Stability analysis and μ-synthesis control of brake systems

• Published in: Journal of sound and vibration Vol. 298; no. 4; pp. 1073 - 1087
• Main Authors: Lignon, S., Sinou, J-J., Jézéquel, L.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 22-12-2006; Elsevier
• Subjects: Applied sciences; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Drives; Dynamical Systems; Engineering Sciences; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Mathematics; Mechanical engineering. Machine design; Mechanics; Physics; Shafts, couplings, clutches, brakes; Solid mechanics; Structural and continuum mechanics; Structural mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations; Sensitivity analysis; Control system analysis; Mode coupling; Robust stability; Vibration; Control synthesis; Modeling; Optimization; Structured singular value; Robust control; Engineering design; Friction; Order parameter; Kinematics; Dynamic stability; Instability; System identification; Brake; Dynamic model
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2006.06.033

The concept of friction-induced brake vibrations, commonly known as judder, is investigated. Judder vibration is based on the class of geometrically induced or kinematic constraint instability. After presenting the modal coupling mechanism and the associated dynamic model, a stability analysis as well as a sensitivity analysis have been conducted in order to identify physical parameters for a brake design avoiding friction-induced judder instability.
Next, in order to reduce the size of the instability regions in relation to possible system parameter combinations, robust stability via
μ-synthesis is applied. By comparing the unstable regions between the initial and controlled brake system, some general indications emerge and it appears that robust stability via
μ-synthesis has some effect on the instability of the brake system.