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Title: Switched dynamical systems: Transition model, qualitative theory, and advanced control
Keywords: dynamical systems, switched systems, variation paradigm, gauge design, adaptive control, output feedback control
Issue Date: 13-Jul-2009
Citation: HAN THANH TRUNG (2009-07-13). Switched dynamical systems: Transition model, qualitative theory, and advanced control. ScholarBank@NUS Repository.
Abstract: This thesis presents a qualitative theory for switched systems and control methods for uncertain switched systems. A transition model is introduced for a general framework for qualitative theories of dynamical systems. A model of switched systems is derived from the general rule of transition for studying switched systems in terms of the timing properties of discrete advents without involving discrete dynamics. The notion of limiting switching sequence and the principle of small-variation small-attractor are introduced for variation paradigms for invariance principles of switched systems. Both delay-free and time-delay cases are studied. The principle of small-variation small-state is stated for asymptotic gain and a gauge design is proposed for adaptive control and adaptive output feedback control of switched nonlinear systems. Adaptive neural control is presented for switched systems subject to switching jumps. Discrepancy between control gains and unmodeled dynamics are of fundamental difficulties.
Appears in Collections:Ph.D Theses (Open)

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