Dynamic programming for constrained optimal control of discrete-time linear hybrid systems

Francesco Borrelli; Mato Baotić; Alberto Bemporad; Manfred Morari

doi:10.1016/j.automatica.2005.04.017

Dynamic programming for constrained optimal control of discrete-time linear hybrid systems

Automatica ◽

10.1016/j.automatica.2005.04.017 ◽

2005 ◽

Vol 41 (10) ◽

pp. 1709-1721 ◽

Cited By ~ 246

Author(s):

Francesco Borrelli ◽

Mato Baotić ◽

Alberto Bemporad ◽

Manfred Morari

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Hybrid Systems ◽

Discrete Time ◽

Constrained Optimal Control ◽

Time Linear

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A general dynamic programming solution of discrete-time linear optimal control problems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1973.1100318 ◽

1973 ◽

Vol 18 (3) ◽

pp. 286-289 ◽

Cited By ~ 3

Author(s):

S. Dreyfus ◽

Y. Kan

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Discrete Time ◽

Optimal Control Problems ◽

Control Problems ◽

Linear Optimal Control Problems ◽

Programming Solution ◽

Time Linear ◽

Dynamic Programming Solution ◽

General Dynamic

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Adaptive dynamic programming for optimal control of discrete‐time nonlinear system with state constraints based on control barrier function

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5955 ◽

2021 ◽

Author(s):

Jiahui Xu ◽

Jingcheng Wang ◽

Jun Rao ◽

Yanjiu Zhong ◽

Hongyuan Wang

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Nonlinear System ◽

Discrete Time ◽

Barrier Function ◽

State Constraints ◽

Adaptive Dynamic Programming ◽

Adaptive Dynamic

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On the Optimal Control Law for Linear Discrete Time Hybrid Systems

Hybrid Systems: Computation and Control - Lecture Notes in Computer Science ◽

10.1007/3-540-45873-5_11 ◽

2002 ◽

pp. 105-119 ◽

Cited By ~ 34

Author(s):

Alberto Bemporad ◽

Francesco Borrelli ◽

Manfred Morari

Keyword(s):

Optimal Control ◽

Hybrid Systems ◽

Discrete Time ◽

Control Law

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The time-optimal control of discrete-time linear systems with bounded controls

AIChE Journal ◽

10.1002/aic.690120127 ◽

1966 ◽

Vol 12 (1) ◽

pp. 143-152 ◽

Cited By ~ 11

Author(s):

Herbert A. Lesser ◽

Leon Lapidus

Keyword(s):

Optimal Control ◽

Linear Systems ◽

Discrete Time ◽

Time Optimal Control ◽

Bounded Controls ◽

Time Optimal ◽

Time Linear

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Finite Abstractions of Discrete-time Linear Systems and Its Application to Optimal Control

IFAC Proceedings Volumes ◽

10.3182/20080706-5-kr-1001.01726 ◽

2008 ◽

Vol 41 (2) ◽

pp. 10201-10206 ◽

Cited By ~ 11

Author(s):

Yuichi Tazaki ◽

Jun-ichi Imura

Keyword(s):

Optimal Control ◽

Linear Systems ◽

Discrete Time ◽

Time Linear

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A New Self-Learning Optimal Control Scheme for Discrete-Time Nonlinear Systems Using Policy Iterative Adaptive Dynamic Programming

IFAC Proceedings Volumes ◽

10.3182/20130902-3-cn-3020.00120 ◽

2013 ◽

Vol 46 (20) ◽

pp. 580-585

Author(s):

Qinglai Wei ◽

Derong Liu

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Nonlinear Systems ◽

Discrete Time ◽

Adaptive Dynamic Programming ◽

Adaptive Dynamic ◽

Control Scheme ◽

Optimal Control Scheme ◽

Self Learning

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Optimal control for hybrid systems based on mixed dynamic programming

Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393) ◽

10.1109/wcica.2000.862442 ◽

2002 ◽

Cited By ~ 1

Author(s):

Haifeng Zhai ◽

Hongye Su ◽

Jian Chu ◽

Weimin Wu ◽

Haihong Wu

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Hybrid Systems

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The Optimal Control of Discrete-Time Delay Nonlinear System with Dual Heuristic Dynamic Programming

Neural Information Processing - Lecture Notes in Computer Science ◽

10.1007/978-3-642-34475-6_80 ◽

2012 ◽

pp. 664-672 ◽

Cited By ~ 1

Author(s):

Bin Wang ◽

Dongbin Zhao

Keyword(s):

Optimal Control ◽

Dynamic Programming ◽

Time Delay ◽

Nonlinear System ◽

Discrete Time ◽

Discrete Time Delay ◽

Heuristic Dynamic Programming

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Constrained Optimal Control of Linear and Hybrid Systems

10.1007/3-540-36225-8 ◽

2003 ◽

Cited By ~ 2

Keyword(s):

Optimal Control ◽

Hybrid Systems ◽

Constrained Optimal Control

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Adaptive Dynamic Programming-Based Robust Output Regulation of Discrete-Time Linear Systems via Output Feedback

10.1007/978-981-16-6324-6_30 ◽

2021 ◽

pp. 286-294

Author(s):

Qinlin Feng ◽

Youfeng Su

Keyword(s):

Dynamic Programming ◽

Linear Systems ◽

Discrete Time ◽

Output Feedback ◽

Output Regulation ◽

Adaptive Dynamic Programming ◽

Adaptive Dynamic ◽

Robust Output Regulation ◽

Time Linear

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