Abstract
In this paper, we investigate the strict dissipativity and asymptotic stability of digital filters in the direct form with saturation nonlinearity. First, a novel criterion is presented for the (Q, S, R)-(Formula presented.)-dissipativity of single digital filters in the direct form. By selecting the weighting scalar parameters, this condition reduces to the conditions for (Formula presented.), passivity, and mixed (Formula presented.)/passivity performances. Based on this result, a new sufficient criterion is proposed for the (Q, S, R)-(Formula presented.)-dissipativity of interconnected digital filters in the direct form. A condition for the asymptotic stability of interconnected direct-form digital filters is also presented, and three numerical examples are included to show the effectiveness of the developed theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Nonlinear Dynamics |
| DOIs | |
| Publication status | Accepted/In press - 2016 Mar 7 |
Keywords
- Digital filter
- Direct form
- Dissipativity
- Interconnection
- Stability
ASJC Scopus subject areas
- Applied Mathematics
- Mechanical Engineering
- Aerospace Engineering
- Ocean Engineering
- Electrical and Electronic Engineering
- Control and Systems Engineering