Optimal control of hybrid switched systems: A brief survey

被引：144
作者：
Zhu, Feng [1 ]
Antsaklis, Panos J. [1 ]
机构：
[1] Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
来源：
DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS | 2015年 / 25卷 / 03期
基金：
美国国家科学基金会;
关键词：
Hybrid systems; Switched systems; Optimal control; Survey; OPTIMAL TIMING CONTROL; TRANSITION-TIME OPTIMIZATION; CONSTRAINED OPTIMAL-CONTROL; PIECEWISE AFFINE SYSTEMS; OPTIMAL-CONTROL LAW; LINEAR-SYSTEMS; EFFICIENT ALGORITHM; STABILITY; LOCATION;
D O I：
10.1007/s10626-014-0187-5
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 surveys recent results in the field of optimal control of hybrid and switched systems. We first summarize results that use different problem formulations and then explore the underlying relations among them. Specifically, based on the type of switching, we focus on two important classes of problems: internally forced switching (IFS) problems and externally forced switching (EFS) problems. For IFS problems, we focus on optimal control techniques for piecewise affine systems. For EFS problems, methodologies of two-stage optimization, embedding transformation and switching LQR design are investigated. Detailed optimization methods found in the literature are discussed.
引用
收藏
页码：345 / 364
页数：20
相关论文
共 50 条
  • [21] Prescribed-Time Optimal Control for a Class of Switched Nonlinear Systems
    Zhang, Yan
    Xiang, Zhengrong
    [J]. IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2025, 22 : 3033 - 3043
  • [22] Prescribed-Time Optimal Control for a Class of Switched Nonlinear Systems
    Zhang, Yan
    Xiang, Zhengrong
    [J]. IEEE TRANSACTIONS ON AUTOMATION SCIENCE AND ENGINEERING, 2025, 22 : 3033 - 3043
  • [23] Sensitivity Analysis of Optimal Control Problems for Switched Systems
    Liu, Jinjin
    Zhang, Kanjian
    Liu, Xiaomei
    Wei, Haikun
    [J]. 26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 3156 - 3161
  • [24] A polynomial approach for optimal control of switched nonlinear systems
    Mojica-Nava, Eduardo
    Quijano, Nicanor
    Rakoto-Ravalontsalama, Naly
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2014, 24 (12) : 1797 - 1808
  • [25] On weak topology for optimal control of switched nonlinear systems
    Chen, Hua
    Zhang, Wei
    [J]. AUTOMATICA, 2017, 81 : 409 - 415
  • [26] An optimal control approach for hybrid systems
    Riedinger, P
    Iung, C
    Kratz, F
    [J]. EUROPEAN JOURNAL OF CONTROL, 2003, 9 (05) : 449 - 458
  • [27] Convexity of the cost functional in an optimal control problem for a class of positive switched systems
    Colaneri, Patrizio
    Middleton, Richard H.
    Chen, Zhiyong
    Caporale, Danilo
    Blanchini, Franco
    [J]. AUTOMATICA, 2014, 50 (04) : 1227 - 1234
  • [28] Stability criteria for switched and hybrid systems
    Shorten, Robert
    Wirth, Fabian
    Mason, Oliver
    Wulff, Kai
    King, Christopher
    [J]. SIAM REVIEW, 2007, 49 (04) : 545 - 592
  • [29] Constrained optimal control of hybrid systems with a linear performance index
    Baotic, Mato
    Christophersen, Frank J.
    Morari, Manfred
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (12) : 1903 - 1919
  • [30] Data-driven optimal switching and control of switched systems
    Zhang, Chi
    Gan, Minggang
    Xue, Chenchen
    [J]. CONTROL THEORY AND TECHNOLOGY, 2021, 19 (03) : 299 - 314
12345