Functional relationships between the conventional steady-state error characteristics and the weighting matrices in the quadratic performance index†
作者:
C. H. HOUPIS,
C. T. CONSTANTINIDES,
期刊:
International Journal of Control
(Taylor Available online 1972)
卷期:
Volume 15,
issue 6
页码: 1147-1156
ISSN:0020-7179
年代: 1972
DOI:10.1080/00207177208932227
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The requirements for achieving a desired value of steady-state error for an optimal control system utilizing the quadratic performance index with a linear plant arc derived for step, ramp and parabolic inputs. These requirements result in a number of the elements of the Riccati matrix being specified in terms of known parameters. It is shown that for an all-pole plant the control system cannot follow a parabolic input. For the stop input theq11element of theQmatrix is specified as one for an all-pole plant or in terms of the fixed plant parameters for a pole-zero plant. Depending on the number of requirements and the order of the system it may be necessary to assume values for the remaining elements of theQmatrix in order to solve the reduced Riccati equation.
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