Controller Design for Asynchronous Hybrid Systems with Multiple Delays

Xiaoqiang Sun and Weijie Mao

Mathematical Problems in Engineering, 2016, vol. 2016, 1-11

Abstract:

Solutions for the 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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2416193

DOI: 10.1155/2016/2416193

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