On the effect of additional input channels on the achievable performance of discrete-time control systems

  • Authors:
  • Ignacio A. Latorre;Eduardo I. Silva;Mario E. Salgado

  • Affiliations:
  • -;-;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2014

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Abstract

This paper deals with the quantification of performance bounds in multiple-input multiple-output (MIMO) control systems when energy-constrained input channels are added to the plant. We focus on stable, discrete-time, linear time-invariant (LTI), and right-invertible MIMO systems. The performance is quantified using the 2-norm and assuming step references, whilst the control input energy constraint is on the increments of the additional input signals. Our main result is a closed form expression that quantifies the improvement in performance that results as a consequence of the additional input channels.