| The linear quadratic of optimal control is the classical optimal of control modern control theory. They started this research in the early1950’s and have made great achievements. Especially for based on state feedback controller has quite mature.so solve linear system, nonlinear systems, the linear system with delays, the linear system with interference and network system with quadratic view,also made great achievements. But for multiple systems with time delay and based on output feedback quadratic problem still need further research.In this paper mainly studied the following several problems:(1) Optimal control for linear systems with time-varying and delays in control input.(2) Time optimal control for linear quadratic with output feedback.(3) I summaried the research findings of time optimal control for linear quadratic with pure time-delay. Gave same advantages and disadvantages and improvement method.The thesis is divided into four sections according to contents.Chapter1Preference, I introduce the main contents of this paper.Chapter2The basic knowledge and lemma, introduced conclusion and lemma based on state feedback and output feedback of optimal control in this paper.Chapter3The special started about optimal control for linear systems with multiple time delays in control input. Mainly utilized linear quadratic method for the optimal control law.Chapter4I research using the output feedback solving quadratic time optimal control. Mainly using the linear matrix inequality method and some important lemmas to proveChapter5About a special model-time optimal control for linear quadratic with pure time-delay. I summaried the model that people using the Pade approximation method to design.Gave same advantages and disadvantages and improvement method. |
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