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IMA Journal of Mathematical Control and Information 1986 3(1):29-41; doi:10.1093/imamci/3.1.29
© 1986 by Institute of Mathematics and its Applications
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Multiloop Self-tuning Control: Decoupling and Pole-assignment Regulators for 2-input 2-output Systems

M. A. HERSH

Industrial Control Unit, University of Strathclyde Glasgow G1 1XW

This work considers the regulation of 2-input 2-output systems. A class of controllers which simultaneously decouples the system and assigns its closed-loop poles is derived. The controllers in this class are of the ‘hybrid’ type and consist of a continuous-time control law, the parameters of which are updated using a discrete-time identification algorithm. Convergence and strong consistency results are derived for the identification algorithm and used to demonstrate that the adaptive control law does indeed produce a stable decoupled closed-loop system with poles correctly assigned.


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