New results on the robust stability of control systems with a generalized disturbance observer

Bibliographic Details
Title: New results on the robust stability of control systems with a generalized disturbance observer
Authors: Zhuo‐Yun Nie, Qing‐Guo Wang, Jinhua She, Rui‐Juan Liu, Dong‐Sheng Guo
Source: Asian Journal of Control. 22:2463-2475
Publisher Information: Wiley, 2019.
Publication Year: 2019
Subject Terms: 0209 industrial biotechnology, Adaptive or robust stabilization, Perturbations in control/observation systems, disturbance rejection, robust stability, 02 engineering and technology, generalized disturbance observer (GDOB), non-minimum-phase system, Frequency-response methods in control theory
Description: A generalized disturbance observer‐based (GDOB) control system and its robust stability are studied in this paper. One feature of this new GDOB scheme is that an inverse of the nominal plant in the standard DOB is no longer required. Thus, it is applicable to both minimum‐phase (MP) and non‐minimum‐phase (NMP) plants. New conditions for robust stability are derived for two cases: plants with no right half plane (RHP) zero and plants with no RHP pole, which are in a perfect dual form. The duality reveals that the robust stability for a plant with RHP zeros is met when the Q‐filter has a sufficiently large constant. This is fundamentally different from well‐known results for a MP plant. The stability conditions indicate that the robustness against large uncertainties not only can be achieved by a well‐selected Q‐filter, but also by the reduction of mismatch between a compensated plant and a desired model. The obtained stability results provide guidelines for the control system design. This is illustrated by three examples.
Document Type: Article
File Description: application/xml
Language: English
ISSN: 1934-6093
1561-8625
DOI: 10.1002/asjc.2188
Access URL: https://zbmath.org/7879354
https://doi.org/10.1002/asjc.2188
https://dl.acm.org/doi/10.1002/asjc.2188
https://onlinelibrary.wiley.com/doi/abs/10.1002/asjc.2188
https://onlinelibrary.wiley.com/doi/epdf/10.1002/asjc.2188
Rights: Wiley Online Library User Agreement
Accession Number: edsair.doi.dedup.....f16ae2f506118b7f10ef2a0a361d4c3e
Database: OpenAIRE
Description
ISSN:19346093
15618625
DOI:10.1002/asjc.2188