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IMA Journal of Mathematical Control and Information 1999 16(1):1-13; doi:10.1093/imamci/16.1.1
© 1999 by Institute of Mathematics and its Applications
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Input-output linearization with simultaneous decoupling by restricted state feedback

K. G. ARVANITIS {dagger} and A. S. TSIRIKOS {ddagger}

Division of Computer Science, Department of Electrical and Computer Engineering, National Technical University of Athens Zographou 15773, Athens, Greece

The problem of input-output linearization with simultaneous decoupling via restricted state feedback for nonsquare nonlinear systems is investigated in this paper. The problem is treated on the basis of a new algebraic approach whose main feature is that it reduces the determination of the admissible state-feedback control laws to the solution of an algebraic and a first-order partial differential system of equations. Verifiable necessary and sufficient conditions of an algebraic nature are established for the solvability of the aforementioned problem, which rely on the solvability of these systems of equations. Moreover, an explicit expression for a special admissible restricted state-feedback controller is analytically derived.

Keywords: Decoupling; linearization; nonlinear systems; nonsquarse systems; state feedback.

{dagger}Email: karvan{at}control.ece.ntua.gr

{ddagger}Email: tsirikos{at}control.ece.ntua.gr


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