Global Prescribed-Time Controller Design for p-Normal Switched Nonlinear Systems With Dead-Zone Inputs

• Published in: IEEE access Vol. 9; pp. 11272 - 11281
• Main Authors: Hou, Deheng, Gao, Fangzheng
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">p -normal form; Asymptotic stability; Canonical forms; Control methods; Control systems design; Controllers; dead-zone inputs; Liapunov functions; Nonlinear systems; Power system stability; prescribed-time stabilization; Stability criteria; Stabilization; State feedback; Switched nonlinear systems; Switched systems; Switches; time-varying scaling transformation
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2021.3050276

The global stabilization controller design is addressed in this paper for a kind of uncertain switched nonlinear systems (SNSs) in <inline-formula> <tex-math notation="LaTeX">p </tex-math></inline-formula>-normal form. Notably, the study possess two significant features: the system under investigation is subject to the dead-zone inputs, and the system states are expected to be driven to zero in prescribed finite time. To do this, a novel time-varying scaling transformation (TVST), which can be used to change the original prescribed-time stabilization into the asymptotic stabilization of transformed one, is first recommended. Then, with the aid of the common Lyapunov function (CLF) technique, the state feedback stabilization within prescribed-time of SNSs is established by using the recursive idea. Finally, the effectiveness of given control method is confirmed by simulation results of a liquid-level system.