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Parallel control-based event-driven approximate optimal control of discrete-time nonlinear systems
- Chinese Journal of Intelligent Science and Technology Vol. 3, Issue 4, Pages: 435-443(2021)
- 作者机构：
1. 中国科学院自动化研究所复杂系统管理与控制国家重点实验室，北京 100190
2. 中国科学院大学人工智能学院，北京 100049
3. 天津大学智能电网教育部重点实验室，天津300072
- 作者简介：
- 基金信息：
DOI：10.11959/j.issn.2096-6652.202142
CLC： TP273-
Published Online：2021-12，
Published：15 December 2021
- 稿件说明：
移动端阅览
Zehua LIAO, Ziyu LIANG, Tianmin ZHOU, et al. Parallel control-based event-driven approximate optimal control of discrete-time nonlinear systems[J]. Chinese journal of intelligent science and technology, 2021, 3(4): 435-443.
Zehua LIAO, Ziyu LIANG, Tianmin ZHOU, et al. Parallel control-based event-driven approximate optimal control of discrete-time nonlinear systems[J]. Chinese journal of intelligent science and technology, 2021, 3(4): 435-443. DOI： 10.11959/j.issn.2096-6652.202142.
摘要
针对离散非线性系统提出了一种基于平行控制的事件触发近似最优控制方法。首先，基于时间触发的最优值函数和最优控制律，提出了一种新型的触发条件，并基于李雅普诺夫方法证明了闭环系统的渐近稳定性。其次，为了实施设计的触发条件，提出了一种采用神经网络和自适应动态规划技术的平行控制方法，以预测系统的下一步状态，并获得最优值函数和最优控制律。最后，通过仿真实验验证了所提方法的有效性。
Abstract
A parallel control-based event-driven approximate optimal control method was proposed for discrete-time nonlinear systems.Firstly
based on the time-triggered optimal value function and optimal control law
a novel triggering condition was developed and the asymptotic stability of the closed-loop system was proved based on the Lyapunov method.Secondly
a parallel control method using neural networks and adaptive dynamic programming techniques was proposed to predict the next state of the system and to obtain the optimal value function and control law.Finally
the effectiveness of the developed method was validated by numerical examples.
关键词
Keywords
references
SUTTON R S , BARTO A G . Reinforcement learning:an introduction,2nd edition [M ] . Cambridge : MIT Press , 2018 .
卢经纬 , 张臻 , 梁宇坤 , 等 . 具有尾缘襟翼风力机的恒功率反步法控制 [J ] . 控制理论与应用 , 2017 , 34 ( 1 ): 61 - 68 .
LU J W , ZHANG Z , LIANG Y K , et al . Backstepping control of constant power for wind turbines with trailing edge flaps [J ] . Control Theory ＆ Applications , 2017 , 34 ( 1 ): 61 - 68 .
张玉振 , 李擎 , 张维存 , 等 . 多模型自适应控制理论及应用 [J ] . 工程科学学报 , 2020 , 42 ( 2 ): 135 - 143 .
ZHANG Y Z , LI Q , ZHANG W C , et al . Survey of multi-model adaptive control theory and its applications [J ] . Chinese Journal of Engineering , 2020 , 42 ( 2 ): 135 - 143 .
王飞跃 . 平行控制与数字孪生:经典控制理论的回顾与重铸 [J ] . 智能科学与技术学报 , 2020 , 2 ( 3 ): 293 - 300 .
WANG F Y . Parallel control and digital twins:control theory revisited and reshaped [J ] . Chinese Journal of Intelligent Science and Technology , 2020 , 2 ( 3 ): 293 - 300 .
李涛 , 魏庆来 . 基于深度强化学习的智能暖气温度控制系统 [J ] . 智能科学与技术学报 , 2020 , 2 ( 4 ): 348 - 353 .
LI T , WEI Q L . Intelligent heating temperature control system based on deep reinforcement learning [J ] . Chinese Journal of Intelligent Science and Technology , 2020 , 2 ( 4 ): 348 - 353 .
LU J W , ZHANG Z , ZHOU K M , et al . Modeling and single neuron adaptive PID control of flexible piezoelectric cantilever beam [C ] // Proceedings of 2016 35th Chinese Control Conference . Piscataway:IEEE Press , 2016 : 957 - 962 .
王飞跃 . 平行系统方法与复杂系统的管理和控制 [J ] . 控制与决策 , 2004 , 19 ( 5 ): 485 - 489 , 514 .
