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

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4 Author(s)
V. Cerone ; Dipartimento di Automatica e Informatica, Politecnico di Torino, corso Duca degli Abruzzi 24, 10129, Italy ; D. Piga ; D. Regruto ; R. Tóth

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:

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

Date of Conference:

10-13 Dec. 2012