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
  • [31] THE SUCCESSIVE APPROXIMATION PROCEDURE FOR FINITE-TIME OPTIMAL-CONTROL OF BILINEAR-SYSTEMS
    AGANOVIC, Z
    GAJIC, Z
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (09) : 1932 - 1935
  • [32] Optimal control for discrete time bilinear system with persistent disturbances
    Ma, Hui
    Tang, Gong-You
    Wang, Hai-Hong
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 963 - 967
  • [33] Constrained optimal control of bilinear systems: Application to an HVAC system
    El Boukhari, Nihale
    Zerrik, El Hassan
    2019 6TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT 2019), 2019, : 1301 - 1306
  • [34] DESIGN OF OPTIMAL-CONTROL FOR A CLASS OF BILINEAR-SYSTEMS
    KARULINA, NI
    AUTOMATION AND REMOTE CONTROL, 1987, 48 (09) : 1146 - 1150
  • [35] Optimal Risk-Sensitive Control for Bilinear Stochastic Systems
    Alcorta G, Ma. Aracelia
    Basin, Michael V.
    Anguiano R, Sonia G.
    2009 IEEE CONTROL APPLICATIONS CCA & INTELLIGENT CONTROL (ISIC), VOLS 1-3, 2009, : 274 - 278
  • [36] Bilinear Systems of the Optimal Tracking Control Based on the Feedback Linearization
    Gao, De-xin
    Yu, Yong-mao
    Du, Hou-peng
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 2435 - 2438
  • [37] OPTIMAL-CONTROL OF WEAKLY COUPLED BILINEAR-SYSTEMS
    AGANOVIC, Z
    GAJIC, Z
    AUTOMATICA, 1993, 29 (06) : 1591 - 1593
  • [38] Fuzzy optimal control for bilinear stochastic systems with fuzzy parameters
    Dabbous, TE
    DYNAMICS AND CONTROL, 2001, 11 (03) : 243 - 259
  • [39] FIXED-ENDPOINT OPTIMAL CONTROL OF BILINEAR ENSEMBLE SYSTEMS
    Wang, Shuo
    Li, Jr-Shin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2017, 55 (05) : 3039 - 3065
  • [40] OPTIMAL-CONTROL OF BILINEAR HEREDITARY-SYSTEMS OF THEIR APPLICATIONS
    KOLMANOVSKIJ, VB
    KOROLEVA, NI
    APPLIED MATHEMATICS LETTERS, 1991, 4 (02) : 1 - 3
12345