Abstract
This paper proposes a new criterion for the input/output-to-state stability (IOSS) of interfered direct-form digital filters with finite wordlength nonlinearities based on an augmented Lyapunov function. Without external interferences, the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters are guaranteed under the proposed criterion. An improved criterion is also proposed for the IOSS and OSS of interfered direct-form digital filters, with the introduction of four slack matrices. A new state-norm estimator for direct-form digital filters is constructed based on an exponential-decay IOSS criterion. The criteria presented in this paper are expressed by linear matrix inequalities (LMIs). Two numerical examples demonstrate the effectiveness of the proposed results.
| Original language | English |
|---|---|
| Pages (from-to) | 549-557 |
| Number of pages | 9 |
| Journal | Signal Processing |
| Volume | 108 |
| DOIs | |
| Publication status | Published - 2015 Mar |
Bibliographical note
Funding Information:This work was supported in part by the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning ( NRF-2014R1A1A1006101 ) and in part by the Energy Efficiency & Resources Core Technology Program of the Korea Institute of Energy Technology Evaluation and Planning (KETEP), granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea ( No. 20142010102390 ).
Publisher Copyright:
© 2014 Elsevier B.V.
Keywords
- Digital filter
- Finite wordlength effect
- Input/output-to-state stability (IOSS)
- Output-to-state stability (OSS)
- State-norm estimator
ASJC Scopus subject areas
- Control and Systems Engineering
- Software
- Signal Processing
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering