Less Conservative Robust Control of Polytopic Systems Part II:
Metaheuristic Design and Individual Gain-Shaping
Abstract
Owing to the bilinear nature of robust performance conditions, it
remains a challenge to effectively design a controller for parametric
systems. To overcome this difficulty, we establish a metaheuristic-based
design framework in this paper. This framework includes a simple
initialization method, detailed search flows, and the associated
objective functions for each step. In addition, this method can
individually and easily shape the gain characteristics of closed-loop
transfer functions, thus lowering the hurdle of control design for
complex and uncertain systems. The whole design procedure is validated
and illustrated through its application to a drivetrain bench. Numerous
trials show that on average a success rate of 70% is achieved in the
search for the controller.