Title :
On the effect of adding frequency-response-constrained input channels on the achievable performance of discrete-time control systems
Author :
Latorre, Ignacio ; Silva, Enrico ; Salgado, Mario
Author_Institution :
Electron. Eng. Dept., Univ. Tec. Federico Santa Maria, Valparaiso, Chile
Abstract :
This paper deals with the effect on the control performance, of adding frequency-response-constrained control channels to a stable, discrete-time and linear time-invariant (LTI) MIMO plant. We focus on the control tracking problem with step references, in which a 2-norm based performance index is considered. In order to introduce the frequency-response limitations of the additional channels, we assume that the constraint is on the energy of the stationary deviations of the additional input signals filtered by a previously selected filter. The main result of this work is a closed form expression that quantifies the benefits on the control performance of square MIMO plants when adding input channels with those limitations.
Keywords :
MIMO systems; discrete time systems; filtering theory; frequency response; linear systems; performance index; stability; tracking; 2-norm based performance index; LTI MIMO plant; control performance; control tracking problem; discrete-time control systems; frequency-response limitations; frequency-response-constrained input channels; input channel adding; linear time-invariant MIMO plant; signal filtering; square MIMO plants; stable discrete-time MIMO plant; stationary deviations; step references; Closed-form solutions; Frequency control; MIMO; Optimized production technology; Performance analysis; Standards; Vectors;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606305