| In recent years, the design of many important systems are related to the dissi-pative theory. This theory is perceived from engineering practice. But in the processof the operating system, systems are often too complex and can not be accurate-ly expressed, there are quite a few affect the uncertainty of systems occurs, therefore, doesnot determine the robust dissipative control for the subject of generalized time-varyingsystems is of practical significance greatly. With the development and modernization of ourindustry, people become increasingly concerned about the security and reliability other thanthe high-speed and high-performance of the products.fault-tolerant control is a new way toimprove the security and reliability of the system. Therefore, the study of fault-tolerant controlfor uncertain singular time-varying systems has very important significance.The problem of dissipative of singular time-varying systems is considered. Baced on theLyapunov function theory and LMI approach, this thesis selects the suitable secondary emergysupply rate for singular time-varying systems and the purpose is defined dissipative to singulartime-varying systems. The problem of the dissipative control of singular time-varying systemsis considered. Baced on the Lyapunov function theory, LMI approach and Shur complementlemma, this thesis translates dissipative of singular time-varying systems into the solution ofLMI and gives the sufficient condition of robust stable and strictly dissipative for singulartime-varying systems and singular time-varying systems with uncertain respectively. Theproblem of fault tolerant of singular time-varying systems is considered. When it is no failure,the thesis give the state feedback controller for the robust control problem. And when thefailure occurs, the thesis investigates the problem of fault tolerant control of singulartime-varying systems in two conditions. One is that the failure is f (x), and the other one isthere exist fault switch matrixl iin the systems. And then giving the state feedback controllerby LMI and Riccatie quation, the perfect performance of controller can furthest maintaindemand performance and robustness. |