Pole placement in a specified region based on a linear quadratic regulator

A linear optimal quadratic regulator problem (an LQ-problem) is applied to assign all poles of the multivariable continuous-time system in a suitable region of the left-half complex plane. In particular, two design methods based on an LQ-problem for pole assignments in a truncated sector region of t...

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Bibliographic Details
Published in:International journal of control 1988-07, Vol.48 (1), p.225-240
Main Authors: KAWASAKI, NAOYA, SHIMEMURA, ETSUJIRO
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Optimal control
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Summary:A linear optimal quadratic regulator problem (an LQ-problem) is applied to assign all poles of the multivariable continuous-time system in a suitable region of the left-half complex plane. In particular, two design methods based on an LQ-problem for pole assignments in a truncated sector region of the left-half complex plane, which is given as a common area of a half plane Re λ≧-l > 0 and an open sector tan −1 |Im λA/Re λ≦½ are proposed. Each design method is given for the cases where 0 ≧ ½π and 0 ≦ ½π respectively. As these two design methods are derived from two basically different ideas, they will prove more useful if each method can be applied according to the demands of the system's dynamical characteristics.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207178808906171