Robust Stabillization And Robust Fault-tolerant Control Of Descriptor Systems With Uncertainties

The reliability and security is the key to operate normally for control systems.Fault-tolerant control pioneers a new way to enhance the reliability and the security of complicated systems.Besides,the uncertain parameter is inevitable in practical systems.Without considering of the uncertainty of the control system may be difficult to obtain the ideal actual results,and may even cause the collapse of the systems.Therefore,the combination of the above two areas based on the generalized system as a natural extension of the normal system and extensive practical background,and the study of the fault-tolerant control for uncertain generalized systems is not only theoretical significance but also broad prospects for the practical engineering.In this paper,a detailed analysis of the current situation of study on fault-tolerant control for descriptor systems and a discussion about the problems of fault-tolerant for descriptor systems are stressed.The main contents of this paper are as follows:Firstly,for the descriptor systems with uncertainties in all system matrices,and for the two different structures of derivative,based on Lyapunov function approach,and linear matrix inequalities approach,we propose sufficient conditions for the first structure and sufficient and necessary conditions for the second structure respectively.Secondly,based on linear matrix inequalities approach,the purpose is to design a state feedback controller for the two different structures of derivative respectively to make the closed-loop systems is regular,no pulse and stable for the uncertainty.Then,numerical examples are given to illustrate the effectiveness of the condition.Finally,for the descriptor systems with uncertainties in all system matrices,when the senor of systems failure,the purpose is to design a fault-tolerant state feedback controller for the two different structures of derivative respectively to make the closed-loop systems is regular,no pulse and stable for the uncertainty.Then,numerical examples are given to illustrate the effectiveness of the condition.