NDLI: Stability robustness of control system in angular metric

Content Provider	IEEE Xplore Digital Library
Author	Bin Liu Wei-fang Ci Bo-wen Huo
Copyright Year	2013
Description	Author affiliation: 91451 Troops, PLA, Handan, China (Wei-fang Ci) \|\| Sch. of Electr. & Inf. Eng., Northeast Pet. Univ., Daqing, China (Bin Liu; Bo-wen Huo)
Abstract	The robust control theory based on ∞-norm is the successful example of solving the robust control problem, which has become a fairly systematic theory. However, ∞-norm can only be used to measure the distance between two stable systems not the unstable systems. Sometimes, it is not appropriate to measure the gap of two stable systems. A new metric, angular metric, is defined in linear spaces of real rational matrices, which can measure the uncertainties and describe the performance specifications of the robust control system. In the framework of this metric, robust stability margin is proposed to characterize the stability robustness of the closed-loop system. When both the plant and the controller have uncertainties simultaneously, we introduce the structural robust stability, and prove the necessary and sufficient conditions of the robust stability of the feedback control system.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	3302
Ending Page	3307
File Size	278516
Page Count	6
File Format	PDF
ISBN	9781467355339
e-ISBN	9781467355346
DOI	10.1109/CCDC.2013.6561517
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Measurement Angular Metric Uncertainty Robust stability Unitarily Invariant Norm Robustness Stability analysis Stability Robustness Feedback control Closed loop systems
Content Type	Text
Resource Type	Article

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