A finite frequency domain approach to robust and parameter dependent PID controller design for LPV systems

This paper deals with the robust and parameter-dependent PID controller design problem in finite frequency domain for linear parameter varying (LPV) systems with bounded disturbances. To reduce the design conservatism, three finite frequency domain performance criteria with parameter-dependent PID controller design are presented to measure the sensitivity reduction and the stability margin and the disturbances robustness in various frequency ranges. With the aid of the newly developed linearization techniques, the design methods are presented in terms of solutions to a set of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed methods.