Design of Adaptive Observation Schemes for Lipschitz Nonlinear Systems.

Cheng, Cheng-Fa

doi:10.1299/jsmec.44.863

Cited by 8 publications

(2 citation statements)

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“…Assumption 4 has also been widely considered in designing adaptive observers [5,6,13,14]. This assumption enables us to write the observer relation for the unknown parameter vector in the form of accessible output vector.…”

Section: Assumptionmentioning

confidence: 99%

“…An adaptive observer for multi-input-multi-output nonlinear systems was derived in [4]. Following these works, various kinds of adaptive observers have been devised for Lipschitz nonlinear systems [5][6][7][8][9][10][11] working under ideal operating conditions. The effects of disturbances/uncertainties have also been considered in [12][13][14] while designing adaptive observers for both linear and nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive observer for a class of nonlinear systems with time‐varying delays

Mondal

Chung

2012

Adaptive Control & Signal

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The adaptive observer design problems have been extensively studied in literature for both linear and nonlinear systems. Some researches have also been carried out on adaptive observer design for linear time-delay systems, but there is no significant work on adaptive observer design for nonlinear time-delay systems. In this work, the adaptive observer design problem for a class of nonlinear time-delay systems is considered. The observer is designed for the nonlinear systems whose nonlinear functions satisfy Lipschitz condition. Like conventional adaptive observers for the systems without time delays, this observer also estimates both states and unknown parameters simultaneously. For this property, it will be very much useful for many real-time systems where time delays cannot be avoided. The sufficient conditions for existence of the observer are derived using the linear matrix inequality approach. With the help of a numerical example, effectiveness of the proposed observer is demonstrated.

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Section: Assumptionmentioning

confidence: 99%