An approach to the analysis of observability and controllability in nonlinear systems via linear methods

• Autorzy: Alexey Zhirabok , Alexey Shumsky
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to the problem of observability and controllability analysis in nonlinear dynamic systems. Both continuous- and discrete-time systems described by nonlinear differential or difference equations, respectively, are considered. A new approach is developed to solve this problem whose features include (i) consideration of systems with non-differentiable nonlinearities and (ii) the use of relatively simple linear methods which may be supported by existing programming systems, e.g., Matlab. Sufficient conditions are given for nonlinear unobservability/uncontrollability analysis. To apply these conditions, one isolates the linear part of the system which is checked to be unobservable/uncontrollable and, if the answer is positive, it is examined whether or not existing nonlinear terms violate the unobservability/uncontrollability property.

Słowa kluczowe

EN

nonlinear dynamic systems; observability; controllability; linear systems; decomposition

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 3
• Strony: 507-522

Daty

wydano

2012

otrzymano

2012-01-24

poprawiono

2012-04-02

poprawiono

2012-04-16

Twórcy

autor

Alexey Zhirabok

• Department of Automation and Control, Far Eastern Federal University, Sukhanova street, 8, Vladivostok, 690990, Russia

autor

Alexey Shumsky

• Department of Automation and Control, Far Eastern Federal University, Sukhanova street, 8, Vladivostok, 690990, Russia

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Identyfikatory

DOI

10.2478/v10006-012-0038-1