线性系统稳定性与最优性的关系——线性最优控制反问题的一种提法
The Relationship between the Stability and the Optimality of Linear Systems——Another Kind of the Inverse Problem of Linear Optimal Control
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摘要: 本文提出并讨论了与R.E.Kalman提出的线性系统最优控制反问题不同的最优控制的另一类反问题:任给一渐近稳定系统=x及指标,问能否将分解成为=A+BKT,使u=KTx在指标J下为系统=Ax+Bu的最优控制?本文给出了上述问题的解答并得出了渐近稳定系统与最优系统之间的某种对应关系.Abstract: Different from the inverse problem put forward by R. E. Kalman, another kind ofinverse problem of linear optimal control is proposed and dicussed in this paper.
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[1] Kalman,R.E.,When is a linear control system optimal,ASME J.Basic Engineering,March(1964). [2] Anderson,B.D.O.,The Inverse problem of optimal control.Rept.No.SEL-66-038(TR.No.6560-3),Standford electronics Laboratories,Standford,Clif.,May(1966). [3] Anderson,B.D.O.Nonlinear regulator theory and an inverse optimal problem.IEEE Trans.Automatic Control,AC-18(1973). [4] Wonham,W.M.,Linear Multivariable Control,Spring-Verlag,(1974). [5] 黄琳、郑应平、张迪,李雅普诺夫第二方法与最优控制器分析设计问题,自动化学报,4 (1964). [6] Hwang Ling,Generating element and controllability,Proceedings of the Bilateral Meeting on Control Systems(P.R.C.and U.S.A.),Science Press,Beijing(1982). [7] 黄琳,《控制与系统理论中的线性代数》,科学出版社,北京(1983). -
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