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
  • [11] OPTIMAL IMPULSE CONTROL OF DYNAMICAL SYSTEMS
    Piunovskiy, Alexey
    Plakhov, Alexander
    Torres, Delfim F. M.
    Zhang, Yi
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (04) : 2720 - 2752
  • [12] Optimal control of systems with discontinuous differential equations
    David E. Stewart
    Mihai Anitescu
    Numerische Mathematik, 2010, 114 : 653 - 695
  • [13] Optimal control of systems with discontinuous differential equations
    Stewart, David E.
    Anitescu, Mihai
    NUMERISCHE MATHEMATIK, 2010, 114 (04) : 653 - 695
  • [14] Optimal control of invasive species through a dynamical systems approach<bold> </bold>
    Baker, Christopher M.
    Diele, Fasma
    Lacitignola, Deborah
    Marangi, Carmela
    Martiradonna, Angela
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 49 : 45 - 70
  • [15] Optimal stable control for nonlinear dynamical systems: an analytical dynamics based approach
    Udwadia, Firdaus E.
    Koganti, Prasanth B.
    NONLINEAR DYNAMICS, 2015, 82 (1-2) : 547 - 562
  • [16] Optimal stable control for nonlinear dynamical systems: an analytical dynamics based approach
    Firdaus E. Udwadia
    Prasanth B. Koganti
    Nonlinear Dynamics, 2015, 82 : 547 - 562
  • [17] A Dynamical Discontinuous Control Approach for Inverse Response Chemical Processes
    Asimbaya, Estefania
    Cabrera, Henry
    Camacho, Oscar
    Chavez, Danilo
    Leica, Paulo
    2017 IEEE 3RD COLOMBIAN CONFERENCE ON AUTOMATIC CONTROL (CCAC), 2017,
  • [18] DYNAMICAL DISCONTINUOUS FEEDBACK-CONTROL OF NONLINEAR-SYSTEMS
    SIRARAMIREZ, H
    LISCHINSKYARENAS, P
    PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 787 - 792
  • [19] The Optimal Control Approach to Dynamical Inverse Problems
    Steiner, Wolfgang
    Reichl, Stefan
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2012, 134 (02):
  • [20] OPTIMAL CONTROL OF STOCHASTIC DYNAMICAL-SYSTEMS
    AHMED, NU
    INFORMATION AND CONTROL, 1973, 22 (01): : 13 - 30
12345