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Geological and Mining Engineering

Geological and Mining Engineering (GME), published by Scineer Publishing PTE. LTD, is an open-access journal. GME is devoted to publish geological and mining engineering related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on geological and mining engineering throughout the world. GME welcomes all original

ISSN: 3029-1887(P)

3029-2034(O)

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Food Safety and Quality

Food Safety and Quality (FSQ), published by Scineer Publishing PTE. LTD, is an open-access journal. FSQ is devoted to publish food safety and quality related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on food safety and quality throughout the world. FSQ welcomes all original manuscripts that do not be published in any other journals.

ISSN: 3029-2115(P)

3029-2123(O)

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Hydraulic Engineering and Power Research

Hydraulic Engineering and Power Research (HEPR), published by Scineer Publishing PTE. LTD, is an open-access journal. HEPR is devoted to publish hydraulic engineering and power related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on hydraulic engineering and power throughout the world. HEPR welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â ISSN: 3029-2158(P)

Â Â Â Â Â Â Â Â Â 3029-2166(O)

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Medical and Health Research

Medical and Health Research (MHR), published by Scineer Publishing PTE. LTD, is an open-access journal. MHR is devoted to publish medicine related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on medicine throughout the world. MHR welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â ISSN: 3029-2190(P)

Â Â Â Â Â Â Â Â Â 3029-2204(O)

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Practical Medical Research

Practical Medical Research (PMR), published by Scineer Publishing PTE. LTD, is an open-access journal. PMR is devoted to publish medicine related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on medicine throughout the world. PMR welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â ISSN: 3029-2085(P)

Â Â Â Â Â Â Â Â Â Â 3029-2093(O)

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Forum on Research and Innovation Management

Forum on Research and Innovation Management (FRIM), published by Scineer Publishing PTE. LTD, is an open-access journal. FRIM is devoted to publish research and innovation management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on research and innovation management throughout the world. FRIM welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â ISSN: 3029-1933(P)

Â Â Â Â Â Â Â Â Â 3029-1984(O)

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Construction Safety Technology and Management

Construction Safety Technology and Management (CSTM), published by Scineer Publishing PTE. LTD, is an open-access journal. CSTM is devoted to publish construction safety technology and management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on construction safety technology and management throughout the world. CSTM welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â Â ISSN: 3029-2069(P)

Â Â Â Â Â Â Â Â Â Â Â 3029-2077(O)

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Industrial Technology Research

Industrial Technology Research (ITR), published by Scineer Publishing PTE. LTD, is an open-access journal. ITR is devoted to publish industrial technology related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on industrial technology throughout the world. ITR welcomes all original manuscripts that do not be published in any other journals.

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Â Â Â Â ISSN: 3029-1895(P)

Â Â Â Â Â Â Â Â Â Â 3029-2026(O)

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Environmental Protection and Health

Environmental Protection and Health (EPH), published by Scineer Publishing PTE. LTD, is an open-access journal. EPH is devoted to publish environmental protection and health related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on environmental protection and health throughout the world. EPH welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â ISSN: 3029-1909(P)

Â Â Â Â Â Â Â Â Â 3029-2018(O)

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Artificial Intelligence Technology Research

Artificial Intelligence Technology Research (AITR), published by Scineer Publishing PTE. LTD, is an open-access journal. AITR is devoted to publish artificial intelligence technology related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on artificial intelligence technology throughout the world. AITR welcomes all original manuscripts that do not be published in any other journals.Â

Â Â Â Â ISSN: 3029-1968(O)

Â Â Â Â Â Â Â Â Â 3029-195X(P)
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Curriculum Learning and Exploration

Curriculum Learning and Exploration (CLE), published by Scineer Publishing PTE. LTD, is an open-access journal. CLE is devoted to publish curriculum related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on curriculum throughout the world. CLE welcomes all original manuscripts that do not be published in any other journals.Â

Â Â Â Â ISSN: 3029-1976(O)

Â Â Â Â Â Â Â Â Â 3029-1941(P)
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Evaluation of Educational Research

Evaluation of Educational Research (EER), published by Scineer Publishing PTE. LTD, is an open-access journal. EER is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. EER welcomes all original manuscripts that do not be published in any other journals.

Â Â Â Â ISSN: 3029-1992(O)

Â Â Â Â Â Â Â Â Â 3029-1925(P)
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World Education Forum

World Education Forum (WEF), published by Scineer Publishing PTE. LTD, is an open-access journal. WEF is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. WEF welcomes all original manuscripts that do not be published in any other journals.

