A new approach to adaptive control using an observer

Tong, Jiang; Bobis, J.P.

doi:10.1109/imtc.1993.382678

Cited by 1 publication

(2 citation statements)

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“…To the best of the authors knowledge the specific idea presented here is novel. Only two related works [9,10] could be found in published literature.…”

Section: Introductionmentioning

confidence: 99%

“…This idea is touched upon in [9] where it is argued that an observer cannot be designed for a system with unknown parameters and [9] propose that the observer should contain the known closedloop dynamics. A stability proof for the observer/controller solution is not presented in [9], but the scheme is demonstrated through simulations on a discrete-time system.…”

Section: Introductionmentioning

confidence: 99%

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Controller and observer design for first order LTI systems with unknown dynamics

Ohrem

Holden

2018

Proceedings of the 6th International Conference on Control, Mechatronics and Automation

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The design of controllers and observers often relies on first order models of the system in question. These models are often obtained either through step-response tests, through on-line or off-line identification or through development of a mathematical model. When the system in question has unknown or uncertain parameters, the developed model also contains uncertainties and the controller/observer design may result in bad performance or even instability. In this paper we present a combined design of a controller and an observer for scalar linear time-invariant systems with unknown parameters. We combine a model reference adaptive controller, which does not require a model of the system, with a Luenberger observer which uses the desired closed-loop dynamics as its model. We show through Lyapunov theory and by application of Barbǎlat's lemma that all error states in the closed-loop system converge to zero and that all signals are bounded. CCS CONCEPTS • Computing methodologies → Control methods; Modeling and simulation; • Applied computing → Engineering;

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“…To the best of the authors knowledge the specific idea presented here is novel. Only two related works [9,10] could be found in published literature.…”

Section: Introductionmentioning

confidence: 99%