Data-driven controller design of discrete-time switched systems using virtual clock approach

Abstract

This paper presents a novel data-driven controller design methodology for discrete-time switching systems, emphasizing reduced conservativeness. This approach leverages both lifting and virtual clock approaches to achieve this goal. The paper thoroughly examines different application scenarios, including noise-free state measurable, noise-free state unmeasurable, and the consideration of noise. A compromise between conservativeness and applicability is also explored to relax usage restrictions. Importantly, the proposed controller design method is non-conservative in the noise-free case under specific conditions. Simulation results demonstrate that, in the presence of noise, the $H_{\infty }$ performance of the controllers significantly surpasses that of gain controllers based on traditional methods. Corresponding numerical and practical examples are added to all the methods presented to illustrate their validity.