Energy-based Observer Design For Its Applied Research In Electric Power System

Generalized Hamiltonian systems, which developed from traditional Hamiltonian systems, describe a kind of open systems which can have energy dissipation and energy exchange with their environment. Because of their good structures, their clear physical expression and the fact that Lya-punov candidates can be chosen from their Hamiltonian functions, generalized Hamiltonian systems have advantages over other plants in many control problems such as stability analysis and stabilization control and H_∞ control design.In the control design of the Hamiltonian systems, if the system under consideration is not measurable, the need to design an observer is well understood by now. Howerver, for observer design of general PCH systems, to the author's best knowledge there are only few works. Rencently, Professor Wang has proposed the "Extension plus feedback" method. Using this method, the observer design problem for general PCH systems could be well solved.In rencent years, the Hamiltonian method (the energy-based method) has been wildly used in the control design of the power system. The power system is a complex system with energy production, transmission and consumption. The balance of energy plays a key role in the system. It is very natural to take the energy function as the Lyapnov function in its control design. Up to now, the Hamiltonian method has become one of important tools in the research of the power system. In the research, the key to success is designing effective controllers by state feedback. However, due to measurement technology and the existence of disturbances and uncertainties, we cannot obtain our desirable signals in general, that is, some signals are not measurable. In state feedback control designs, if the system under consideration is not measurable, the need to design an observer is well understood by now. An observer can asymptotically reconstruct the state of a system and enable the realization of feedback controls.In the dissertation, we investigate control designs for a class of Hamiltonian systems with its applications to ordinary systems. Firstly, we study the observer design for the Hamiltonian systems and propose a novel design method, based on which an observer is then designed for the class of Hamiltonian systems. Secondly, the new design method is used to study the observer design for linear/time-varying/nonlinear systems. Thirdly, we investigate the tracking control problem for Hamiltonian systems and present a novel tracking controller for the systems. Finally, based on the energy-based design method, we study the tracking problem for linear/time-varying...