Event-Triggered Sliding Mode Control of Uncertain Switched Systems via Hybrid Quantized Feedback

This article is concerned with the sliding mode control (SMC) for stabilizing a switched linear system with external disturbances and uncertain nonlinearities. The state sampling is implemented by an event-triggered mechanism (ETM) and the sampled data are transmitted through a limited-bandwidth digital channel. The main challenge of such a work comes from the quantizer saturation and quantization error in the SMC design with finite-level quantization and the mismatched control caused by the switch and event-triggered sampling. To solve the above problem, we at first present an ETM and a limited-information-based SMC law. Then, a new discrete-time level-sets method is proposed to develop the dynamic quantization policy (DQP). If the disturbance bound is known, the DQP can avoid the quantizer saturation without the need of online detection. A switching law and quantization parameter conditions are provided to ensure the convergence of the state trajectory. At last, the result is generalized to the unknown bound of disturbance. The limited-information control problem of a single-link manipulator is taken as a potential application of the proposed method.

Automated summary

This article discusses the application of sliding mode control in stabilizing switched linear systems with external disturbances and uncertain nonlinearities. It introduces state sampling using an event-triggered mechanism and control strategies based on limited information, addressing challenges such as quantization error and mismatched control. The proposed method includes a dynamic quantization policy and switching law to ensure convergence of state trajectory, with potential applications in controlling single-link manipulators.