H∞ attenuation of disturbance switching over multiple frequency ranges

Summary This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequenc...

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Bibliographic Details
Published in:International journal of robust and nonlinear control Vol. 34; no. 11; pp. 7520 - 7546
Main Authors: Cai, Chenxiao, Song, Xiaoqi, Liu, Jason J. R., Cheng, Peng, Lam, James
Format: Journal Article
Language:English
Published: Bognor Regis Wiley Subscription Services, Inc 25.07.2024
Subjects:
average dwell time
Control methods
disturbance attenuation
Dwell time
Frequency ranges
generalized Kalman‐Yakubovich‐Popov lemma
H-infinity control
H∞$$ {H}_{\infty } $$ control
Iterative algorithms
switched system
Switching
Time setting
ISSN:1049-8923, 1099-1239
Online Access:Get full text
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Summary:Summary This paper addresses the problem of switching control for systems subject to external disturbances that vary over multiple frequency ranges. Specifically, two different scenarios of disturbance injection are considered; namely, the disturbance may switch between different prescribed frequency ranges, subject to an average dwell time setting, or the disturbance may reside within one of the frequency ranges. To address these scenarios, a disturbance‐triggered control scheme is developed that divides the entire frequency range into low‐, mid‐, and high‐frequency ranges. This scheme ensures closed‐loop stability under average dwell time frequency‐range switching and achieves H∞$$ {H}_{\infty } $$ performance when operated under individual frequency ranges. Synthesis conditions in matrix inequalities are derived to characterize the switching control, and an iterative algorithm is proposed for finding a desired set of controller gains. Finally, two examples are presented to illustrate the effectiveness of the proposed control method.
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7357