Asynchronous hybrid systems with jumps -- analysis and synthesis methods

From HotDec

Dullerud, G. E. and S. Lall

Systems & Control Letters 37:2 Download (full-text)

Abstract

In this paper we show that the H[infinity] synthesis problem for a class of linear systems with asynchronous jumps can be reduced to a purely discrete-time synthesis problem. The system class considered includes continuous-time systems with discrete jumps, or discontinuities, in the state. New techniques are developed for the analysis of asynchronous time-varying hybrid systems which allow a particularly simple treatment, and provide an elementary proof for the sampled-data H[infinity] problem.

Author Keywords: Asynchronous hybrid systems; H synthesis; Continuous- and discrete-time systems