.Basing on both of the discrete fault model and the continuous fault model, the mixed fault model is designed.In the forth chapter, the reliable design problem of mixed fault model with actuator failure for linear systems and the linear uncertain systems are discussed.A reliable controller design method is presented by using the mixed fault model which is designed in chapter three.Mixed fault model is a more practical and more general model of actuator failure. A simulation example shows the efficiency in a system. In the fifth chapter, the reliable circular disk pole placement design problem of mixed fault model with actuator faiure for linear systems and the linear uncertain systems are discussed. Then a reliable controller design method is presented in this chapter, and, a simulation example is given to illustrate the efficiency of the proposed approach.Under the discussion above, first we correspond to the nominal system model analysis approach, then explore the various chapters of making a sufficient condition for the reliable control based on this research model. Simulation examples appear in each chapter in order to indicate that the results presented in this paper are effective and less conservative than some existing results.At last, this paper is summarized and some expectations of the mixed fault model are given.