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A Sequential Design Approach for Switching ℌ∞ LPV Control

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  • Control Theory and Applications
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Abstract

This paper proposes a sequential design scheme for switching ℌ∞ LPV (Linear Parameter-Varying) control, aiming to reduce the computational complexity of the associated optimization problem. Different from the traditional approach that simultaneously designs switching LPV controllers and solves a high-dimensional optimization problem, the proposed sequential design approach renders a bundle of low-dimensional optimization problems to be solved iteratively. Individual ℌ∞ LPV controller for each subregion is synthesized by independent PLMIs (Parametric Linear Matrix Inequalities) to guarantee ℌ∞ performance, and controller variables are interpolated on the overlapped subregions such that the ℌ∞ performance is also guaranteed on the overlapped subregion. Numerical examples are used to demonstrate the effectiveness of this method to reduce the computational load in each design iteration and improved ℌ∞ performance over the conventional simultaneous design method with well-tuned interpolation coefficient.

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Author information

Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Utah State Univeristy, Logan, UT, USA

    Tianyi He

  2. Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA

    Guoming G. Zhu

  3. Department of Aerospace Engineering, Khalifa University, Abu Dhabi, UAE

    Sean S. M. Swei

Authors
  1. Tianyi He
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  2. Guoming G. Zhu
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  3. Sean S. M. Swei
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Corresponding author

Correspondence to Guoming G. Zhu.

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Tianyi He is currently an assistant professor at Utah State University, Logan, Utah, USA. He received his Ph.D. degree from Michigan State University in 2019, a B.S. degree in mechanical engineering from Beijing University of Aeronautics and Astronautics, Beijing, China, in 2013, and an M.Phil. degree from the Hong Kong University of Science and Technology in 2015. His research interests include linear parameter varying control and applications on mechanical, aerospace systems.

Guoming G. Zhu is currently a professor with the Department of Mechanical Engineering, Michigan State University, East Lansing, MI, USA. He received his B.S. and M.S. degrees from the Beijing University of Aeronautics and Astronautics, Beijing, China, in 1982 and 1984, respectively, and a Ph.D. degree in aerospace engineering from Purdue University, West Lafayette, IN, USA, in 1992. He was a Technical Fellow in advanced powertrain systems with Visteon Corporation, and a Technical Advisor with Cummins Engine Co., Ltd. Dr. Zhu has authored or co-authored over 240 refereed technical papers, two books, and more than 40 U.S. patents. Dr. Zhu is a Fellow of the SAE and ASME. He is an Editorial Board Member of the International Journal of Powertrain and associate editor of ASME Letters in Dynamic Systems and Control. He was the program chair of the 2018 ASME Dynamic Systems and Control Conference and an Associate Editor of the ASME Journal of Dynamic Systems, Measurement, and Control.

Sean S. M. Swei was formerly with NASA Ames Research Center and is currently a Professor of Practice in the Department of Aerospace Engineering at Khalifa University (KU), Abu Dhabi, UAE, and Director of KU Space Technology and Innovation Center (KUSTIC). He received his B.Sc. degree in mechanical engineering from National Taiwan University in 1983, an M.Sc. degree in mechanical engineering and mechanics from Drexel University in 1986, and a Ph.D. degree in aeronautics and astronautics from Purdue University in 1993. Dr. Swei’s main research interests are in the general areas of air and spaceflight vehicle systems, space structures and their integration with advanced autonomous/robotic systems.

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He, T., Zhu, G.G. & Swei, S.S.M. A Sequential Design Approach for Switching ℌ∞ LPV Control. Int. J. Control Autom. Syst. 19, 3354–3367 (2021). https://doi.org/10.1007/s12555-020-0363-3

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  • DOI: https://doi.org/10.1007/s12555-020-0363-3

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