The Robust Control Of Generalized Continuous Systems And Generalized Discrete Systems

During the past years a great deal of interest has been devoted to the study of generalized systems due to their applications in representing and resolving problems concerning many naturally occurring systems. A great number of results and notions in state-space systems have been extended to generalized systems. In the light of recent work in the theory of generalized systems and that of robust control for generalized systems, this dissertation provides a systematic study on the theory of robust control for generalized systems. Some new results of robust control for state-space systems have been extended to generalized systems.The main contents and results in this dissertation are as follows:1)The problems of robust control and robust H_∞control for generalized continuous systems are studied. A robust output feedback controller of generalized systems is derived via the notion of generalized quadratic stability and generalized quadratic stabilizability. We also develop a robust state feedback H_∞control design, which guarantees that for all admissible uncertainties the generalized system is stable, regular, impulse-free and satisfying H_∞norm constraint.2)The problems of robust control and robust H_∞control for generalized discrete systems are studied. A robust state feedback controller is derived via matrix inequalities. We also design a robust state feedback H_∞controllor, which guarantees that for all admissible uncertainties the generalized system is stable, regular, causal and satisfying H_∞norm constraint.3)Finally,some examples are given to illustrate the design procedures and the simulation results have shown the nice control or observation performance.