Adaptive Discrete LQ Controller for a Set of Models

J. Böhm (Czech Republic)

Keywords

Simultaneous control, adaptive control, linear-quadraticcontrol

Abstract

The paper deals with the problem of a controler synthesis for a plant described by a set of models. This task reminds the case of a simultaneous control of a set of plants. In prac tical situation such a case occurs when a single plant must be described by a set of linear models representing several different working modes of the plant. The aim is to develop a practical method for the design of a single feedback con troller that gives satisfactory closed loop behaviour with all considered models. The problem is formulated for dis crete time case. The solution is obtained as an extension of a standard LQ approach used in adaptive and predictive controllers. Described approach can be used to extend the robustness of the designed controller and help in situations when a real plant is nonlinear or there may occur abrupt changes in its parameters.

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