| bibtype |
J -
Journal Article
|
| ARLID |
0306881 |
| utime |
20240103185927.1 |
| mtime |
20080425235959.9 |
| title
(primary) (eng) |
Numerical method for the solution of the regulator equation with application to nonlinear tracking |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0256218 |
| ISSN |
0005-1098 |
| title
|
Automatica |
| volume_id |
44 |
| volume |
5 (2008) |
| page_num |
1358-1365 |
| publisher |
|
|
| title
(cze) |
Numerická metoda řešení regulační rovnice a jeji využití pro nelineární sledování |
| keyword |
nonlinear output regulation |
| keyword |
finite-element method |
| keyword |
optimization |
| author
(primary) |
| ARLID |
cav_un_auth*0216347 |
| name1 |
Rehák |
| name2 |
Branislav |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0101074 |
| name1 |
Čelikovský |
| name2 |
Sergej |
| institution |
UTIA-B |
| full_dept |
Department of Control Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| cas_special |
| project |
| project_id |
GP102/07/P413 |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0228875 |
|
| project |
| project_id |
GA102/08/0186 |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0239127 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
A numerical method to solve the so-called regulator equation is presented here. This equation consists of partial differential equations combined with algebraic ones and arises when solving the output-regulation problem. Solving the regulator equation is becoming difficult especially for the nonminimum phase systems where reducing variables against algebraic part leads to a potentially unsolvable differential part. The proposed numerical method is based on the successive approximation of the differential part of the regulator equation by the finite-element method while trying to minimize a functional expressing the error of its algebraical part. The method is analyzed to obtain theoretical estimates of its convergence and it is tested on an example of the "two-carts with an inverted pendulum" system. Simulations are included to illustrate the suggested approach. |
| abstract
(cze) |
Je odvozena numerická metoda řešení regulační rovnice, což je parciální diferenciální rovnice s algebraickým omezením. Tato rovnice je použitelná pro návrh nelineární rgulace výstupu.Prezentovaná metoda je analyzována i z hlediska konvergence a je také využita k návrhu regulace některých praktických systémů, jako například soustavy dvou vozíků s obráceným kyvadlem. |
| reportyear |
2008 |
| RIV |
BC |
| permalink |
http://hdl.handle.net/11104/0159784 |
| mrcbT16-f |
4.013 |
| mrcbT16-g |
0.278 |
| mrcbT16-h |
8 |
| mrcbT16-i |
0.0313 |
| mrcbT16-j |
1.242 |
| mrcbT16-k |
12382 |
| mrcbT16-l |
388 |
| mrcbT16-q |
140 |
| mrcbT16-s |
5.269 |
| mrcbT16-y |
20.4 |
| mrcbT16-x |
4.33 |
| arlyear |
2008 |
| mrcbU63 |
cav_un_epca*0256218 Automatica 0005-1098 1873-2836 Roč. 44 č. 5 2008 1358 1365 Elsevier |
|