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arXiv · 2201.02939

Prescribed-time Control for Linear Systems in Canonical Form Via Nonlinear Feedback

Hefu Ye·Yongduan Song
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Abstract

For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like function, a nonlinear and time-varying state feedback control scheme is constructed, which is further extended to address output feedback based prescribed-time regulation by invoking the prescribed-time observer, all are applicable over the entire operational time zone. As an alternative to full state regulation within user-assignable time interval, the proposed method analytically bridges the divide between linear and nonlinear feedback based prescribed-time control, and is able to achieve asymptotic stability, exponential stability and prescribed-time stability with a unified control structure.

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Hefu Ye, Yongduan Song. 2022-01-09. Prescribed-time Control for Linear Systems in Canonical Form Via Nonlinear Feedback. https://arxiv.org/abs/2201.02939

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