Abstract
One of the major difficulties in stability analysis of reset systems comes from uncertain reset time instants due to uncertain parameters. For instance, consider the case when a reset action is triggered whenever the tracking error crosses zero. If there are uncertain (constant or time-varying) parameters in the output matrix of a plant, then the time instants of zero-crossings also become uncertain. In practice, a well-designed reset control system (RCS) should be expected to be robust with respect to such uncertainty. This chapter is devoted to robust stability of RCSs with uncertainties in output matrices. The focus will be on single-output systems. Two kinds of uncertainties will be discussed. The first kind is bounded uncertain time-varying parameters and the second kind is uncertain constant parameters. Robust stability of RCSs with time-delay will also be discussed.
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