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IMA Journal of Mathematical Control and Information 1993 10(2):97-111; doi:10.1093/imamci/10.2.97
© 1993 by Institute of Mathematics and its Applications
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An algorithm for multivariable-system closed-loop performance assessment using step data

YI CAO {dagger} and D. H. OWENS

The Centre for Systems and Control Engineering, School of Engineering, University of Exeter EX4 4QF

Among approximate-model techniques, assessment of the closed-loop performance deterioration arising from the approximate model plays an important role in control-system design. The early work of Owens & Chotai (1983) proposed a method to bound the closed-loop output transient performance deterioration. But in practice it has been found that the assessment for multivariable (MIMO) systems is not good as the one for single-input single-output (SISO) systems. The obstacle comes from the non-commutation of multivariable convolution operators (Owens & Chotai 1983). This paper proposes a one-step method to assess the closed-loop response of a MIMO system. The algorithm to implement the assessment is discussed. Because the new algorithm assesses the output transient performance without the need to assess input performance, the uncertainty in closed-loop output predictions has been reduced greatly.

{dagger}On leave from Department of Electrical Engineering, Zhejiang University Hangzhou, China.


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