| Title:
|
Continuous-time input-output decoupling for sampled-data systems (English) |
| Author:
|
Grasselli, Osvaldo M. |
| Author:
|
Menini, Laura |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
35 |
| Issue:
|
6 |
| Year:
|
1999 |
| Pages:
|
[721]-735 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The problem of obtaining a continuous-time (i. e., ripple-free) input-output decoupled control system for a continuous-time linear time-invariant plant, by means of a purely discrete-time compensator, is stated and solved in the case of a unity feedback control system. Such a control system is hybrid, since the plant is continuous-time and the compensator is discrete-time. A necessary and sufficient condition for the existence of a solution of such a problem is given, which reduces the mentioned hybrid control problem to an equivalent purely continuous-time decoupling problem. A simple necessary and sufficient condition for the existence of a solution of such a continuous-time decoupling problem is given for square plants (with and without the additional requirement of the asymptotic stability of the over-all control system), together with a parameterisation of all the decoupling controllers. Moreover, for square plants, it is shown that, whenever the hybrid control problem admits a solution, any solution of the corresponding decoupling problem for the discrete-time model of the given continuous-time system is also a solution of the hybrid control problem. (English) |
| Keyword:
|
continuous-time control |
| Keyword:
|
input-output decoupling |
| Keyword:
|
sampled-data systems |
| Keyword:
|
unity feedback control |
| MSC:
|
93B17 |
| MSC:
|
93B52 |
| MSC:
|
93C30 |
| MSC:
|
93C57 |
| idZBL:
|
Zbl 1274.93185 |
| idMR:
|
MR1747972 |
| . |
| Date available:
|
2009-09-24T19:29:34Z |
| Last updated:
|
2015-03-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135321 |
| . |
| Reference:
|
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