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Title: New results in relay feedback analysis and multivariable stability margins
Authors: YE ZHEN
Keywords: relay feedback, gain margin, phase margin, multivariable systems, LMI, constrained optimization
Issue Date: 29-Feb-2008
Citation: YE ZHEN (2008-02-29). New results in relay feedback analysis and multivariable stability margins. ScholarBank@NUS Repository.
Abstract: In this thesis, several new results on relay feedback systems and multivariable PID control are obtained. For a class of servo plants under relay feedback, complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method and Poincare map. Then, an analytical technique is developed for tuning lead/lag/PD compensators for minimization of the integral squared error (ISE). In a more general case for the tuning of phase lead compensators with specifications of gain and phase margins, a simple graphical method is proposed, which can achieve the given margins exactly regardless of the plant order, time delay or damping nature. For multivariable systems, new definition of loop gain and phase margins is proposed. An effective computational scheme is established by converting the considered problem to a quasi-LMI problem connected with robust stability test.
Appears in Collections:Ph.D Theses (Open)

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