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- Title
Controller Design and Stability Analysis for a Class of Leader-Type Stochastic Nonlinear Systems.
- Authors
Zhang, Haiying
- Abstract
In this paper, the non-scaling backstepping approach is used to examine the controller design process and stability analysis of a class of leader-type stochastic nonlinear systems. By utilizing the non-scaling backstepping design method and Lyapunov method, the controller of the leader-type stochastic nonlinear system is derived. Different from the previous literature on controller design, we develop a more computationally efficient way for designing controllers because the scaling function in the coordinate transformation is not included. Meanwhile, the prescribed-time mean-square stabilization on the equilibrium and two important estimates are derived by combining the Lyapunov method with the matrix norm. Compared to the finite-time stabilization in other studies, the prescribed-time stabilization can determine the convergence time without relying on the initial value and has more real-world applicability. To illustrate the effectiveness of the controller derived in this paper, numerical examples are provided finally.
- Subjects
STOCHASTIC systems; NONLINEAR systems; BACKSTEPPING control method; MATRIX norms; COORDINATE transformations; ADAPTIVE control systems; FUZZY neural networks
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 11, p2049
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15112049