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离散二次最优与能量的关系
引用本文:姚允龙,蔡常丰.离散二次最优与能量的关系[J].汕头大学学报(自然科学版),1990(1).
作者姓名:姚允龙  蔡常丰
摘    要:本文从能量角度来讨论离散系统的二次最优问题.得到了存在最优控制的充要条件,并证明了最优控制的唯一性及反馈性.利用这个推广的二次最优定理,得到了存在稳定的二次最优闭环系统的充要条件.

关 键 词:二次目标函数  能量可有限性  最优反馈控制  能控性  能稳性  Riccati方程

The Relation between Discrete Quadratic Optimum and Energy
Yao Yunlong Cai Changfeng.The Relation between Discrete Quadratic Optimum and Energy[J].Journal of Shantou University(Natural Science Edition),1990(1).
Authors:Yao Yunlong Cai Changfeng
Institution:Yao Yunlong Cai Changfeng
Abstract:In this paper the quadratic optimum problem in discrete system is discussed in terms of energy. The necessary and sufficient condition for the existence of optimal control is obtained, and the uniqueness and feedback property of optimal control are proved. Using this extended quadratic optimization theorem, the necessary and sufficient condition for the existence of stable quadratic optimal closed-loop system is obtained.
Keywords:Quadratic target function  Energy limitability  Optimal feedback control  Controllability  Stabilizability  Riccati's equation
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