Convergence Speed of Nonlinear Luenberger Observers | Zendy

Vincent Andrieu | Zendy

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Convergence Speed of Nonlinear Luenberger Observers

Author(s) -

Vincent Andrieu

Publication year - 2014

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/110853091

Subject(s) - observability , convergence (economics) , nonlinear system , control theory (sociology) , state observer , observer (physics) , mathematics , rate of convergence , state (computer science) , class (philosophy) , exponential function , computer science , mathematical analysis , control (management) , physics , algorithm , artificial intelligence , computer network , channel (broadcasting) , quantum mechanics , economics , economic growth

It is shown that under a weak observability assumption, the nonlinear Luenberger observer exists and ensures an exponential convergence rate of the estimate towards the state of the system. Moreover, it is shown that under the complete observability assumption, this class of observers is tunable. More specifically, it is shown that the estimate reaches a predetermined neighborhood of the state after a parameterizable time.

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