Abstract
This paper describes the design of an adaptive regulator for an unknown continuous-time single-input single-output linear system. In the design, only the upper bound of the system order is assumed to be known. An improved form of a least-square identification scheme is first presented, and its convergence behaviour is studied using the orthogonal projection method. An adaptive regulator design algorithm, based upon the indirect control scheme, is then presented. Finally, the stability of the overall control system is established assuming that the estimated system can be stabilized.
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