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
  • [11] OPTIMAL DIGITAL FEEDBACK-CONTROL SYSTEMS COUNTING COMPUTATION TIME OF CONTROL LAWS
    MITA, T
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (06) : 542 - 548
  • [12] Optimal Disturbance Rejection Control of a Class of Uncertain Bilinear Systems with Time-delay
    Gao De-xin
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 4548 - 4552
  • [13] The Successive Approximation Procedure for Finite-Time Optimal Control of Bilinear Systems with Disturbances
    Gao, De-xin
    Yang, Pei-pei
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 3560 - 3564
  • [14] Successive-approximation approach of optimal control for bilinear discrete-time systems
    Tang, GY
    Ma, H
    Zhang, BL
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2005, 152 (06): : 639 - 644
  • [15] OPTIMAL-CONTROL OF BILINEAR SYSTEMS - TIME-VARYING EFFECTS OF CANCER DRUGS
    BIRAN, Y
    MCINNIS, B
    AUTOMATICA, 1979, 15 (03) : 325 - 329
  • [16] No-Time-Delay Optimal Disturbances Rejection Control of Time-Delay Bilinear Systems with Disturbances
    Gao De-xin
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2201 - 2204
  • [17] SYNTHESIS OF TIME-OPTIMAL CONTROL OF A BILINEAR SYSTEM
    KOLBE, O
    RUF, WD
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1980, 60 (7BIS): : T351 - T353
  • [18] Optimal control of bilinear systems in a complex space setting
    Aronna, M. S.
    Bonnans, J. F.
    Kroner, A.
    IFAC PAPERSONLINE, 2017, 50 (01): : 2872 - 2877
  • [19] Data-Driven Optimal Control of Bilinear Systems
    Yuan, Zhenyi
    Cortes, Jorge
    IEEE CONTROL SYSTEMS LETTERS, 2022, 6 (2479-2484): : 2479 - 2484
  • [20] OPTIMAL FEEDBACK-CONTROL OF BILINEAR-SYSTEMS
    RYAN, EP
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1984, 44 (02) : 333 - 362
12345