Generalized nonlinear stiffness identification on controlled mechanical vibrating systems. (English) Zbl 1432.93065
Summary: A new algebraic parametric identification method in time domain for multiple degrees-of-freedom mechanical vibrating systems with high-order nonlinear stiffness is proposed. Parameters of mass, damping and linear and nonlinear stiffness are estimated on-line and, simultaneously, using transient real-time position measurements and active control force signals. Parametric identification can be applied for real-time estimation of both symmetrical and non-symmetrical stiffness. Parametric identification is combined with adaptive planned motion control on multiple-input-multiple-output nonlinear mechanical vibrating systems. Analytical and numerical results prove the effectiveness and efficiency of the proposed on-line algebraic parametric identification approach.
MSC:
| 93B30 | System identification |
| 93C35 | Multivariable systems, multidimensional control systems |
| 93B25 | Algebraic methods |
| 93C10 | Nonlinear systems in control theory |
| 70Q05 | Control of mechanical systems |
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