Optimization of Measure-Driven Hybrid Systems

被引:16
|
作者
Goncharova, Elena [1 ]
Staritsyn, Maxim [1 ]
机构
[1] Russian Acad Sci, Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk 664003, Russia
基金
俄罗斯基础研究基金会;
关键词
Optimal impulsive control; Measure-driven systems; Mixed constraints; Hybrid systems; Time reparameterization technique; Maximum principle; IMPULSIVE CONTROL-PROBLEMS; MAXIMUM PRINCIPLE;
D O I
10.1007/s10957-011-9944-x
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We study an optimal control problem for a state-dependent impulse system described by a measure differential equation. A specific time reparameterization technique is developed to reduce the impulsive control problem to the one with bounded controls. Necessary conditions of optimality are obtained by interpreting the Maximum Principle in the reduced problem. An impulsive control improvement scheme is outlined. The results of numeric simulation are presented.
引用
收藏
页码:139 / 156
页数:18
相关论文
共 50 条
  • [41] A Hybrid Approach to the Optimization of Multiechelon Systems
    Sitek, Pawel
    Wikarek, Jaroslaw
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [42] Hybrid systems: Modeling, simulation and optimization
    Turkay, Metin
    Karasozen, Bulent
    Biegler, Lorenz T.
    McAvoy, Thomas J.
    JOURNAL OF PROCESS CONTROL, 2009, 19 (08) : 1217 - 1217
  • [43] Optimization of hybrid ethanol dehydration systems
    Szitkai, Z
    Lelkes, Z
    Rev, E
    Fonyo, Z
    CHEMICAL ENGINEERING AND PROCESSING-PROCESS INTENSIFICATION, 2002, 41 (07) : 631 - 646
  • [44] Measure synchronization in hybrid quantum-classical systems
    Qiu, Haibo
    Dong, Yuanjie
    Zhang, Huangli
    Tian, Jing
    CHINESE PHYSICS B, 2022, 31 (12)
  • [45] Performance Optimization of Manufacturing Systems: an hybrid systems approach
    Balduzzi, F
    Ghirardi, M
    Menga, G
    2004 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION, VOLS 1- 5, PROCEEDINGS, 2004, : 2255 - 2260
  • [46] A Hybrid Global Optimization Algorithm Based on Wind Driven Optimization and Differential Evolution
    Bao, Zongfan
    Zhou, Yongquan
    Li, Liangliang
    Ma, Mingzhi
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [47] Safety Driven Optimization Approach for Automotive Systems
    Dhouibi, Mohamed Slim
    Saintis, Laurent
    Barreau, Mihaela
    Perquis, Jean-Marc
    2015 61ST ANNUAL RELIABILITY AND MAINTAINABILITY SYMPOSIUM (RAMS 2015), 2015,
  • [48] Reachable set approximation for measure driven dynamic control systems
    Goncharova, E
    Baturin, V
    Sousa, J
    Pereira, F
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2403 - 2408
  • [49] Event-driven optimization-based control of hybrid systems with integral continuous-time dynamics
    Di Cairano, S.
    Bemporad, A.
    Julvez, J.
    AUTOMATICA, 2009, 45 (05) : 1243 - 1251
  • [50] Hybrid Algorithm-Driven Smart Logistics Optimization in IoT-Based Cyber-Physical Systems
    Almazroi, Abdulwahab Ali
    Ayub, Nasir
    CMC-COMPUTERS MATERIALS & CONTINUA, 2023, 77 (03): : 3921 - 3942