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Realizability of precompensators in linear multivariable systems: A structural approach
Kybernetika, Tome 50 (2014) no. 4, pp. 512-529
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In this work, given a linear multivariable system, the problem of static state feedback realization of dynamic compensators is considered. Necessary and sufficient conditions for the existence of a static state feedback that realizes the dynamic compensator (square or full column rank compensator) are stated in structural terms, i. e., in terms of the zero-pole structure of the compensator, and the eigenvalues and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given compensator. It is also shown that the static state feedback realizing the compensator is unique if and only if the closed-loop system is controllable.
In this work, given a linear multivariable system, the problem of static state feedback realization of dynamic compensators is considered. Necessary and sufficient conditions for the existence of a static state feedback that realizes the dynamic compensator (square or full column rank compensator) are stated in structural terms, i. e., in terms of the zero-pole structure of the compensator, and the eigenvalues and the row image of the controllability matrix of the compensated system. Based on these conditions a formula is presented to find the state feedback matrices realizing a given compensator. It is also shown that the static state feedback realizing the compensator is unique if and only if the closed-loop system is controllable.
DOI : 10.14736/kyb-2014-4-0512
Classification : 93B52, 93C05
Keywords: linear systems; feedback control; compensator realizability 
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Ruiz-León, Javier; Castañeda, Eduardo. Realizability of precompensators in linear multivariable systems: A structural approach. Kybernetika, Tome 50 (2014) no. 4, pp. 512-529. doi: 10.14736/kyb-2014-4-0512

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