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Published in:
2007 | OriginalPaper | Chapter
Numerical Method for Regional Pole Assignment of Linear Control Systems
Authors : Petko Hr. Petkov, Nicolai D. Christov, Michail M. Konstantinov
Published in: Numerical Methods and Applications
Publisher: Springer Berlin Heidelberg
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A new class of regional pole assignment problems for linear control systems is considered, in which each closed-loop system pole is placed in a desired separate region of the complex plane. A numerically stable method for regional pole assignment is proposed, in which the design freedom is parameterized directly by specific eigenvector (or principal vector) elements and pole location variables that can be chosen arbitrarily. Combined with an appropriate optimization procedure, the proposed method can be used to solve a wide range of optimization problems with pole location constraints, arising in the multi-input control systems design (
H
2
/
H
∞
optimization with pole assignment, robust pole assignment, pole assignment with maximum stability radius, etc.).