Output-feedback control of Lur’e-type systems with set-valued nonlinearities: A Popov-criterion approach | IEEE Conference Publication | IEEE Xplore

Output-feedback control of Lur’e-type systems with set-valued nonlinearities: A Popov-criterion approach


Abstract:

This paper presents an output-feedback controller design for Lur’e-type systems with set-valued nonlinearities in the feedback loop based on a generalization of a Popov-l...Show More

Abstract:

This paper presents an output-feedback controller design for Lur’e-type systems with set-valued nonlinearities in the feedback loop based on a generalization of a Popov-like criterion. Hereto, we introduce the concept of absolute input-to-state stability (ISS) that generalizes the well-known absolute stability property. The latter concept is used to design a state-feedback controller that renders the closed-loop system absolutely ISS and, therewith, robust to uncertainties in the nonlinearities and disturbances, such as measurement noise. Furthermore, an output-feedback controller design is constructed by exploiting the ISS property, where a model-based observer is used to estimate the system state. The control strategy is applied to a mechanical motion system with non-collocation of actuation and dry friction for which well-known strategies such as direct friction compensation fail. The effectiveness of the proposed output-feedback control strategy is shown in simulations.
Date of Conference: 11-13 June 2008
Date Added to IEEE Xplore: 05 August 2008
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Conference Location: Seattle, WA, USA

References

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