Â Â Â Â ISSN: 3029-214X(O)

Â Â Â Â Â Â Â Â Â 3029-2131(P)

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New Explorations in Education and Teaching

New Explorations in Education and Teaching (NEET), published by Scineer Publishing PTE. LTD, is an open-access journal. NEET is devoted to publish education related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on education throughout the world. NEET welcomes all original manuscripts that do not be published in any other journals.Â

Â Â Â Â ISSN: 3029-200X(O)

Â Â Â Â Â Â Â Â Â 3029-1917(P)

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Modern Economic Management Forum

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Modern Economic Management Forum (MEMF), published by Scineer Publishing PTE. LTD, is an open-access journal. MEMF is devoted to publish modern economic management related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on economic management throughout the world. MEMF welcomes all original manuscripts that do not be published in any other journals.Â

Â Â Â Â ISSN: 3029-2182(O)

Â Â Â Â Â Â Â Â Â 3029-2174(P)

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Research and Commentary on Humanities and Arts

Research and Commentary on Humanities and ArtsÂ (RCHA), published by Scineer Publishing PTE. LTD, is an open-access journal. RCHA is devoted to publish humanities and arts related articles in the form of original papers, review papers and case studies. It also provides a platform for scholars to exchange the latest information in the related fields and aim to promote the research on humanities and arts throughout the world. RCHA welcomes all original manuscripts that do not be published in any other journals.Â

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Â Â Â Â Â Â ISSN: 3029-2050(O)

Â Â Â Â Â Â Â Â Â Â Â 3029-2042(P)

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Scineer Publishing is a publisher of open access journals. Covering various disciplines and promoting interdisciplinary development, Scineer Publishing adheres to a principle of respecting academics, and publishes insightful and rigorous academic research contents.

12 Eu Tong Sen Street, #07-168, Singapore 059819

E-mail: scineerpub@126.com

Copyright © 2023 Scineer Publishing Pte. Ltd.

Adaptive Optimal Control for Prescribed Constraints Robotic Manipulators Based On Approximate Dynamic Programming

Xiang Wang, Zhinan Peng

Abstract

In this paper, an approximate dynamic programming (ADP) approach integrated with concurrent learning is proposed to cope with
the optimal control problem in the 2-Degree-of-Freedom (2-DOF) Robot Manipulator (RM) dynamic system. Prescribed constraints are introduced from realistic applications and bound the system states for safe operation. Using a space transformation system, the constrained state
space is mapped onto an unconstrained one, facilitating the control design process. Moreover, the online ADP algorithm with critic neural
network is implemented in the transformed RM system to find the optimal control strategy, with an auxiliary term introduced to ensure initial
admissible control requirements. By using the concurrent learning method, the persistence of excitation condition is relaxed and the control
performance is enhanced. Finally, simulations of the 2-DOF RM are conducted and the simulation results validate the feasibility of the refined
ADP control algorithm in optimal control of RM systems.

Keywords

Robot Manipulator; Development of robot; Approximate Dynamic Programming

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References

[1] Bellman, Richard, and Robert E. Kalaba. Dynamic programming and modern control theory. Vol. 81. New York: Academic Press, 1965.

[2] F. L. Lewis and D. Vrabie, “Reinforcement learning and adaptive dynamic programming for feedback control, ” IEEE Circuits Syst.

Mag., vol. 9, no. 3, pp. 32–50, Aug. 2009.

[3] C. Mu and K. Wang, “Single-network ADP for near optimal control of continuous-time zero-sum games without using initial stabilising

control laws, ” IET Control Theory Appl., vol. 12, no. 18, pp. 2449–2458, 2018.

[4] T. Dierks and S. Jagannathan, "Optimal control of affine nonlinear continuous-time systems, " Proceedings of the 2010 American Control Conference, 2010, pp. 1568-1573.

[5] Q. Wei, D. Liu, Q. Lin, and R. Song, “Adaptive dynamic programming for discrete-time zero-sum games, ” IEEE Trans. Neural Netw.

Learn. Syst., vol. 29, no. 4, pp. 957–969, Apr. 2018.

[6] Y. Ouyang, L. Dong and C. Sun, "Critic Learning-Based Control for Robotic Manipulators With Prescribed Constraints, " in IEEE

Transactions on Cybernetics, vol. 52, no. 4, pp. 2274-2283, April 2022.

[7] B. D. O. Anderson, "Exponential convergence and persistent excitation, " 1982 21st IEEE Conference on Decision and Control, 1982,

pp. 12-17.

[8] G. Chowdhary and E. Johnson, "Concurrent learning for convergence in adaptive control without persistency of excitation, " 49th IEEE

Conference on Decision and Control (CDC), 2010, pp. 3674-3679.

[9] S. Xue, B. Luo and D. Liu, "Event-Triggered Adaptive Dynamic Programming for Unmatched Uncertain Nonlinear Continuous-Time

Systems, " in IEEE Transactions on Neural Networks and Learning Systems, vol. 32, no. 7, pp. 2939-2951, July 2021.

[10] Q. Zhang, D. Zhao and Y. Zhu, "Event-Triggered H∞ Control for Continuous-Time Nonlinear System via Concurrent Learning, " in

IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 47, no. 7, pp. 1071-1081, July 2017.

[11] C. Li, F. Liu, Y. Wang and M. Buss, "Concurrent Learning-Based Adaptive Control of an Uncertain Robot Manipulator with Guaranteed

Safety and Performance, " in IEEE Transactions on Systems, Man, and Cybernetics: Systems, vol. 52, no. 5, pp. 3299-3313, May 2022.

DOI: http://dx.doi.org/10.70711/aitr.v2i4.4868

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Scineer Publishing is a publisher of open access journals. Covering various disciplines and promoting interdisciplinary development, Scineer Publishing adheres to a principle of respecting academics, and publishes insightful and rigorous academic research contents.

12 Eu Tong Sen Street, #07-168, Singapore 059819

E-mail: scineerpub@126.com

Copyright © 2023 Scineer Publishing Pte. Ltd.