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Control Design on a Non-minimum Phase Bilinear System by Backstepping Method

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  • Control Theory and Applications
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Abstract

In this paper, we construct a control design of a non-minimum phase bilinear system. Here we apply a coordinate transformation to determine the normal form and the relative degree of the system with a particular class. We use the backstepping method to determine the control variable so that the bilinear system becomes stable. From this design, the output system can track the desired output.

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Authors and Affiliations

  1. Industrial & Financial Mathematics Group, Institut Teknologi Bandung, Bandung, 40116, Indonesia

    Ahmadin, Janson Naiborhu, Roberd Saragih & Khozin Mu’tamar

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  1. Ahmadin
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  2. Janson Naiborhu
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  3. Roberd Saragih
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  4. Khozin Mu’tamar
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Correspondence to Ahmadin.

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This research was financially supported by the LPDP (Lembaga Pengelola Dana Pendidikan), Ministry of Finance, Republic Indonesia.

Ahmadin received his Bachelor’s degree in mathematics from Universitas Airlangga, Indonesia, in 2001 and a Magister’s degree in mathematics from Institut Teknologi Sepuluh Nopember, Indonesia, in 2006. He is currently pursuing a Ph.D. degree in mathematics from the Department of Mathematics, Institut Teknologi Bandung, Indonesia. He is also a Lecturer with the Department of Mathematics at the Universitas Airlangga. His research interests include nonlinear control systems and optimal control.

Janson Naiborhu received his B.Sc., M.Sc., and Ph.D. degrees from the Department of Mathematics, Institut Teknologi Bandung, Indonesia, in 1989, 1992, and 2005, respectively. He is currently a Professor in the Department of Mathematics, Institut Teknologi Bandung. His current research interests include nonlinear control systems and optimization.

Roberd Saragih received his B.S. degree in mathematics and a Magister’s degree in instrumentation and control from Institut Teknologi Bandung, Indonesia, in 1986, and 1993, respectively. He received a Ph.D. degree in mechanical engineering from Keio University, Japan, in 1998. From 1989, he joined the Department of Mathematics, Institut Teknologi Bandung, where he is currently a Professor of mathematics. His general area of interest is robust control, system theory, and stochastic control.

Khozin Mu’tamar received his B.Sc. degree in mathematics from the Faculty of Mathematics and Natural Sciences, Universitas Diponegoro, Indonesia, in 2010, and an M.Sc. degree in Mathematics from the Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia, in 2013. He is currently pursuing a Ph.D. degree in mathematics from the Department of Mathematics, Institut Teknologi Bandung since 2019. He is also a Lecturer with the Mathematics Department at the Universitas Riau, Indonesia. His current research interests include optimal control in the epidemic models, nonlinear control systems, and optimization.

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Ahmadin, Naiborhu, J., Saragih, R. et al. Control Design on a Non-minimum Phase Bilinear System by Backstepping Method. Int. J. Control Autom. Syst. 20, 3213–3221 (2022). https://doi.org/10.1007/s12555-021-0502-5

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