| Title:
|
A deterministic LQ tracking problem: parametrisation of the controller (English) |
| Author:
|
Čirka, Ľuboš |
| Author:
|
Mikleš, Ján |
| Author:
|
Fikar, Miroslav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
[469]-478 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The article discusses an optimal Linear Quadratic (LQ) deterministic control problem when the Youla–Kučera parametrisation of controller is used. We provide a computational procedure for computing a deterministic optimal single-input single-output (SISO) controller from any stabilising controller. This approach allows us to calculate a new optimal LQ deterministic controller from a previous one when the plant has changed. The design based on the Youla –Kučera parametrisation approach is compared to the classical LQ design. (English) |
| Keyword:
|
LQ deterministic control |
| Keyword:
|
tracking problem |
| MSC:
|
49N10 |
| MSC:
|
93C55 |
| MSC:
|
93C62 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1265.93174 |
| idMR:
|
MR1937141 |
| . |
| Date available:
|
2009-09-24T19:47:47Z |
| Last updated:
|
2015-03-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135478 |
| . |
| Reference:
|
[1] Dostál P., Mészáros, A., Mikleš J.: A modified LQ tracking problem.Journal Electrical Engrg. 45 (1994), 4, 129–133 |
| Reference:
|
[2] Hunt K. J., Šebek M.: Implied polynomial matrix equations in multivariable stochastic optimal control.Automatica 27 (1991), 2, 395–398 Zbl 0729.93083, MR 1095430, 10.1016/0005-1098(91)90088-J |
| Reference:
|
[3] Kučera V.: Discrete Linear Control: The Polynomial Equation Approach.Wiley, Chichester 1979 Zbl 0432.93001, MR 0573447 |
| Reference:
|
[4] Kučera V.: New results in state estimation and regulation.Automatica 17 (1981), 745–748 MR 0632848, 10.1016/0005-1098(81)90021-2 |
| Reference:
|
[5] Kwakernaak H., Sivan R.: Linear Optimal Control Systems.Wiley, New York 1972 Zbl 0276.93001, MR 0406607 |
| Reference:
|
[6] Vidyasagar M.: Control System Synthesis: A Factorization Approach.MIT Press, Cambridge, MA 1985 Zbl 0655.93001, MR 0787045 |
| . |
