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

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 L2-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 L2-gain, we reduce jumps of control input via an auxiliary optimization. Numerical examples are presented to illustrate the switched gain-scheduled controller.