Barrier Function-Based SDRE Control for Nonlinear Systems with State Constraints

被引：0
|
作者：
Devi, P. L. [1 ]
Balakrishnan, S. N. [2 ]
Deniz, Meryem [1 ]
Fernandes, Arnold [3 ]
机构：
[1] Missouri Univ Sci & Technol, Aerosp Engn Mech & Aerosp Dept, Rolla, MO 65409 USA
[2] Missouri Univ Sci & Technol, Mech & Aerosp Dept, Rolla, MO 65409 USA
[3] Missouri Univ Sci & Technol, Elect Engn, ECE Dept, Rolla, MO 65409 USA
来源：
2021 AMERICAN CONTROL CONFERENCE (ACC) | 2021年
关键词：
SDRE; state constraint; barrier function; LYAPUNOV FUNCTION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Many real life systems operate in restricted state space. This study presents a new controller design technique for solving nonlinear regulator problems under the state dependent Riccati equation (SDRE) framework for systems with state constraints. A barrier function-based weighting matrix is designed to handle the state constraints. Stability analysis and constraint satisfaction are proved through Lyapunov analysis. The efficacy of the proposed method is demonstrated through a nonlinear benchmark problem and an application problem. The associated simulation results are also presented.
引用
收藏
页码：1070 / 1075
页数：6
相关论文
共 50 条
  • [1] Control of nonlinear systems under dynamic constraints: A unified barrier function-based approach
    Zhao, Kai
    Song, Yongduan
    Chen, C. L. Philip
    Chen, Long
    [J]. AUTOMATICA, 2020, 119
  • [2] Barrier Lyapunov function-based tracking control for stochastic nonlinear systems with full-state constraints and input saturation
    Min, Huifang
    Duan, Na
    Xu, Shengyuan
    Fei, Shumin
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (17): : 12414 - 12432
  • [3] Barrier Function-Based Asymptotic Tracking Control of Uncertain Nonlinear Systems With Multiple States Constraints
    Dong, Zhenle
    Ma, Jianwei
    Yao, Jianyong
    [J]. IEEE ACCESS, 2020, 8 : 14917 - 14927
  • [4] Control Lyapunov-Barrier function-based model predictive control of nonlinear systems
    Wu, Zhe
    Albalawi, Fahad
    Zhang, Zhihao
    Zhang, Junfeng
    Durand, Helen
    Christofides, Panagiotis D.
    [J]. AUTOMATICA, 2019, 109
  • [5] Control Lyapunov-Barrier Function-Based Model Predictive Control of Nonlinear Systems
    Wu, Zhe
    Albalawi, Fahad
    Zhang, Zhihao
    Zhang, Junfeng
    Durand, Helen
    Christofides, Panagiotis D.
    [J]. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 5920 - 5926
  • [6] Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
    Liu, Lei
    Liu, Yan-Jun
    Chen, Aiqing
    Tong, Shaocheng
    Chen, C. L. Philip
    [J]. Science China Information Sciences, 2020, 63 (03):
  • [7] Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
    Lei Liu
    Yan-Jun Liu
    Aiqing Chen
    Shaocheng Tong
    C. L. Philip Chen
    [J]. Science China Information Sciences, 2020, 63
  • [8] Barrier Lyapunov function-based integrated guidance and control with input saturation and state constraints
    Liu, Wangkui
    Wei, Yiyin
    Duan, Guangren
    [J]. AEROSPACE SCIENCE AND TECHNOLOGY, 2019, 84 : 845 - 855
  • [9] Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
    Lei LIU
    Yan-Jun LIU
    Aiqing CHEN
    Shaocheng TONG
    C.L.Philip CHEN
    [J]. Science China(Information Sciences), 2020, 63 (03) : 212 - 225
  • [10] Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
    Liu, Lei
    Liu, Yan-Jun
    Chen, Aiqing
    Tong, Shaocheng
    Chen, C. L. Philip
    [J]. SCIENCE CHINA-INFORMATION SCIENCES, 2020, 63 (03)
12345