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Control of continuous-time systems with discrete jumps

Published online by Cambridge University Press:  17 February 2009

Peng Shi
Peng Shi
Affiliation:
Centre for Industrial and Applicable Mathematics, School of Mathematics, The University of South Australia, The Levels Campus, Mawson Lakes, SA 5095, Australia
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Abstract

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In this paper, the design of output feedback controllers for linear systems under sampled measurements is investigated. The performance we use is the worst-case gain from disturbances to the controlled output, which comprises both a continuous-time and a discretetime signal to be controlled. Control problems in both the finite and infinite horizonare addressed. Necessary and sufficient conditions for the existence of a suitable sampled-data output feedback controller are given in terms of two Riccati differential equations with finite discrete jumps. A numerical example is given to show the potential of the proposed technique.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 1 , July 1999 , pp. 58 - 82
Copyright
Copyright © Australian Mathematical Society 1999

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