State-feedback optimal controllers for deterministic nonlinear systems

被引：2
|
作者：
Won, CH [1 ]
机构：
[1] Univ N Dakota, Dept Elect Engn, Grand Forks, ND 58202 USA
来源：
ACC: Proceedings of the 2005 American Control Conference, Vols 1-7 | 2005年
关键词：
D O I：
10.1109/ACC.2005.1470067
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A full-state feedback optimal control problem is solved for a general deterministic nonlinear system. The solution method is based on transforming Hamilton-jacobi equation into an algebraic equation using the pseudo-inverse. Then we interpret the value function in terms of the control Lyapunov function and provide the stabilizing controller and the stability margins. We also derive an optimal controller for a nonlinear system which requires a solution of the state dependent Riccati equation. Simple examples demonstrate each method.
引用
收藏
页码：858 / 863
页数：6
相关论文
共 50 条
  • [41] State-feedback Abstractions for Optimal Control of Piecewise-affine Systems
    Egidio, Lucas N.
    Lima, Thiago Alves
    Jungers, Raphael M.
    2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 7455 - 7460
  • [42] State-Feedback Control for a Class of Nonlinear Systems with iISS Unmodeled Dynamics
    Xie, Xue-Jun
    Yu, Xin
    Duan, Na
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1639 - +
  • [43] OPTIMAL POLE-PLACEMENT FOR STATE-FEEDBACK SYSTEMS POSSESSING INTEGRITY
    SHIEH, LS
    DIB, HM
    GANESAN, S
    YATES, RE
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (08) : 1419 - 1435
  • [44] Sensitivity-Based Iterative State-Feedback Tuning for Nonlinear Systems
    Wache, Alexander
    Aschemann, Harald
    2022 26TH INTERNATIONAL CONFERENCE ON SYSTEM THEORY, CONTROL AND COMPUTING (ICSTCC), 2022, : 472 - 477
  • [45] DESIGN OF HIGH-GAIN STATE-FEEDBACK CONTROLLERS FOR LINEAR-MULTIVARIABLE SYSTEMS
    PORTER, B
    ELECTRONICS LETTERS, 1978, 14 (08) : 256 - 258
  • [46] Adaptive Fuzzy State-feedback Control for a Class of Multivariable Nonlinear Systems
    Merazka, Loubna
    Boulkroune, Abdesselem
    PROCEEDINGS OF 2016 8TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION & CONTROL (ICMIC 2016), 2016, : 925 - 931
  • [47] OPTIMAL LIMITED STATE VARIABLE FEEDBACK CONTROLLERS FOR LINEAR SYSTEMS
    LEVINE, WS
    JOHNSON, TL
    ATHANS, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (06) : 785 - &
  • [48] Prescribed-time state-feedback stabilization of nonlinear systems with unmatched nonlinear terms
    Min, Huifang
    Wei, Zhicheng
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2024, 46 (10) : 2013 - 2023
  • [49] On the state-feedback stabilisation of compartmental systems
    Valcher, Maria Elena
    Zorzan, Irene
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [50] State-feedback control for full-state constrained nonlinear systems in a prescribed time
    Min, Huifang
    Shi, Shang
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (13):
12345