Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Prediction Based Control: Implementation Issue

Author(s):

Vladimir Kharitonov

St. Petersburg State University,
faculty of Applied Mathematics and Control Processes
D.Sc., Professor of Department of Control Theory

khar@apmath.spbu.ru

Abstract:

The problem of design of dynamic controllers for systems with delay in the state and control variables is studied. Prediction-based controllers are described by integral equations. It is known that in such equations the replacing integrals by finite sums leads to instability of the closed-loop system when integral equations are not internally stable. To avoid this technical defficulty we suggest to apply additional filters. This provides a new class of dynamic controllers described by integro-differential equations. It is shown that the closed-loop system with a controller from the new class remains exponentially stable when integral terms are approximated by finite sums.

Keywords

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