Gain‐Scheduled Control via Switching of LTI Controllers and State Reset

Abstract

This paper proposes a synthesis method of gain-scheduled control systems that switch linear time-invariant controllers according to hysteresis of the scheduling parameter. Stability and L 2 -gain analysis and synthesis methods for switched systems are applied to the switched gain-scheduled control synthesis using reset of the controller state, where also the reset law is computed via linear matrix inequalities (LMIs). In addition to optimization of an upper bound of L 2 -gain, we reduce jumps of control input via an auxiliary optimization. Numerical examples are presented to illustrate the switched gain-scheduled controller.