- Tytuł:
- An adaptive observer design approach for a class of discrete-time nonlinear systems
- Autorzy:
-
Srinivasarengan, K.
Ragot, J.
Aubrun, C.
Maquin, D. - Powiązania:
- https://bibliotekanauki.pl/articles/330844.pdf
- Data publikacji:
- 2018
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
adaptive observer
joint state estimation
parameter estimation
Takagi-Sugeno model
time-varying parameter estimation
sector nonlinearity transformation
discrete-time nonlinear systems
obserwator adaptacyjny
identyfikacja parametrów
model Takagi-Sugeno
transformacja nieliniowa
dyskretny układ nieliniowy - Opis:
- We consider the problem of joint estimation of states and some constant parameters for a class of nonlinear discrete-time systems. This class contains systems that could be transformed into a quasi-LPV (linear parameter varying) polytopic model in the Takagi–Sugeno (T–S) form. Such systems could have unmeasured premise variables, a case usually overlooked in the observer design literature. We assert that, for such systems in discrete-time, the current literature lacks design strategies for joint state and parameter estimation. To this end, we adapt the existing literature on continuous-time linear systems for joint state and time-varying parameter estimation. We first develop the discrete-time version of this result for linear systems. A Lyapunov approach is used to illustrate stability, and bounds for the estimation error are obtained via the bounded real lemma. We use this result to achieve our objective for a design procedure for a class of nonlinear systems with constant parameters. This results in less conservative conditions and a simplified design procedure. A basic waste water treatment plant simulation example is discussed to illustrate the design procedure.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 55-67
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł