Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

Abstract

Summary This paper studies the event‐triggered practical finite‐time output feedback stabilization problem for a class of uncertain nonlinear systems with unknown control gains. First, a reduced‐dimensional observer is employed to implement the reconstruction of the unavailable states. Furthermore, a novel event‐triggered output feedback control strategy is proposed based on the idea of backstepping design and sign function techniques. It is shown that the practical finite‐time stability of the closed‐loop systems is ensured by Lyapunov analysis and related stability criterion. Compared with the existing methods, the main advantage of this strategy is that the observer errors and event‐trigger errors can be processed simultaneously to achieve the practical finite‐time stability. Finally, an example is adopted to demonstrate the validity of the proposed scheme.

Global adaptive finite‐time stabilization for a class of p‐normal nonlinear systems via an event‐triggered strategy

“…wherẽand̃are unknown positive constants, and B( ) = ∑ n i=2 B i ( i−1 ). Therefore, (27) can be rewritten aṡ…”

“…Therefore, we cannot use the differentiability of the measurement error to prove the avoidance of the Zeno phenomenon. The methods in works 21,24,27 are infeasible to exclude the Zeno phenomenon.…”

“…(2) If one let = + 1, q i = 1 r i , Assumption 2 means that condition (b) in work, 26 where being a known constant. Furthermore, when = 0, Assumption 2 is reduced to a lower triangular homogeneous growth condition 27,29 with a known constant . (3) When = 0, Assumption 2 includes the restrictions on nonlinearities of works.…”

“…3. Different from results, 27,[29][30][31] the linear or homogeneous growth condition imposed on the system nonlinearities is relaxed to nonhomogeneous one and the system powers contain both 0 < p i < 1 and p i ≥ 1. These features inevitably bring great challenges on the event-triggered control design and make the existing finite-time event-triggered control methods infeasible.…”

“…1. Compared with the existing event-triggered strategies, such as works, 21,22,25,27 a new adaptive event-triggered mechanism without unknown parameter estimators is designed by virtue of a dynamic gain technique, which renders that all states of the closed-loop systems converge to the origin globally rather than its neighborhood. 2.…”