A Novel H∞ Output Feedback Controller Design for LPV Systems with a State-delay

A H∞ control for linear parameter-varying (LPV) systems with a parameter-varying state delay is described. A new parameter-dependent H∞ performance criterion is first established by the introduction of a slack variable, which exhibits a kind of decoupling between Lyapunov functions and system matrices. This kind of decoupling enables us to obtain a more easily tractable condition for analysis and synthesis problems. Then, the corresponding output feedback controller design is investigated upon this new performance criterion, with sufficient conditions obtained for the existence of admissible controllers in terms of parameterized linear matrix inequalities (PLMIs) and a non-convex constraint set. The cone complement linearization idea is employed to convert the controller design into a convex optimization problem. A numerical example is provided to illustrate the feasibility and advantage of the proposed controller design procedure. [Nature and Science, 2004,2(1):53-60].