Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters
In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framewor...
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| Published in | IEEE transactions on automatic control Vol. 55; no. 9; pp. 2130 - 2135 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.09.2010
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| Abstract | In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient performance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability. |
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| AbstractList | In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient perfor- mance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability. In this note, linear matrix inequality-based design conditions are presented for observer-based controllers that stabilize discrete-time linear parameter-varying systems in the situation where the parameters are not exactly known, but are only available with a finite accuracy. The presented framework allows to make tradeoffs between the admissible level of parameter uncertainty on the one hand and the transient performance on the other. In addition, the level of parameter uncertainty can be maximized while still guaranteeing closed-loop stability. |
| Author | Daafouz, J Millerioux, G Heemels, W P M H |
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| Keywords | Transient response Linear matrix inequalities (LMIs) Linear parameter varying system Separation principle Closed feedback Robust control Time varying system Uncertain system Observer Discrete time output feedback and observers Linear matrix inequality System identification linear parameter-varying (LPV) systems Output feedback robust control separation principle |
| Language | English |
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| SubjectTerms | Applied sciences Automatic Automatic control Computer science; control theory; systems Control design Control system analysis Control systems Control theory. Systems Controllers Design engineering Electrical capacitance tomography Engineering Sciences Exact sciences and technology Linear matrix inequalities Linear matrix inequalities (LMIs) linear parameter-varying (LPV) systems Mathematical analysis Modelling and identification Observers Output feedback output feedback and observers Robust control separation principle Stability State feedback Transient performance Uncertain systems Uncertainty |
| Title | Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters |
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