NDLI: A dissipation inequality formulation for stability analysis with integral quadratic constraints

Content Provider	IEEE Xplore Digital Library
Author	Seiler, P. Packard, A. Balas, G.J.
Copyright Year	2010
Description	Author affiliation: Aerospace and Engineering Mechanics Department, University of Minnesota, USA (Seiler, P.; Balas, G.J.) \|\| Department of Mechanical Engineering, University of California, Berkeley, USA (Packard, A.)
Abstract	Integral quadratic constraints (IQCs) provide a general framework for robustness analysis of feedback inter-connections. The main IQC stability theorem by Megretski and Rantzer was formulated with frequency domain conditions that depend on the IQC multiplier. Their proof of this theorem uses a homotopy method and operator theory. An interesting aspect of this theory is that input/output stability (defined as uniformly bounded gain over all finite horizons) is established using integral constraints that only hold, in general, on infinite time horizons. The use of IQCs that only hold over infinite time horizons is related to the use of noncausal multipliers in absolute stability theory. This paper shows that if the conditions of the IQC stability theorem are satisfied by any rational IQC multiplier then a dissipation inequality is satisfied by a quadratic storage function. This provides a new interpretation for IQC analysis in terms of quadratic storage functions and a causal, finite-horizon dissipation inequality.
Starting Page	2304
Ending Page	2309
File Size	193160
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717073
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability analysis Time domain analysis Frequency domain analysis Linear matrix inequalities Polynomials Linear systems
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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