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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
Affiliation:Departamento de Electrónica, Universidad Técnica Federico Santa María, Avenida España 1680, Valparaíso, Chile
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.
Keywords:Optimal control   Performance limits   Redundant control   Optimal tracking   Non-minimum phase zeros
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