System analysis via integral quadratic constraints

1997/06/01 by A. Megretski, Alexandre Megretski, A. Rantzer +1 · 34 citations
Engineering · #Stability and Control of Uncertain Systems #Control and Stability of Dynamical Systems #Advanced Control Systems Optimization

paper · doi:10.1109/9.587335

Abstract

This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich (1967), the approach has been developed under a combination of influences from the Western and Russian traditions of control theory. It is shown how a complex system can be described, using integral quadratic constraints (IQC) for its elementary components. A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality. A systematic computational approach is described, and relations to other methods of stability analysis are discussed. Last, but not least, the paper contains a summarizing list of IQCs for important types of system components.

Citations

• Dissipative dynamical systems part I: General theory

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