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Robust Control of Polytopic Systems by Convex Optimization

Karimi, Alireza; Khatibi, Hamid; Longchamp, Roland
  • Presented at: European Control Conference, Kos, Greece, July 2007
  • Publication date: 2007

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.

Keywords: Robust control ; Polytopic system ; Convex optimization

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Record created on 2007-09-21, modified on 2012-03-20

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