Gain-scheduled controller design: An analytic framework directly incorporating non-equilibrium plant dynamics

Abstract

In this paper, a velocity-based linearisation framework is employed to develop a novel rigorous approach to gain-scheduling design. The proposed approach enables knowledge concerning the plant dynamics at non-equilibrium operating points to be incorporated directly into the controller design. Since the velocity-based linearisation framework supports the analysis of the transient response, performance considerations can be accommodated. The approach retains continuity with linear methods, which is central to the existing conventional gain-scheduling methodology, and, since a single type of linearisation is employed throughout, the design procedure is both straightforward and conceptually appealing.