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Feedforward Control Design for Dynamical Systems

Thesis Info

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Author

Iqbal, Nayyer

Supervisor

Sergei Borisenok

Program

PhD

Institute

Government College University Lahore

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2008

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/182

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726201329

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The present Ph.D thesis deals with feedforward (open-loop) control methods, in clas- sical and quasi-classical physical systems like nonlinear oscillators, quantum particles in external electromagnetic field etc. We investigate the special case of fast oscillating control when the time of control period is sufficiently less to compare with the typical time of controlled system behavior ( for instance its period of oscillation). We apply mathematical technique specially developed for feedforward control systems such as Lyapunov method and Kapitza averaging. First we demonstrate that the Lyapunov spectrum of Kapitza averaged systems are sufficiently different from the original spectra of non-controlled plants. That means the description of averaged system in the neighborhood of their fixed points does not describe appropriately the original system behavior. Secondly we apply Kapitza averaging procedure to the original systems to derive the correcting terms in their dynamical equations. As a result we demonstrate re-design of original dynamical systems by fast changing control periodical force.
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