Robust control of polytopic systems by convex optimization

— 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.

• Type: Journal
• Year: 2007
• Where: AUTOMATICA
• Authors: Alireza Karimi, Hamid Khatibi, Roland Longchamp
• Keywords: AUTOMATICA 2007, Convex Optimization Problem, Linear Time-invariant Siso, Robust Control Synthesis