Optimal Nonlinear Feedback Control Design Using a Waypoint Method

Rajnish Sharma; Srinivas R. Vadali; John E. Hurtado

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Optimal Nonlinear Feedback Control Design Using a Waypoint Method

机译：基于航点法的最优非线性反馈控制设计

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This paper discusses an innovative idea of blending the notion of a waypoint scheme with a series solution method developed by the authors for solving the Hamilton-Jacobi-Bellman equation in the context of designing optimal feedback control laws for nonlinear dynamic systems subject to terminal constraints. The overall time interval of the given problem is partitioned into smaller segments, and the series solution method is applied within each segment using stored gains that are computed from one segment only. The methodology is applied to highly nonlinear systems including a minimum orbit transfer problem. Several examples are demonstrated, and the results are compared with the corresponding open-loop solutions to demonstrate the efficacy of the proposed method.

机译：本文讨论了将路点方案的概念与作者开发的用于解决Hamilton-Jacobi-Bellman方程的串联求解方法相结合的创新思想，该方法是为受终端约束的非线性动态系统设计最优反馈控制律。将给定问题的整个时间间隔划分为较小的段，然后使用仅从一个段计算出的存储增益，在每个段内应用级数求解方法。该方法适用于高度非线性的系统，其中包括最小轨道转移问题。演示了几个示例，并将结果与相应的开环解决方案进行了比较，以证明所提出方法的有效性。

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《Journal of guidance, control, and dynamics》 |2011年第3期|p.698-705|共8页
作者
Rajnish Sharma; Srinivas R. Vadali; John E. Hurtado;
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University of Alabama, Tuscaloosa, Alabama 35487,Aerospace Engineering and Mechanics Department;

Texas A&M University, College Station, Texas 77843,Department of Aerospace Engineering3141 TAMU;

Texas A&M University, College Station, Texas 77843,Department of Aerospace Engineering3141 TAMU;

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1. Optimal Nonlinear Feedback Control Design Using a Waypoint Method [J] . Rajnish Sharma, Srinivas R. Vadali, John E. Hurtado Journal of Guidance, Control, and Dynamics . 2011,第3期

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8. A Systematic Nonlinear State Feedback Suboptimal Control Design for a Class of Nonlinear Systems. [R] . yong,angelo augusto 1975

机译：一类非线性系统的系统非线性状态反馈次优控制设计。

Optimal Nonlinear Feedback Control Design Using a Waypoint Method

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