In this article we illustrate how the property of differential flatness can be advantageously joined to the sliding mode controller design methodology for the active stabilization of nonlinear mechanical vibration systems. The proposed scheme suitably combines off-line trajectory planning and an on-line “smoothed” sliding mode feedback trajectory tracking scheme for regulating the evolution of the flat output variables toward the desired equilibria. [S0022-0434(00)00404-4]
Sliding Mode Control of Nonlinear Mechanical Vibrations1
Contributed by the Dynamic Systems and Control Division for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the Dynamic Systems and Control Division February 25, 2000. Associate Technical Editors: E. Misawa and V. Utkin.
Sira-Ramı´rez, H., and Llanes-Santiago, O. (February 25, 2000). "Sliding Mode Control of Nonlinear Mechanical Vibrations." ASME. J. Dyn. Sys., Meas., Control. December 2000; 122(4): 674–678. https://doi.org/10.1115/1.1316788
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