Stabilization of linear control systems. Pole assignment problem. A survey
DOI:
https://doi.org/10.21638/11701/spbu01.2019.404Abstract
The paper reviews the problems of stabilization and pole assignment in the control of linear time-invariant systems by static state and output feedback. The main results on this topics are presented along with a literature review. Stationary and nonstationary stabilization by static feedback are considered. Algorithms of low- and high-frequency stabilization of linear systems for solving of the Brockett’s stabilization problem are delivered. Effective necessary and sufficient conditions for stabilization of two- and three-dimensional controllable linear systems in terms of the system parameters are given. The pole assignment problem and related questions for linear systems are considered.
Keywords:
linear system, asymptotic stability, stabilization, pole assignment, static output feedback, Brockett’s problem
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.