Friction analysis based on integral quadratic constraints | Zendy

Rantzer A. | Zendy

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Friction analysis based on integral quadratic constraints

Author(s) -

Rantzer A.

Publication year - 2001

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.621

Subject(s) - passivity , integrator , control theory (sociology) , stiction , quadratic equation , mathematics , set (abstract data type) , computer science , engineering , physics , control (management) , computer network , microelectromechanical systems , bandwidth (computing) , quantum mechanics , artificial intelligence , electrical engineering , programming language , geometry

Passivity arguments have long been used in the analysis of systems with friction. This paper proves a new set of integral quadratic constraints, which reduces the conservatism of such methods. The result is used to derive a quantitative bound on the amount of integrator leakage that is needed to remove stiction‐induced oscillations in a servo system. Finally, an incremental version of the circle criterion is used to study the existence of subharmonics due to friction in a system subject to externally forced oscillations. Copyright © 2001 John Wiley & Sons, Ltd.

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