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## International Journal of Applied Mathematics and Computer Science

2009 | 19 | 3 | 425-439
Tytuł artykułu

### Verification techniques for sensitivity analysis and design of controllers for nonlinear dynamic systems with uncertainties

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Control strategies for nonlinear dynamical systems often make use of special system properties, which are, for example, differential flatness or exact input-output as well as input-to-state linearizability. However, approaches using these properties are unavoidably limited to specific classes of mathematical models. To generalize design procedures and to account for parameter uncertainties as well as modeling errors, an interval arithmetic approach for verified simulation of continuoustime dynamical system models is extended. These extensions are the synthesis, sensitivity analysis, and optimization of open-loop and closed-loop controllers. In addition to the calculation of guaranteed enclosures of the sets of all reachable states, interval arithmetic routines have been developed which verify the controllability and observability of the states of uncertain dynamic systems. Furthermore, they assure asymptotic stability of controlled systems for all possible operating conditions. Based on these results, techniques for trajectory planning can be developed which determine reference signals for linear and nonlinear controllers. For that purpose, limitations of the control variables are taken into account as further constraints. Due to the use of interval techniques, issues of the functionality, robustness, and safety of dynamic systems can be treated in a unified design approach. The presented algorithms are demonstrated for a nonlinear uncertain model of biological wastewater treatment plants.
Słowa kluczowe
EN
Rocznik
Tom
Numer
Strony
425-439
Opis fizyczny
Daty
wydano
2009
otrzymano
2008-09-22
poprawiono
2008-12-15
Twórcy
autor
• Chair of Mechatronics, University of Rostock, D-18059 Rostock, Germany
autor
• Institute of Measurement, Control, and Microtechnology, University of Ulm, D-89069 Ulm, Germany
autor
• Institute of Measurement, Control, and Microtechnology, University of Ulm, D-89069 Ulm, Germany
Bibliografia
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Bibliografia
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