TY - JOUR
T1 - Adaptive and non-adaptive 'pole-placement' control of multivariable linear time-varying plants
AU - Limanond, Suttipan
AU - Tsakalis, Konstantinos
N1 - Funding Information:
This work was sppuorted by the National Science F oundation under RIA grant ECS1-19. 1346
PY - 2001/3/20
Y1 - 2001/3/20
N2 - In this paper, the adaptive and non-adaptive 'pole-placement' control problems are addressed for a class of index-invariant multivariable linear time-varying plants. In the case where the plant parameters are completely known, it is shown that a 'pole-placement'-like control algorithm can be designed by solving a time-varying Diophantine equation. Furthermore, the tracking performance of such a controller can be improved by incorporating the internal model principle into the design. In the case where the plant parameters are only partially known, a gradient-based adaptive law with projection and normalization is employed to estimate the plant parameters on-line. An adaptive controller is then designed, based on these parameter estimates, and the stability properties of the adaptive closed-loop plant are established. The design and realization of both the adaptive and non-adaptive control laws is illustrated by means of a simple example.
AB - In this paper, the adaptive and non-adaptive 'pole-placement' control problems are addressed for a class of index-invariant multivariable linear time-varying plants. In the case where the plant parameters are completely known, it is shown that a 'pole-placement'-like control algorithm can be designed by solving a time-varying Diophantine equation. Furthermore, the tracking performance of such a controller can be improved by incorporating the internal model principle into the design. In the case where the plant parameters are only partially known, a gradient-based adaptive law with projection and normalization is employed to estimate the plant parameters on-line. An adaptive controller is then designed, based on these parameter estimates, and the stability properties of the adaptive closed-loop plant are established. The design and realization of both the adaptive and non-adaptive control laws is illustrated by means of a simple example.
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U2 - 10.1080/00207170010017158
DO - 10.1080/00207170010017158
M3 - Article
AN - SCOPUS:0035917217
SN - 0020-7179
VL - 74
SP - 507
EP - 523
JO - International Journal of Control
JF - International Journal of Control
IS - 5
ER -