Stabilization And Research Of Adaptive Control Problems Of General Nonlinear Systems

The stabilization problem of nonlinear systems has been one of the very important subjects in the field of nonlinear control all along. This paper mainly studies the stabilization problem of general nonlinear systems including the stabilization problem of general nonlinear systems with stable free dynamics ,the robust adaptive control problem of general nonlinear systems and the robust adaptive control problem of general nonlinear time-delay systems.For the stabilization problem of general nonlinear systems with stable free dynamics and a class of general nonlinear systems satisfying growth conditions ,we design a smooth state feedback control law which stabilizes the systems .And this paper will expand the finite analytic systems discussed by the relating literature to the infinite analytic systems,moreover accordingly design a Luenberger-observer-like based on the output feedback control law.When discussing the robust adaptive control problem of general nonlinear systems, for structural uncertainty including an unknown parameter 6 and an unknown nonlinear function and on the condition that we don't known the upper-bound of the parameter,we estimate 9 on the line and design an adaptive controller .We develop a new design method. This kind of design method can be extended to nonlinear time-delay systems.In dealing with the adaptive control problem of general nonlinear time-delay systems,we design an adaptive controller based on the famous Razumikhin condition.