State Feedback Control For Linear Systems With Parameter Uncertainties

The model under which the controller was designed was usually different to the real plant, therefore, the modern control theory was hardly used to analyze and sunthesize a practical control system. The differences can be described as the model uncertainties. On the other hand, the existing robust control design method just considered the uncertainties of the system parameters, it did not consider the uncertainties of the controller gain. However, the uncertainties often appeared.Based on Lyapunov stability theory, through using linear matrix inequality and matrix analysis as the main mathematical tools, this dissertion studied the robust control problem of systems described by state space equation with norm-bounded time-varying parameter uncertainties.The major contribution of this dissertation were as follow:The problem of dynamic output feedback H₂ control problem for linear systems was concerned via linear matrix inequlity. The sufficient condition of H₂ controller for linear uncertain systems was also studied by the same method.Deals with the problem of robust and H_∞control via state feedback for linear systems with norm-bounded parameter uncertainties by means of linear matrix inequality.There was fluctuation in many net current capacities, especially vehicles current capacity and data current capacity, so that could be easily disturbed by many vectors and occurs to the fluctuation of current capacities. Applying control theory in stable current capacities and suppress current capacities had not been researched. Therefore, the above dynamic current capacity was concered through the establishment appropriate controlled plant dynamic model.