WANG F Y . Parallel system methods for management and control of complex systems [J ] . Control and Decision , 2004 , 19 ( 5 ): 485 - 489 , 514 .
WEI Q L , LI H Y , WANG F Y . Parallel control for continuous-time linear systems:a case study [J ] . IEEE/CAA Journal of AutomaticaSinica , 2020 , 7 ( 4 ): 919 - 928 .
LU J W , WEI Q L , WANG F Y . Parallel control for optimal tracking via adaptive dynamic programming [J ] . IEEE/CAA Journal of Automatica Sinica , 2020 , 7 ( 6 ): 1662 - 1674 .
WANG F Y , ZHANG H G , LIU D R . Adaptive dynamic programming:an introduction [J ] . IEEE Computational Intelligence Magazine , 2009 , 4 ( 2 ): 39 - 47 .
王飞跃 , 陈俊龙 . 智能控制方法与应用 [M ] . 北京 : 中国科学技术出版社 , 2020 .
WANG F Y , CHEN J L . Intelligent control method and application [M ] . Beijing : Science and Technology of China Press , 2020 .
ZHOU T M , JIA C , LI H D . Optimal trade execution under jump diffusion process:a mean-VaR approach [J ] . Discrete Dynamics in Nature and Society , 2018 , 2018 : 1 - 11 .
WEI Q L , LIAO Z H , YANG Z Y , et al . Continuous-time time-varying policy iteration [J ] . IEEE Transactions on Cybernetics , 2020 , 50 ( 12 ): 4958 - 4971 .
WEI Q L , LIAO Z H , SONG R Z , et al . Self-learning optimal control for ice-storage air conditioning systems via data-based adaptive dynamic programming [J ] . IEEE Transactions on Industrial Electronics , 2021 , 68 ( 4 ): 3599 - 3608 .
AL-TAMIMI A , LEWIS F L , ABU-KHALAF M , . Discrete-time nonlinear HJB solution using approximate dynamic programming:convergence proof [J ] . IEEE Transactions on Systems,Man,and Cybernetics,Part B (Cybernetics) , 2008 , 38 ( 4 ): 943 - 949 .
LIU D R , WEI Q L . Policy iteration adaptive dynamic programming algorithm for discrete-time nonlinear systems [J ] . IEEE Transactions on Neural Networks and Learning Systems , 2014 , 25 ( 3 ): 621 - 634 .
WEI Q L , LIU D R , LIN H Q . Value iteration adaptive dynamic programming for optimal control of discrete-time nonlinear systems [J ] . IEEE Transactions on Cybernetics , 2016 , 46 ( 3 ): 840 - 853 .
WU Z Y , MO H D , XIONG J L , et al . Adaptive event-triggered observer-based output feedback L ∞ load frequency control for networked power systems [J ] . IEEE Transactions on Industrial Informatics , 2020 , 16 ( 6 ): 3952 - 3962 .
LU J W , WEI Q L , LIU Y J , et al . Event-triggered optimal parallel tracking control for discrete-time nonlinear systems [J ] . IEEE Transactions on Systems,Man,and Cybernetics:Systems , 2021 , 3429 ( 99 ): 1 - 13 .
VAMVOUDAKIS K G , FERRAZ H . Model-free event-triggered control algorithm for continuous-time linear systems with optimal performance [J ] . Automatica , 2018 , 87 : 412 - 420 .
WANG D , HA M M , QIAO J F . Self-learning optimal regulation for discrete-time nonlinear systems under event-driven formulation [J ] . IEEE Transactions on Automatic Control , 2020 , 65 ( 3 ): 1272 - 1279 .
ZHAO B , LIU D R . Event-triggered decentralized tracking control of modular reconfigurable robots through adaptive dynamic programming [J ] . IEEE Transactions on Industrial Electronics , 2020 , 67 ( 4 ): 3054 - 3064 .
LUO B , YANG Y , LIU D R , et al . Event-triggered optimal control with performance guarantees using adaptive dynamic programming [J ] . IEEE Transactions on Neural Networks and Learning Systems , 2020 , 31 ( 1 ): 76 - 88 .
YANG X , WEI Q L . Adaptive critic designs for optimal event-driven control of a CSTR system [J ] . IEEE Transactions on Industrial Informatics , 2021 , 17 ( 1 ): 484 - 493 .
MU C X , WANG K , SUN C Y . Learning control supported by dynamic event communication applying to industrial systems [J ] . IEEE Transactions on Industrial Informatics , 2021 , 17 ( 4 ): 2325 - 2335 .
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