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Global Regulation of a Chain of Integrators with an Unknown Delay in the Input via Reduced-order Observer Based Output Feedback with a Gain-scaling Factor

Ji-Sun Park, Sang-Young Oh, and Ho-Lim Choi*
International Journal of Control, Automation, and Systems, vol. 20, no. 9, pp.2868-2878, 2022

Abstract : In this study, we reanalyze the global regulation problem for an input-delayed chain of integrators by output feedback. Our main objective is to achieve the faster/improved system regulation over the existing result. We propose a reduced-order observer based output feedback controller with a dynamic gain-scaling factor to achieve our main objective. The key feature of our control method is a newly designed reduced-order observer coupled with a dynamic gain-scaling factor. We analytically show that the controlled system is regulated with improved performance over the existing result. An example is given for illustration.

Keyword : Chain of integrators, gain-scaling factor, output feedback control, reduced-order observer, unknown time-varying input delay.

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