Journal
AUTOMATICA
Volume 111, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2019.108581
Keywords
High-order nonlinear systems; Asymmetric output constraint; Adding a power integrator; Finite-time stabilization
Funding
- Ministry of Science and Technology (MOST), Taiwan [MOST 107-2221-E-006-231-and MOST 108-2221-E-006-211]
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The problem of finite-time stabilization for a class of high-order nonlinear systems (also known as p-normal form systems) with an asymmetric output constraint is investigated in this paper. A novel design approach is proposed by delicately revamping the technique of adding a power integrator with the introduction of a distinctive asymmetric barrier Lyapunov function and performing a skillful manipulation of sign functions. By using the present method, a continuous state feedback finite-time stabilizer can be recursively constructed while achieving the requirement of the asymmetric output constraint. The novelty of the proposed approach is that it is a unified manner that enables us to simultaneously tackle the problem of finite-time stabilization for high-order nonlinear systems with and without asymmetric output constraints, without changing the controller structure. (C) 2019 Elsevier Ltd. All rights reserved.
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