| Title:
|
Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance (English) |
| Author:
|
Veselý, Vojtech |
| Author:
|
Körösi, Ladislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2020 |
| Pages:
|
810-820 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with the problem of obtaining a robust PI-D controller design procedure for linear time invariant descriptor uncertain polytopic systems using the regional pole placement and/or $H_2$ criterion approach in the form of a quadratic cost function with the state, derivative state and plant input (QSR). In the frame of Lyapunov Linear Matrix Inequality (LMI) regional pole placement approach and/or $H_2$ quadratic cost function based on Bellman-Lyapunov equation, the designed novel design procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure the designer could use controller with different structures such as P, PI, PID, PI-D. For the PI-D's D-part of controller feedback the designer could choose any available output/state derivative variables of descriptor systems. Obtained design procedure is in the form of Bilinear Matrix Inequality (BMI). The effectiveness of the obtained results is demonstrated on two examples. (English) |
| Keyword:
|
descriptor system |
| Keyword:
|
robust PI-D controller |
| Keyword:
|
state derivative feedback |
| Keyword:
|
output feedback |
| Keyword:
|
pole placement |
| MSC:
|
93B51 |
| MSC:
|
93B52 |
| MSC:
|
93B55 |
| MSC:
|
93B60 |
| idZBL:
|
Zbl 07286048 |
| idMR:
|
MR4168537 |
| DOI:
|
10.14736/kyb-2020-4-0810 |
| . |
| Date available:
|
2020-10-30T16:33:55Z |
| Last updated:
|
2021-02-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148385 |
| . |
| Reference:
|
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