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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Model-Free Stabilization by Extremum Seeking

Model-Free Stabilization by Extremum Seeking

Scheinker, Alexander
Krstic, Miroslav

Paperback

Technology & EngineeringCalculusGeneral Science

ISBN10: 3319507893
ISBN13: 9783319507897
Publisher: Springer
Published: Dec 30 2016
Pages: 127
Weight: 0.45
Height: 0.30 Width: 6.14 Depth: 9.21
Language: English

With this brief, the authors present algorithms for model-free stabilization of unstable dynamic systems. An extremum-seeking algorithm assigns the role of a cost function to the dynamic system's control Lyapunov function (clf) aiming at its minimization. The minimization of the clf drives the clf to zero and achieves asymptotic stabilization. This approach does not rely on, or require knowledge of, the system model. Instead, it employs periodic perturbation signals, along with the clf. The same effect is achieved as by using clf-based feedback laws that profit from modeling knowledge, but in a time-average sense. Rather than use integrals of the systems vector field, we employ Lie-bracket-based (i.e., derivative-based) averaging.

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