Brief paper: Robust control of polytopic systems by convex optimization

Authors:
Alireza Karimi;Hamid Khatibi;Roland Longchamp
Affiliations:
Laboratoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland;Laboratoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland;Laboratoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 2
Cited 2

Robust Control: The Parametric Approach

Robust Control: The Parametric Approach
Brief Combined pole placement/sensitivity function shaping method using convex optimization criteria

Automatica (Journal of IFAC)

Brief paper: A hierarchy of LMI inner approximations of the set of stable polynomials

Automatica (Journal of IFAC)
Design of adaptive robust guaranteed cost controller for wind power generator

International Journal of Automation and Computing

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Abstract

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional approximation of this set is obtained using the orthonormal basis functions and represented by a set of LMIs thanks to the KYP lemma. Then, an LMI based convex optimization problem for robust pole placement with sensitivity function shaping in two- and infinity-norm is proposed. The simulation results show the effectiveness of the proposed method.