Optimal control approach for discontinuous dynamical systems

被引：2
|
作者：
Skandari, M. H. Noori [1 ]
Ghaznavi, M. [1 ]
机构：
[1] Shahrood Univ Technol, Fac Math Sci, Dept Appl Math, Shahrood, Iran
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2017年 / 38卷 / 06期
关键词：
discontinuous dynamical system; discretization method; optimal control problem; NONLINEAR OPTIMAL-CONTROL; SLIDING BIFURCATIONS; PARAMETERIZATION; UNIQUENESS; EXISTENCE; EQUATIONS; FEEDBACK;
D O I：
10.1002/oca.2306
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we consider a wide class of discontinuous dynamical systems, discontinuity of which is based on the sign (for short sgn) function. We propose a smooth optimal control problem to solve the main discontinuous system. By solving some numerical examples in mechanical engineering, we show the efficiency of our approach with respect to 2 smoothing methods for discontinuous systems.
引用
收藏
页码：1004 / 1013
页数：10
相关论文
共 50 条
  • [1] Discontinuous dynamical systems in optimal control theory
    Pukhlikov A.V.
    Computational Mathematics and Modeling, 2002, 13 (1) : 81 - 105
  • [2] A necessary condition for optimal control problem on a class of discontinuous dynamical systems
    Wu, Yuhu
    Shen, Tielong
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 1717 - 1722
  • [3] Analysis and control of discontinuous dynamical systems
    Shen Tielong
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 1, 2007, : 37 - 45
  • [4] Robust Adaptive Optimal Control for Unknown Dynamical Systems with Discontinuous Cost Function
    Sadamoto, Tomonori
    Yamakita, Masaki
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 1123 - 1128
  • [5] Fractional robust control design for fuzzy dynamical systems: An optimal approach
    Xu, Jinquan
    Chen, Ye-Hwa
    Guo, Hong
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (02) : 553 - 569
  • [6] A New Approach to Stable Optimal Control of Complex Nonlinear Dynamical Systems
    Udwadia, Firdaus E.
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2014, 81 (03):
  • [7] Optimal control of the SEIR epidemic model using a dynamical systems approach
    Takeguchi, Yoshiki
    Yagasaki, Kazuyuki
    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2024, 41 (01) : 297 - 316
  • [8] Optimal control of the SEIR epidemic model using a dynamical systems approach
    Yoshiki Takeguchi
    Kazuyuki Yagasaki
    Japan Journal of Industrial and Applied Mathematics, 2024, 41 : 297 - 316
  • [9] Discontinuous dynamical systems
    Cortés, Jorge
    IEEE Control Systems Magazine, 2008, 28 (03): : 36 - 73
  • [10] Optimal control of ensembles of dynamical systems
    Scagliotti, Alessandro
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, 29
12345