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OBSERVER‐BASED STABILIZATION OF SYSTEMS WITH MONOTONIC NONLINEARITIES
Author(s) -
Arcak Murat,
Kokotović Petar
Publication year - 1999
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.1999.tb00005.x
Subject(s) - control theory (sociology) , observer (physics) , monotonic function , state observer , multivariable calculus , convergence (economics) , nonlinear system , linear matrix inequality , interconnection , state (computer science) , alpha beta filter , computer science , mathematics , control (management) , control engineering , engineering , mathematical optimization , kalman filter , algorithm , artificial intelligence , mathematical analysis , computer network , physics , extended kalman filter , economics , moving horizon estimation , economic growth , quantum mechanics
We design an observer‐based control law for a class of systems that include monotonic nonlinearities of the unmeasured states. Our observer results in nonlinear error dynamics which can be represented as the feedback interconnection of a linear system and a time‐verying multivariable sector nonlinearity. The convergence of the estimation error is guaranteed by an observer matrix that renders the linear part passive, and is computable with LMI software. The feedback design is completed by combining the observer with a control law that renders the plant input‐to‐state stable with respect to the state estimation error.