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Stability analysis of nonlinear fuzzy hybrid control systems subject to saturation and delays via step-function method
  • Ruiyang Qiu,
  • Ruihai Li,
  • Jianbin Qiu
Ruiyang Qiu
Harbin Institute of Technology School of Astronautics

Corresponding Author:ruiyang_qiu@outlook.com

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Ruihai Li
Harbin Institute of Technology School of Mathematics
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Jianbin Qiu
Harbin Institute of Technology School of Astronautics
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Abstract

Under the framework of the step-function method, the stability of a nonlinear fuzzy hybrid control system combining an impulsive controller and a continuous state feedback controller is investigated. Both the two controllers are assumed to be subject to both actuator saturation and time-varying delays, which has received little attention if any, in the existing studies. A new assumption is established enabling the use of generalized sector conditions to tackle the double saturation, and the conservatism of the stability results is remarkably reduced thanks to the improved step-function method. The stability theorem proposed in this paper removes restriction on the time delays of both controllers, which can be also applied to wider scopes of systems, including hybrid control systems with both stabilizing and instabilizing impulses, systems with varying impulsive gain, and systems with Zeno behavior. Numerical simulations of stabilization for different systems by delayed saturated hybrid control have been conducted, which demonstrate the validity of proposed theorems.
24 Jun 2023Submitted to International Journal of Robust and Nonlinear Control
26 Jun 2023Submission Checks Completed
26 Jun 2023Assigned to Editor
26 Jun 2023Review(s) Completed, Editorial Evaluation Pending
02 Jul 2023Reviewer(s) Assigned
29 Jul 2023Editorial Decision: Revise Minor
21 Aug 20231st Revision Received
23 Aug 2023Submission Checks Completed
23 Aug 2023Assigned to Editor
23 Aug 2023Review(s) Completed, Editorial Evaluation Pending
24 Aug 2023Reviewer(s) Assigned
09 Oct 2023Editorial Decision: Accept