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Multi-objective Optimal Design of Nonlinear Controls

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NEO 2015

Part of the book series: Studies in Computational Intelligence ((SCI,volume 663))

Abstract

The most important part of the control design for nonlinear dynamical systems is to guarantee the stability . Then, the control is quantitatively designed to meet multiple and often conflicting performance objectives. The performance of the closed-loop system is a function of various system and control parameters. The quantitative design using multiple parameters to meet multiple conflicting performance objectives is a challenging task. In this chapter, we present the recent results of Pareto optimal design of controls for nonlinear dynamical systems by using the advanced algorithms of multi-objective optimization. The controls can be of linear PID type or nonlinear feedback such as sliding mode. The advanced algorithms of multi-objective optimization consist of parallel cell mapping methods with sub-division techniques. Interesting examples of linear and nonlinear controls are presented with extensive numerical simulations.

Honorary Professor of Tianjin University.

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Acknowledgments

The material in this chapter is based on work supported by grants (11172197, 11332008 and 11572215) from the National Natural Science Foundation of China, and a grant from the University of California Institute for Mexico and the United States (UC MEXUS) and the Consejo Nacional de Ciencia y Tecnología de México (CONACYT) through the project “Hybridizing Set Oriented Methods and Evolutionary Strategies to Obtain Fast and Reliable Multi-objective Optimization Algorithms”.

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Authors and Affiliations

  1. Department of Mechanics, Tianjin University, Tianjin, China

    Zhi-Chang Qin & Fu-Rui Xiong

  2. School of Engineering, University of California, Merced, CA, 95343, USA

    Yousef Sardahi, Yousef Naranjani & J. Q. Sun

  3. Computer Science Department, CINVESTAV-IPN, 07360, Mexico City, Mexico

    Oliver Schütze

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  1. Zhi-Chang Qin
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  2. Fu-Rui Xiong
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  3. Yousef Sardahi
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  4. Yousef Naranjani
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  5. Oliver Schütze
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  6. J. Q. Sun
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Corresponding author

Correspondence to J. Q. Sun .

Editor information

Editors and Affiliations

  1. Departamento de Comput Cinvestav-IPN, Mexico, Mexico

    Oliver Schütze

  2. Posgrado en Ciencias de la Ingeniería, Instituto Tecnológico de Tijuana, Tijuana, Baja California, Mexico

    Leonardo Trujillo

  3. Université de Bordeaux, Bordeaux, France

    Pierrick Legrand

  4. Posgrado en Ciencias de la Ingeniería, Instituto Tecnológico de Tijuana, Tijuana, Mexico

    Yazmin Maldonado

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Qin, ZC., Xiong, FR., Sardahi, Y., Naranjani, Y., Schütze, O., Sun, J.Q. (2017). Multi-objective Optimal Design of Nonlinear Controls. In: Schütze, O., Trujillo, L., Legrand, P., Maldonado, Y. (eds) NEO 2015. Studies in Computational Intelligence, vol 663. Springer, Cham. https://doi.org/10.1007/978-3-319-44003-3_9

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  • DOI: https://doi.org/10.1007/978-3-319-44003-3_9

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  • Print ISBN: 978-3-319-44002-6

  • Online ISBN: 978-3-319-44003-3

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