Parametric Lyapunov function approach to H/sub 2/ analysis and control of linear parameter-dependent systems

The problems of H/sub 2/ analysis and control synthesis for linear continuous-time parameter-dependent systems are addressed. The admissible values of the parameters and their rates of variation are assumed to belong to a given polytope. Linear matrix inequality-based methods of H/sub 2/ performance analysis and state feedback control are developed. Both the design of gainscheduled and robust controllers are addressed. The proposed methods have the feature that stability as well as the guaranteed H/sub 2/ performance cost are based on a parameter-dependent Lyapunov function which is quadratic on the system parameters. The controller implementation does not require online knowledge of the rate of variation of the parameters