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Multiple Objective Approach to Adaptive Control of Linear Systems
Conference proceeding

Multiple Objective Approach to Adaptive Control of Linear Systems

Ilan Rusnak, Allon Guez, Izhak Bar-Kana and AMER AUTOMAT CONTROL COUNCIL
1993 American Control Conference, pp 1101-1105
Jun 1993
DOI: https://doi.org/10.23919/ACC.1993.4793036

Abstract

Adaptive control Aircraft Control systems Cost function Employment Linear systems Optimal control Performance analysis Process control Programmable control
This paper applies a new approach to the classical adaptive control problem. The approach is based on the inherent conflict between control and identification as they are competing for the only available resource, namely the input to the plant. The theory developed for general nonlinear time varying systems is applied to linear time-invariant system. The conflicting objective, namely, tracking vs. identification is most naturally posed and partially solved in the domain of Multiple Objective Optimization Theory. The control objective here is minimization of a standard quadratic criterion. The identification criterion is maximization of the Fisher information matrix. The Multiple Objective criterion is the simultaneous minimization of the quadratic criterion and maximization of the information matrix. We demonstrate, for linear time invariant plants with quadratic cost, that Pareto optimal adaptive controller may be obtained where a scalars control the tracking vs. identification tradeoff.

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Engineering, Electrical & Electronic
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