Global exponential stabilisation of nonlinear systems by reduced-order observer-based output feedback control via matrix inequality approach

Abstract

In this paper, we consider the global exponential stabilisation problem by output feedback for a class of nonlinear systems with the extended structure of nonlinearity over the existing control scheme. The new feature is that we present a newly designed reduced-order observer-based output feedback controller with a gain-scaling factor. In our proposed method, we provide more flexibility in the selection of control parameters by utilising a matrix inequality approach under the extended structure of nonlinearity. Using examples, we illustrate the improved results of the proposed control scheme over the existing control scheme.

Keywords:

• Reduced-order observer
• gain-scaling factor
• matrix inequality
• nonlinear systems
• global exponential stabilisation

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Dong-A University research fund.

Notes on contributors

Sang-Young Oh

Sang-Young Oh received the B.S.E. degree in 2013 and M.S. degree in 2015 and Ph.D. degree in 2020 from the Department of Electrical Engineering, Dona-A university, Busan, Korea, respectively. He is a postdoctoral researcher at Dona-A university. His research interests include nonlinear system control problems including optimal controls, feedback linearization problems, time-delay issues. He is a member of IEEE, ICROS, and KIEE.

Ho-Lim Choi

Ho-Lim Choi received the B.S.E. degree from the department of electrical engineering, The Univ. of Iowa, USA in 1996, and M.S. degree in 1999 and Ph.D degree in 2004, from KAIST, respectively. Currently, he is a professor at department of electrical engineering, Dong-A university, Busan. His research interests are in the nonlinear control problems with emphasis on feedback linearization, gain scheduling, singular perturbation, output feedback, time-delay systems, time-optimal control. He is a senior member of IEEE.