This paper addresses the problem of semi-global exact prescribed-time stabilization of linear systems by bounded controls. To solve such a problem, one needs to construct a parameterized quadratic control Lyapunov function whose corresponding level set can be made arbitrarily large (for achieving semi-global stabilization) and such that the real parts of the poles of the closed-loop system approach minus infinity as the parameter approaches infinity (for achieving prescribed-time stabilization). This objective is achieved by proposing a nested parametric Lyapunov equation (PLE)-based approach, through which only two linear matrix equations need to be solved in the controller design stage without using real-time state information. Under the proposed structural condition, the nested PLE-based approach guarantees semi-global exact prescribed-time stabilization for any prescribed bounded set of initial conditions, provided that the prescribed settling time is sufficiently large. A numerical example is provided to demonstrate the effectiveness of the designed controller.
This paper investigates the problem of observer-based stabilization for a class of nonlinear fractional-order systems affected by bounded disturbances. The considered nonlinearities satisfy the quasi-one-sided Lipschitz condition, which generalizes the classical one-sided Lipschitz property and allows treating a broade...
S. Kasmi· Archives of Control Sciences· 0 citations
This paper investigates the predefined-time adaptive neural tracking control problem for a class of nonlinear pure feedback systems with full state constraints. A novel barrier Lyapunov function (BLF) integrated with a predefined-time performance function (PTPF) is constructed to ensure that the tracking error converge...
Yang Li, Ya-Qi Yu, Quan-Min Zhu et al.· Mathematics· 0 citations
A practical finite-time adaptive fuzzy tracking controller is constructed, which guarantees the semi-global practical finite-time stability of the closed-loop system, with all closed-loop signals remaining bounded for all time and the tracking error converging to a residual set within finite time.
The global prescribed-time stability problem of a class of uncertain systems is investigated. Utilizing the proposed $\gamma$-fold convergence convergence function, a novel low-complexity global prescribed-time stability analysis framework is developed. Existing virtual controllers based on time-varying transformation...
Hao Li, Chang-Chun Hua, Kuo Li et al.· IEEE/CAA Journal of Automati...· 0 citations
This article investigates the problem of global fixed‐time (FT) exact tracking control for high‐order nonlinear systems (HONSs) characterized by input quantization and external disturbances. Most existing approaches for handling unknown nonlinearities rely on radial basis function neural networks (RBFNNs) or fuzzy lo...
Zhi-Wei Hua· International Journal of Rob...· 0 citations
We use cookies to run the site and, with your consent, for analytics and to show ads.
See our Cookie Policy.
