Title: An exterior-point approach to the robust D-stability control with output feedback

Authors: Y. Kami, E. Nobuyama

Addresses: Department of Electrical and Computer Engineering, Akashi National College of Technology, Hyogo 674-8501, Japan. ' Department of Systems Design and Informatics, Kyushu Institute of Technology, Fukuoka 820-8502, Japan

Abstract: This paper deals with the robust D-stability (regional pole placement) control against time invariant polytopic uncertainties. It is known that such robust control problems can be described as parameter dependent bilinear matrix inequality (robust BMI) problems which are difficult to solve. In this paper, we propose an iterative approach to design a static or a reduced-order output feedback controller achieving the robust D-stability constraint. The feature of our approach is to construct a controller sequence approaching a feasible region from the outside. Numerical examples are given to show the efficiency of our approach.

Keywords: exterior point approach; time invariant polytopic uncertainties; robust D stability; parameter dependent bilinear matrix inequality; PDBMI; multi-convex relaxation.

DOI: 10.1504/IJAMECHS.2011.040682

International Journal of Advanced Mechatronic Systems, 2011 Vol.3 No.2, pp.109 - 118

Published online: 16 Jun 2011 *

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