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Observers for differential-algebraic systems with Lipschitz or monotone nonlinearities. (English) Zbl 1453.93094
Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 257-289 (2020).
Summary: We study state estimation for nonlinear differential-algebraic systems, where the nonlinearity satisfies a Lipschitz condition or a generalized monotonicity condition or a combination of these. The presented observer design unifies earlier approaches and extends the standard Luenberger type observer design. The design parameters of the observer can be obtained from the solution of a linear matrix inequality restricted to a subspace determined by the Wong sequences. Some illustrative examples and a comparative discussion are given.
For the entire collection see [Zbl 1445.34004].
93B53 Observers
93C10 Nonlinear systems in control theory
93C23 Control/observation systems governed by functional-differential equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
Full Text: DOI
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