&lt;tex&gt;$\mathcal{H}_{\infty}$&lt;/tex&gt; Finite-Time Bounded Observer Design for Nonlinear Systems with Time-Delay

Zhou, Chenglai; Cai, Xiushan; Lin, Cong; Bao, Mingjie; Li, Qingbo

doi:10.23919/chicc.2018.8482681

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2020

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“…The H ∞ observer for nonlinear systems with time-delay was designed by FTB method. 23 The FTB functional observer for a class of nonlinear systems 24 was also researched by FTB scheme. However, the controller design problem is more difficult than the observer.…”

Section: Introductionmentioning

confidence: 99%

Finite-time bounded control design for one-sided Lipschitz differential inclusions

Zhou

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article considers finite-time bounded controller design for one-sided Lipschitz nonlinear differential inclusions. Sufficient conditions of finite-time bounded criterion are given employing convex hull Lyapunov function approach. An algorithm is designed to calculate the finite-time bounded controller. Moreover, a system initial state selection method is presented to find the domain of system initial state aid for transforming quasi-linear matrix inequality–based conditions to linear matrix inequality-based conditions. Finally, a numerical example and a comparison experiment example are given to illustrate the effectiveness of this proposed design method.

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