Analysis Of Robust Stability And Robust Stabilization For Time-varying Generalized Systems With Uncertain Parameters

An uncertain system model can approximate a physical engineering system very well. The design methods of the robust stabilization for perturbed systems can much meet the demand in practical cases. In this thesis, some robust control problems in generalized systems with time-varying uncertain parameters or singular perturbed terms are investigated.Firstly, this paper reviews the background about robust H_infinity control and robust stabilization in generalized uncertain systems.Secondly, this paper puts the emphasis on time-varying perturbed systems with uncertainties. The perturbed upper bound is proposed for ensuring the generalized system to be quadratic stable. Moreover, a law of the state feedback control is also obtained for robustly stabilizing the closed-loop perturbed systems. Numerical examples are given to illustrate the design procedures.Finally, the control topic on singular perturbed systems is investigated. In the known results, there are some limitations in application since they are only valid for systems without impulsive modes. However for singular perturbed systems with impulsive modes, there are not any effective methods so far. Motivated by this, this paper gives a solution to the above problem.