Time Optimal Control Laws for Bilinear Systems

被引：9
|
作者：
Bichiou, Salim [1 ]
Bouafoura, Mohamed Karim [1 ]
Braiek, Naceur Benhadj [1 ]
机构：
[1] Univ Carthage, Tunisia Polytech Sch EPT, Adv Syst Lab LSA, BP 743, La Marsa 2078, Tunisia
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2018年 / 2018卷
关键词：
IDENTIFICATION; DESIGN;
D O I：
10.1155/2018/5217427
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of this paper is to determine the feedforward and state feedback suboptimal time control for a subset of bilinear systems, namely, the control sequence and reaching time. This paper proposes a method that uses Block pulse functions as an orthogonal base. The bilinear system is projected along that base. The mathematical integration is transformed into a product of matrices. An algebraic system of equations is obtained. This system together with specified constraints is treated as an optimization problem. The parameters to determine are the final time, the control sequence, and the states trajectories. The obtained results via the newly proposed method are compared to known analytical solutions.
引用
下载
收藏
页数：10
相关论文
共 50 条
  • [1] Feedback Linearization Optimal Control for Bilinear Systems with Time-Delay in Control Input
    Gao, Dexin
    PROCEEDINGS OF 2013 CHINESE INTELLIGENT AUTOMATION CONFERENCE: INTELLIGENT AUTOMATION & INTELLIGENT TECHNOLOGY AND SYSTEMS, 2013, 255 : 19 - 27
  • [2] Finite time optimal control for the bilinear systems by using the successive approximation method
    Kim, BS
    Lim, MT
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3184 - 3189
  • [3] Optimal output tracking control for bilinear systems
    Tang, Gong-You
    Zhao, Yan-Dong
    Ma, Hui
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2006, 28 (04) : 387 - 397
  • [4] Regional optimal control of a class of bilinear systems
    Zerrik, El Hassan
    El Kabouss, Abella
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (04) : 1157 - 1175
  • [5] Online Adaptive Optimal Control for Bilinear Systems
    Luo, Biao
    Wu, Huai-Ning
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 5507 - 5512
  • [6] Optimal control of discrete-time bilinear systems with applications to switched linear stochastic systems
    Huang, Ran
    Zhang, Jinhui
    Lin, Zhongwei
    SYSTEMS & CONTROL LETTERS, 2016, 94 : 165 - 171
  • [7] Time-optimal Control for Bilinear Nonnegative-in-control Systems: Application to Magnetic Manipulation
    Zemanek, Jiri
    Celikovsky, Sergej
    Hurak, Zdenek
    IFAC PAPERSONLINE, 2017, 50 (01): : 16032 - 16039
  • [8] Optimal control of discrete-time bilinear systems with applications to switched linear stochastic systems
    Huang, Ran
    Zhang, Jinhui
    Lin, Zhongwei
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2268 - 2273
  • [9] Optimal robust control laws of linear continuous-time systems
    Kogan, MM
    DOKLADY AKADEMII NAUK, 1998, 362 (02) : 178 - 180
  • [10] Periodic control laws for bilinear quantum systems with discrete spectrum
    Boussaid, Nabile
    Caponigro, Marco
    Chambrion, Thomas
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 5819 - 5824
12345