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Improved Robust Stability Bounds for Sampled Data Systems with Time Delayed Feedback Control

Kurudamannil, Jubal J
http://rave.ohiolink.edu/etdc/view?acc_num=osu1419012522

Abstract Details

2015, Master of Science, Ohio State University, Mechanical Engineering.
The problem considered is the robustness of a system stabilized by a discrete controller under state feedback with time delay. The ability to guarantee certainty of stability when the system is uncertain falls in the domain of robust control. Historically, robustness bounds have been formulated for net uncertainty ranges of the resulting overall system. These robustness bounds are state dependent and change with selection of states of the system. Recent new work has reformulated bounds in terms of uncertainty in the plant which originates system uncertainty not only by itself but also by affecting the state feedback and sampling as well. Results have been presented which demonstrate state selection variance for the case of plant uncertainty in order to possibly obtain better robustness bounds. Methods to implement such change of states and conditions for favorable state transformation are discussed. The methods are applied to cases studied in the past to document superior bounds. Finally, results are presented for state transform in the case of disturbances that has a known form based on previous work on perturbations with known structure.
Rama Yedavalli (Advisor)
Junmin Wang (Committee Member)
45 p.
Mechanical Engineering
Robust stability, State transform, Plant modeling uncertainty, Time delay , Feedback control, Sampled data system, Discrete control, Dynamic system, Matrix norm, Lyapunov stability, Robustness bounds, Structured perturbation, Time varying perturbation

Recommended Citations

Citations

  • Kurudamannil, J. J. (2015). Improved Robust Stability Bounds for Sampled Data Systems with Time Delayed Feedback Control [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1419012522

    APA Style (7th edition)

  • Kurudamannil, Jubal. Improved Robust Stability Bounds for Sampled Data Systems with Time Delayed Feedback Control. 2015. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1419012522.

    MLA Style (8th edition)

  • Kurudamannil, Jubal. "Improved Robust Stability Bounds for Sampled Data Systems with Time Delayed Feedback Control." Master's thesis, Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1419012522

    Chicago Manual of Style (17th edition)

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This open access ETD is published by The Ohio State University and OhioLINK.