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1、華中科技大學(xué)碩士學(xué)位論文離散脈沖切換系統(tǒng)的魯棒控制及其應(yīng)用姓名:李素蘭申請學(xué)位級別:碩士專業(yè):系統(tǒng)工程指導(dǎo)教師:劉新芝20060430華 中 科 技 大 學(xué) 碩 士 學(xué) 位 論 文 IIAbstract The major topic of control problems is to modify the dynamics of a system such that some pa
2、rticular objects are satisfied. Control theory is benefited from practical activities and will be used to solve practical problems. Based on precise mathematical models, the control theory tries
3、 to find a controller satisfying given performance index, or aims to search the optimal controller such that the optimal performance index can be realized. However, almost all of real systems
4、may suffer uncertainties in different forms. The uncertainties include either model imperfections, such as unmodeled dynamics, structured parametric uncertainties, change of the operating environment
5、, model reduction and linearization approximations, etc, or external disturbances, for examples, various disturbances with unknown statistical characteristic and bounded energy. For the analysis and synthesi
6、s of uncertain systems, this dissertation admits some tolerances of uncertainties, within which robust performances are guaranteed. Firstly, background and signification of discrete impulsive switch systems
7、(DISS) are reviewed,and the reported research works on DISS and the robust stability control of DISS are summarized. Based on industrial applications such as macroeconomic systems and manufacturing
8、, a new mathematic model, the impulsive switched system with linear uncertainties, is presented for the systems under impulsive discrete control at the switching instants. By Lyapunov function method, some suff
9、icient conditions of asymptotic stability and robust stability of this system are obtained. Then the method is extended to the systems with nonlinear uncertainties, by H∞ control method, the inne
10、r stability and H∞ performance of this system is studied and a robust controller based on MATLAB soft is designed. Finally, the thesis simply summarizes the research work of the application of
11、 H∞ robust control to macroeconomic model. In the end, a brief summary has been done for the discussion and the farther research trend on robust control of discrete impulsive switched systems
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