Robust partial pole assignment problem for high order control systems

Authors:
Yun-Feng Cai;Jiang Qian;Shu-Fang Xu
Affiliations:
Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China;School of Sciences, Beijing University of Posts and Telecommunications, Beijing, 100876, China;LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China
Venue:
Automatica (Journal of IFAC)
Year:
2012

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A numerically reliable approach to robust pole assignment for descriptor systems

Future Generation Computer Systems - Selected papers on theoretical and computational aspects of structural dynamical systems in linear algebra and control

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Abstract

In this paper, we consider the partial pole assignment problem (PPAP) for high order control systems. It is shown that solving the PPAP is essentially solving a pole assignment for a linear system of a much lower order, and the robust PPAP is then concerning the robust pole assignment problem for this linear system. Based on this theory, a rather simple algorithm for solving the robust PPAP is proposed, and numerical examples show that this algorithm does lead to comparable results with earlier algorithms, but at much lower computational cost.