Stable and Real-Time Scheduling of a Class of Hybrid DynamicSystems

Authors:
Qian Chuan Zhao;Da Zhong Zheng
Affiliations:
Department of Automation, Tsinghua University, Beijing 100084, People‘s Republic of China;Department of Automation, Tsinghua University, Beijing 100084, People‘s Republic of China
Venue:
Discrete Event Dynamic Systems
Year:
1999

Citing 2
Cited 2

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Abstract

Based on somepractical engineering problems arising from process control andspace-structure control, this paper studies a class of hybriddynamic systems in which N plants are controlled by a centralcontroller in sharing time manner, where the plants are describedby differential equations and the controller works accordingto the mechanism of discrete events. An event feedback strategyis suggested to be a scheduling policy such that one and onlyone plant among N plants is chosen to be controlled at any time.Some conditions of asymptotical and exponential stability arethen given and an exponential upper bound of state‘s norm isalso estimated for the event feedback scheduling strategy. Analgorithm based on event feedback strategy is presented to determinethe control laws of the plants to meet the given performance.An example follows to illustrate the application and effect ofthe results.