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Brief Paper Achievable performance bounds for tall MIMO systems

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3 Author(s)
M. A. García ; Department of Electronic Engineering, Universidad Tecnica Federico Santa Maria, Casilla 110-V, Valparaiso, Chile ; M. E. Salgado ; E. I. Silva

In this study, a methodology to compute achievable performance bounds for non-right-invertible, stable, discrete-time MIMO systems is proposed. This methodology is based on the definition of a new performance index, which is the cumulative, squared and exponentially weighted tracking error to a step reference. The results include expressions for the optimal value of this performance index and for the Youla parameter that is able to achieve such performance. For a particular class of single-input multiple-output plants, closed-form expressions depending on the dynamic features of the plant are also obtained. A discussion on the selection of the speed of decay of the exponential weight and its influence on optimal closed-loop stability is included. Numerical examples are presented to illustrate the results.

Published in:

IET Control Theory & Applications  (Volume:5 ,  Issue: 5 )