Stability and asymptotic performance analysis of a class of reset control systems

Bode's gain-phase relationship places a hard limitation on performance tradeoffs in linear, time-invariant feedback control systems. It has long been suggested that reset control has the potential to improve this situation. Experimental studies support this claim. The paper focuses on the analysis of such reset control systems which has been missing in this past work. Specifically, we give results on bounded-input bounded-output stability, asymptotic stability and steady-state performance. These results are applied to an experimental demonstration of reset control of a flexible mechanism.