Robust H∞ Control of Generalized Continuous Systems and Simulation
For a class of uncertain generalized continuous linear systems with time-invariant norm-bounded parameter uncertainties, the state feedback robust H-infinity control hard problem was resolved. A sufficient condition for the solvability of the problem and the state feedback robust H-infinity feedback controller were obtained in terms of liner matrix inequalities. The result deepened the content of robust H∞ control theory, and it simplified some past methods. The designed controller not only guaranteed that the closed-loop systems was regular, causal, stable but also satisfied a prescribed H-infinity norm bounded constraint for all admissible uncertain parameters under some conditions. A real project simulation example was given to demonstrate the effectiveness of the proposed method.