Novel approach to robust PI controller design with state derivative feedback for linear uncertain systems

The paper devoted is to the problem of develop robust PI controller design procedure for uncertain linear systems with state derivative feedback. The obtained continuous-time PI robust controller with output/state and state derivative feedback ensure the guaranteed cost and parameter dependent quadratic stability in frame of H2. The novel results are that the designed robust PI controller is used for stabilization of closed loop systems with the state derivative feedback. Due to new auxiliary matrices the design procedure gives less conservativeness results. Numerical example is given to illustrate the properties and effectiveness of the proposed method.