Prescribed-Time Stabilization of Uncertain Planar Nonlinear Systems with Output Constraints

Fangzheng Gao, Chih Chiang Chen, Jiacai Huang, Yuqiang Wu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This brief reports the prescribed-time stabilization (PST) problem for a class of uncertain planar nonlinear systems with output constraints. To handle the obstacle caused by the output constraints, a tan-type Barrier Lyapunov Function (BLF) that equates to the classical one for unconstrained systems is exploited. By suitably introducing the time-varying function into the virtual (actual) controllers rather than conventionally to scale the coordinate transformations, a switched, non-scaling design scheme for state feedback is developed to ensure that the origin of the resulting closed-loop system (CLS) is prescribed-time stable without disobeying the constraints. The novelty of the proposed control strategy is that it solves the computationally singular problem effectively and leads to a simpler controller in comparison with the traditional scaling design. Finally, the appealing performance of the proposed scheme is illustrated by simulation.

Original languageEnglish
Pages (from-to)2887-2891
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number6
Publication statusPublished - 2022 Jun 1

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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