Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications

被引:1
|
作者
Zhou, Mi [1 ]
Verriest, Erik I. [1 ]
Guan, Yue [2 ]
Abdallah, Chaouki [1 ]
机构
[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
[2] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA USA
关键词
D O I
10.23919/ACC55779.2023.10156336
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 presents the jump law of co-states in optimal control for state-dependent switched systems. The number of switches and the switching modes are assumed to be known a priori. A proposed jump law is rigorously derived by theoretical analysis. An algorithm is then proposed to solve optimal control for state-dependent hybrid systems. Through numerical simulations, we further show that the proposed approach is more efficient than existing methods in solving optimal control for state-dependent switched systems.
引用
收藏
页码:3566 / 3571
页数:6
相关论文
共 50 条
  • [1] Optimal control for switched nonlinear systems with state-dependent switching
    Li, Huan
    Fu, Jun
    2020 CHINESE AUTOMATION CONGRESS (CAC 2020), 2020, : 5795 - 5800
  • [2] Optimal Control for State-Dependent Switched Time-Delayed Systems
    Verriest, Erik
    Zhou, Mi
    Abdallah, Chaouki
    IFAC PAPERSONLINE, 2022, 55 (36): : 85 - 90
  • [3] Numerical Solution to Optimal Control of Switched Systems with State-dependent Switchings
    Ji, Qin
    Song, Chunyue
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 2788 - 2793
  • [4] Numerical solution to optimal control of switched systems with state-dependent switchings
    Ji, Qin
    Song, Chunyue
    Proceedings of the World Congress on Intelligent Control and Automation (WCICA), 2012, : 2788 - 2793
  • [5] Optimal control of Goursat-Darboux systems with discontinuous co-state
    Belbas, S. A.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) : 101 - 116
  • [6] A new method for control of nonlinear state-dependent switched systems
    Khodadadi, Mohsen
    Markazi, Amir H. D.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2022, 45
  • [7] Stochastic $\mathcal {H}_{\infty }$H∞ control of state-dependent jump linear systems with state-dependent noise
    Chitraganti, Shaikshavali
    Aberkane, Samir
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (09): : 1291 - 1297
  • [8] A State-Dependent Switching Law to Quadratically Stabilise Switched Linear Systems
    Townsend, Christopher
    Seron, Maria
    De Dona, Jose
    2014 4TH AUSTRALIAN CONTROL CONFERENCE (AUCC), 2014, : 233 - 238
  • [9] OPTIMAL CONTROL OF SYSTEMS WITH STATE-DEPENDENT TIME DELAY
    ASHER, RB
    SEBESTA, HR
    INTERNATIONAL JOURNAL OF CONTROL, 1971, 14 (02) : 353 - &
  • [10] State and dynamic output feedback control of switched linear systems via a mixed time and state-dependent switching law
    Zhai, Ding
    Lu, An-Yang
    Li, Jing-Hao
    Zhang, Qing-Ling
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 : 228 - 248