A new result on semi-synchronous event-triggered backstepping robust control for a class of non-Lipschitzian networked systems.

• Compared with design methods in related results, the novel piecewise constant virtual control signals are designed and the requirement of designing a differentiator is avoided. Thus, the backstepping method in this paper is more suitable for networked control systems. • A semi-synchronous event-triggered scheme is designed. Compared with some conventional event-triggered schemes, the triggering instants among the channels are largely staggered to reduce network congestion; A self-triggered scheme is further proposed to avoid the continuous monitoring of the event-triggered conditions. • Compared with some switching methods, the constraints of ADT are canceled to allow more frequent switchings. • A class of nonlinear systems with Hölder condition and linear growth condition is introduced, such that the robustness of the proposed backstepping method is extended. The paper investigates the backstepping robust control problem for a class of nonlinear networked systems. The non-Lipschitz conditions of linear growth condition and Hölder condition are considered in the time-varying disturbance and uncertainty. An important innovation is that the virtual controller is designed to be piecewise constant such that the usage of the command filter is avoided. In the process of designing the robust controller, a semi-synchronous event-triggered scheme is proposed to relieve the communication pressure in high-order systems. Thus, a switched controller without using average dwell time (ADT) is considered. The finite-time practical stability with the form of fast terminal sliding mode (TSM) is also obtained. Then, the Zeno behavior is excluded and a self-triggered scheme is further proposed to avoid the continuous monitoring of the event-triggered conditions. Compared with some existing command-filtered results, the design process is simplified and more suitable for networked systems. The effectiveness of the proposed theory is validated by the numerical simulation of a hypersonic vehicle. [ABSTRACT FROM AUTHOR]