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Pole placement in a specified region based on a linear quadratic regulator. (English) Zbl 0688.93024
A linear optimal quadratic regulator problem is applied to assign all poles of the multivariable continuous-time system in a suitable region of the left-half complex plane. Two optimal pole-assignment methods have been proposed. The former assigns all poles in the region whose sector angle is greater than 1/2 \(\pi\), and the latter assigns all poles in the region whose sector angle is less than 1/2 \(\pi\). The former has the advantage that the control law could be automatically obtained after a finite number of at most n-iterations without calculating the eigenvalues and eigenvectors of the system matrix at each iteration. The latter has the advantage that the control law could be obtained after a finite number of, at most n, iterations without solving the algebraic Riccati equations if desired.
The paper is well organized and written and highly suggested to those involved in the corresponding area of interest.
Reviewer: A.V.Machias

MSC:
93B55 Pole and zero placement problems
93C35 Multivariable systems, multidimensional control systems
93C05 Linear systems in control theory
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