H ∞ Controller Design for Asynchronous Hybrid Systems with Multiple Delays

Abstract EN

Solutions for the H∞ synthesis problems of asynchronous hybrid systems with input-output delays are proposed.

The continuous-time lifting approach of sampled-data systems is extended to a hybrid system with multiple delays, and some feasible formulas to calculate the operators of the equivalent discrete-time (DT) system are given.

Different from the existing methods derived from symplectic pair theory or by state augmentation, a Lyapunov-Krasovskii functional to solve the synthesis problem is explicitly constructed.

The delay-dependent stability conditions we obtained can be described in terms of nonstrict linear matrix inequalities (LMIs), which are much more convenient to be solved by LMI tools.