Constructive methods of control optimization in nonlinear systems

被引：0
|
作者：
A. I. Tyatyushkin
O. V. Morzhin
机构：
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
[2] Buryat State University,undefined
来源：
Automation and Remote Control | 2009年 / 70卷
关键词：
02.30.Yy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper investigates methods of optimal program and point-to-point control in nonlinear differential systems. The proposed methods are based on the idea of discretizing the continuous-time problem. In case of program control, the method of projected Lagrangian is used, which involves solution of an auxiliary problem with linearized constraints by the reduced gradient method; in case of point-to-point control, Bellman’s optimality principle is employed for a “grid” over an approximating solvability tube of the system for a specified goal set with approximation of the point-to-point control by families of controlling function or parameters. An example is given, where the optimal point-to-point control is calculated for a model of maneuvering aircraft.
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页码：772 / 786
页数：14
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