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Fixed order LPV controller design for LPV models in input-output form

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4 Author(s)
Cerone, V. ; Dipt. di Autom. e Inf., Politec. di Torino, Torino, Italy ; Piga, D. ; Regruto, D. ; Toth, R.

In this work, a new synthesis approach is proposed to design fixed-order H controllers for linear parameter-varying (LPV) systems described by input-output (I/O) models with polynomial dependence on the scheduling variables. First, by exploiting a suitable technique for polytopic outer approximation of semi-algebraic sets, the closed loop system is equivalently rewritten as an LPV I/O model depending affinely on an augmented scheduling parameter vector constrained inside a polytope. Then, the problem is reformulated in terms of bilinear matrix inequalities (BMI) and solved by means of a suitable semidefinite relaxation technique.

Published in:

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Date of Conference:

10-13 Dec. 2012

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