Linear periodically time-varying discrete-time systems: Aliasing and LTI approximations
β Scribed by Tongwen Chen; Li Qiu
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 516 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
β¦ Synopsis
Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include multirate sampled-data control systems and multirate filter-bank systems. In this paper, several ways are proposed to quantify aliasing effect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms. @ 1997 Elsevier Science B.V.
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## We develop an adaptive control technique for the regulation of a class of linear, discrete-time, time-varying system. The only a priori knowledge required is a bound of the varying component of the parameters. The result is concerned with global behaviour.
We study two discrete-time, linear switching time-varying (LSTV) structures, each of which consists of a periodic switch connected to several linear time-invariant (LTI) systems. Such structures can be used to represent any linear periodically time-varying (LPTV) systems. We give basic properties as