Optimal Control with Terminal State Constraints for Multichannel Input Linear Systems

被引：2

作者：

Sun, Qichao ^{[1
]}

Xu, Juanjuan ^{[1
]}

Zhang, Huanshui ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2022年 / 20卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Game theory; linear quadratic control; stackelberg strategy; terminal state constraints; NONLINEAR-SYSTEMS; REGULATOR;

D O I：

10.1007/s12555-020-0763-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the linear quadratic (LQ) control problem with multiple input channels and terminal state constraints. The problem can be solved by augmenting all the inputs into one. However, the calculation will be much more involved especially for the case with large scale of inputs. To overcome this complexity, we adopt a leader-follower game theory approach. The optimal controller is obtained in the feedback of the state in terms of Riccati equations. A numerical example is provided to demonstrate the effectiveness of the derived result.

引用

页码：3456 / 3463

页数：8

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