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MIMO tracking control of LTI systems: A geometric approach

par Padula, Fabrizio;Ntogramatzidis, Lorenzo;Garone, Emanuele
Référence Systems & control letters, 126, page (8-20)
Publication Publié, 2019-04-01

Article révisé par les pairs

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Résumé :

This paper addresses the tracking problem of constant references for multiple-input multiple-output linear time-invariant systems. We provide necessary and sufficient conditions for the solvability of the problem under the minimal set of assumptions that guarantee the well-posedness of every control problem requiring stability. Our approach allows to solve tracking problems for systems which are possibly nonright-invertible, simply (not asymptotically) stabilizable, and possibly with invariant zeros at the origin. Our methodology is constructive and results in the design of a stabilizing feedback matrix and a feedforward signal which solve the problem.