Institute for Systems Research Technical Reports

Permanent URI for this collectionhttp://hdl.handle.net/1903/4376

This archive contains a collection of reports generated by the faculty and students of the Institute for Systems Research (ISR), a permanent, interdisciplinary research unit in the A. James Clark School of Engineering at the University of Maryland. ISR-based projects are conducted through partnerships with industry and government, bringing together faculty and students from multiple academic departments and colleges across the university.

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Author: search.filters.author.Ho-Mock-Qai, BertinaSubject: search.filters.subject.simultaneous stabilization

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    Time-Varying simultaneous stabilization, Part II. Finite families of nonlinear systems
    (1996) Ho-Mock-Qai, Bertina; Dayawansa, Wijesuriya P.; ISR
    In this paper, we derive sufficient conditions for the existence of a continuous time-varying feedback law that simultaneously locally or globally asymptotically stabilizes a finite family of nonlinear systems. We then focus on a class of pairs of nonlinear homogeneous systems, and by using the previous sufficient conditions, we establish their asymptotic stabilizability by means of time-varying feedback.
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    Time-Varying Simultaneous stabilization, Part I. Countable families of LTI systems
    (1996) Ho-Mock-Qai, Bertina; ISR
    In this paper, we introduce a new method that enables us to prove that given any finite family of LTI (linear time-invariant) systems, there exists a continuous time varying feedback law that simultaneously globally exponentially stabilizes this family. We then derive sufficient conditions for the simultaneous asymptotic stabilizability of countably infinite families of LTI systems. In both cases we provide simple design procedures as well as explicit controls.
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    Non-Smooth Simultaneous Stabilization of Nonlinear Systems: Interpolation of Feedback Laws
    (1996) Ho-Mock-Qai, Bertina; Dayawansa, Wijesuriya P.; ISR
    In this paper, we introduce a method that enables us to construct a continuous simultaneous stabilizer for pairs of systems in the plane that cannot be simultaneously stabilized by smooth feedback. We extend this method to higher dimensional systems and prove that any pair of asymptotically stabilizable nonlinear systems can be simultaneously stabilized (not asymptotically) by means of continuous feedback. The resulting simultaneous stabilizer depends on a partition of unity and we show how to circumvent the computation of this partition of unity by constructing an explicit simultaneous stabilizer.