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Stability analysis and control of periodic solutions in forced nonlinear systems

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Abstract:
The problem of stabilizing periodic solutions is receiving increased attention in nonlinear control engineering, also due to its implications for control of complex and chaotic dynamics. Several controller structures have been proposed, mainly originating from the field of experimental physics.However, design and synthesis tools are often lacking. In this talk, an attempt will be made to tackle the problem of controlling complex dynamics using classical feedback control theory. The idea is to introduce a general framework based on classical frequency-domain tools, such as Circle Criterion and some of its generalizations, for the linearized stability analysis of periodic orbits in a general class of systems. The potentials of the IQC (Integral Quadratic Constraints) approach will be also briefly explored. Some application examples will motivate the discussion and serve as a testing ground for the proposed framework.

Type of Seminar:
Public Seminar
Speaker:
Lorenzo Giovanardi
Dipartimento di Sistemi e Informatica Universitą di Firenze - Italy
Date/Time:
Mar 02, 2000   10:45
Location:

ETHZ, ETL K 25, Physikstr.6,8006 Zurich
Contact Person:

Dr. A. Bemporad
No downloadable files available.
Biographical Sketch:
Lorenzo Giovanardi received his M.S. degree in electrical engineering in 1997 from the University of Florence, Italy. After a one-year working experience in industry, in 1998 he joined the Department of Systems and Computer Science at the same university, where he is working towards his Ph.D. in Systems Engineering. His main interests are in stability of feedback systems, periodic solutions and chaotic systems. He is currently an academic guest of the IFA at the ETH