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Nonlinear Multi-Mode Robust Control For Small Telescopes

Lounsbury, William P

Abstract Details

2015, Master of Sciences, Case Western Reserve University, EECS - Electrical Engineering.
This paper introduces an innovative robust and nonlinear control design methodology for high-performance motor control in optical telescopes less than one meter in diameter. The dynamics of optical telescopes typically vary according to azimuth and altitude angles, temperature, friction, speed, and acceleration leading to nonlinearities and plant parameter uncertainty. The methodology proposed in this paper combines robust Quantitative Feedback Theory (QFT) techniques, the describing function method, and optimal control with nonlinear switching strategies that achieve simultaneously the best characteristics of a set of very active (fast) robust QFT controllers, very stable (slow) robust QFT controllers, and a pair of controllers designed around system limit cycles for high precision. A general dynamic model and a variety of specifications from several different commercially available amateur Newtonian telescopes are used for the controller design as well as the simulation and validation. It is also proven that the nonlinear/switching controller is stable for any switching strategy and switching velocity, according to described frequency conditions based on common quadratic Lyapunov functions and the circle criterion.
Mario Garcia-Sanz, Ph.D (Advisor)
Mario Garcia-Sanz, Ph.D (Committee Chair)
Francis Merat, Ph.D (Committee Member)
Marc Buchner, Ph.D (Committee Member)
58 p.

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Citations

  • Lounsbury, W. P. (2015). Nonlinear Multi-Mode Robust Control For Small Telescopes [Master's thesis, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1417781523

    APA Style (7th edition)

  • Lounsbury, William. Nonlinear Multi-Mode Robust Control For Small Telescopes. 2015. Case Western Reserve University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1417781523.

    MLA Style (8th edition)

  • Lounsbury, William. "Nonlinear Multi-Mode Robust Control For Small Telescopes." Master's thesis, Case Western Reserve University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=case1417781523

    Chicago Manual of Style (17th edition)