New Results on Stability Analysis for Sampled-Data Control Systems With Nonuniform Sampling and Communication Delays

Abstract

This paper investigates the stability analysis of sampled-data control systems with nonuniform sampling and communication delays. First, by taking full advantage of effective information of the sampling intervals [tk, tk+1) and [tk-τ, tk+1-τ), we propose a new looped Lyapunov functional called two-sided sampling-interval-dependent looped Lyapunov functional, which is tailored for the use of generalized free-matrix-based inequality and canonical Bessel-Legendre inequality. Second, by using the proposed looped Lyapunov functional and the integral inequality technique, some novel N-dependent stability criteria with less conservatism are derived for the considered systems. The obtained stability criteria are shown to have a hierarchical character: the higher level of hierarchy, the less conservatism of the derived result. Finally, two examples are provided to illustrate the effectiveness of the proposed approaches.

Keywords

• Stability
• sampled-data control systems
• nonuniform sampling
• communication delays
• looped Lyapunov functional
• integral inequality