Title :
Set descriptions of white noise and worst case induced norms
Author :
Paganini, Fernando
Author_Institution :
California Inst. of Technol., Pasadena, CA, USA
Abstract :
This paper provides a framework for analyzing white noise disturbances in linear systems. Rather than the usual stochastic approach, noise signals are described as elements in sets and the disturbance rejection properties of the system are described in a worst case setting. This type of modeling of noise and disturbances very much fits the philosophy of both the behavioral and robust control settings. The description is based on properties of finite records of signals, which may be verified directly on experimental data. Bounds of system gain for input signals in these sets are given, and their asymptotic behavior for long data records is analyzed
Keywords :
discrete time systems; linear systems; spectral analysis; stability; white noise; discrete time systems; disturbance rejection; linear systems; noise signal; robust control; set descriptions; system gain; white noise; worst case induced norms; worst case setting; Autocorrelation; Computer aided software engineering; Linear systems; Power system modeling; Robust control; Signal processing; Stochastic processes; Stochastic resonance; Stochastic systems; White noise;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325900
