Online Optimal Control of Continuous-Time Affine Nonlinear Systems

Adaptive Dynamic Programming with Applications in Optimal Control - Advances in Industrial Control ◽

10.1007/978-3-319-50815-3_7 ◽

2017 ◽

pp. 267-307

Author(s):

Derong Liu ◽

Qinglai Wei ◽

Ding Wang ◽

Xiong Yang ◽

Hongliang Li

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Continuous Time ◽

Affine Nonlinear Systems

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Adaptive optimal control for a class of continuous-time affine nonlinear systems with unknown internal dynamics

Neural Computing and Applications ◽

10.1007/s00521-012-1249-y ◽

2012 ◽

Vol 23 (7-8) ◽

pp. 1843-1850 ◽

Cited By ~ 49

Author(s):

Derong Liu ◽

Xiong Yang ◽

Hongliang Li

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Continuous Time ◽

Internal Dynamics ◽

Adaptive Optimal Control ◽

Affine Nonlinear Systems

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Two‐loop reinforcement learning algorithm for finite‐horizon optimal control of continuous‐time affine nonlinear systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5826 ◽

2021 ◽

Author(s):

Zhe Chen ◽

Wenqian Xue ◽

Ning Li ◽

Frank L. Lewis

Keyword(s):

Optimal Control ◽

Reinforcement Learning ◽

Nonlinear Systems ◽

Continuous Time ◽

Learning Algorithm ◽

Finite Horizon ◽

Affine Nonlinear Systems ◽

Reinforcement Learning Algorithm

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Data-based robust optimal control of continuous-time affine nonlinear systems with matched uncertainties

Information Sciences ◽

10.1016/j.ins.2016.05.034 ◽

2016 ◽

Vol 366 ◽

pp. 121-133 ◽

Cited By ~ 34

Author(s):

Ding Wang ◽

Chao Li ◽

Derong Liu ◽

Chaoxu Mu

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Continuous Time ◽

Robust Optimal Control ◽

Affine Nonlinear Systems

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Reinforcement Learning and Adaptive Optimal Control for Continuous-Time Nonlinear Systems: A Value Iteration Approach

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2020.3045087 ◽

2021 ◽

pp. 1-10

Author(s):

Tao Bian ◽

Zhong-Ping Jiang

Keyword(s):

Optimal Control ◽

Reinforcement Learning ◽

Nonlinear Systems ◽

Continuous Time ◽

Value Iteration ◽

Adaptive Optimal Control ◽

A Value

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HIGHER ORDER SLIDING MODE CONTROL FOR CONTINUOUS TIME NONLINEAR SYSTEMS BASED ON OPTIMAL CONTROL

Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics ◽

10.5220/0002168100540059 ◽

2009 ◽

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Sliding Mode Control ◽

Continuous Time ◽

Sliding Mode ◽

Higher Order ◽

Mode Control

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Approximate Finite-Horizon Optimal Control for Input-Affine Nonlinear Systems with Input Constraints

IFAC Proceedings Volumes ◽

10.3182/20130904-3-fr-2041.00037 ◽

2013 ◽

Vol 46 (23) ◽

pp. 199-204

Author(s):

G. Scarciotti ◽

A. Astolfi

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Finite Horizon ◽

Input Constraints ◽

Affine Nonlinear Systems

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Indirect adaptive fuzzy-regulated optimal control for unknown continuous-time nonlinear systems

Frontiers of Information Technology & Electronic Engineering ◽

10.1631/fitee.1900610 ◽

2021 ◽

Author(s):

Haiyun Zhang ◽

Deyuan Meng ◽

Jin Wang ◽

Guodong Lu

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Continuous Time ◽

Adaptive Fuzzy

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Finite-horizon optimal control for continuous-time uncertain nonlinear systems using reinforcement learning

International Journal of Systems Science ◽

10.1080/00207721.2020.1797223 ◽

2020 ◽

Vol 51 (13) ◽

pp. 2429-2440

Author(s):

Jingang Zhao ◽

Minggang Gan

Keyword(s):

Optimal Control ◽

Reinforcement Learning ◽

Nonlinear Systems ◽

Continuous Time ◽

Finite Horizon ◽

Uncertain Nonlinear Systems

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Finite time inverse optimal control of affine nonlinear systems

2012 24th Chinese Control and Decision Conference (CCDC) ◽

10.1109/ccdc.2012.6243041 ◽

2012 ◽

Author(s):

Xiushan Cai

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Finite Time ◽

Inverse Optimal Control ◽

Affine Nonlinear Systems

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Extended Finite Time Inverse Optimal Control of Nonlinear Systems

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.403-408.1499 ◽

2011 ◽

Vol 403-408 ◽

pp. 1499-1502

Author(s):

Xin Jun Ren ◽

Yan Jun Shen

Keyword(s):

Optimal Control ◽

Nonlinear Systems ◽

Finite Time ◽

Lyapunov Functions ◽

Control Law ◽

Inverse Optimal Control ◽

Closed Loop System ◽

Affine Nonlinear Systems ◽

Definition Of ◽

The Cost

In this paper, we use the definition of control Lyapunov functions to study finite time inverse optimal control for affine nonlinear systems. Based on control Lyapunov functions, a finite time universal control formula is presented, which can ensure the closed-loop system is finite time stable. From this, less conservative conditions for the finite time inverse optimal control are derived. We design a finite time inverse optimal control law, which minimizes the cost functional. A numerical example verifies the validity of the proposed method.

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