Article ID Journal Published Year Pages File Type
1713494 Nonlinear Analysis: Hybrid Systems 2014 14 Pages PDF
Abstract

This paper investigates first the stability and L2L2-gain problems for a class of linear hybrid control systems with state-triggered jumps by using an extended Lyapunov-like function (ELF) technique. The obtained results are then applied to facilitate the joint design of a hybrid controller (linear controller plus reset law) for a continuous-time linear time-invariant (LTI) plant. The hybrid H∞H∞ synthesis conditions are expressed in linear matrix inequalities (LMIs) with two line search parameters. An inverted pendulum example is used to illustrate the effectiveness of the proposed approach.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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