Stability of Interfered Digital Filters Subjected to Markovian Jumping Parameters and Time Delay Employing Quantization/Overflow Nonlinearities

The problem of mixed H-infinity and passivity performance analysis is investigated for interfered digital filters under Markovian jumping parameters, time-varying delays and various combinations of quantization and overflow nonlinearities. By virtue of Lyapunov-Krasovskii stability approach, a novel sufficient condition is derived such that the underlying system is stochastically stable and satisfies a prescribed mixed H-infinity and passivity performance index. In a unified framework, the proposed criterion can be used for the H-infinity performance, the passivity and the mixed H-infinity and passivity performance of digital filters. Moreover, the problem is formulated to obtain optimal performance index (i.e. H-infinity, passivity and mixed H-infinity and passivity) of interfered digital filters. At last, two numerical examples and an interfered digital filter with tridiagonal state-space model are applied to demonstrate the effectiveness of the proposed approach.

Automated summary

This paper investigates the mixed H-infinity and passivity performance analysis of interfered digital filters. A novel sufficient condition is derived and can be used for different performance indices of digital filters, including H-infinity performance and passivity performance.