This paper introduces a decentralized shape and vibration controller for structures with large and potentially unknown system order, model-parameter uncertainty, and unknown disturbances. Controller implementation utilizes distributed, colocated, and independent actuator–sensor pairs. Controller design requires knowledge of the relative degrees of the actuator and sensor dynamics and upper bounds on the diagonal elements of system's high-frequency gain matrix. Closed-loop performance is determined by a parameter gain, which can be viewed as the cutoff frequency of a low-pass filter. For sufficiently large parameter gain, the closed-loop performance is arbitrarily small. Numerical examples are used to demonstrate the application and effectiveness of the decentralized controller, and we present experimental results for a setup consisting of a cantilever beam with piezoelectric actuators and strain-gauge sensors.
Decentralized Vibration and Shape Control of Structures With Colocated Sensors and Actuators
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 27, 2015; final manuscript received December 17, 2015; published online January 18, 2016. Assoc. Editor: Douglas Bristow.
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Ghasemi, A. H., Hoagg, J. B., and Seigler, T. M. (January 18, 2016). "Decentralized Vibration and Shape Control of Structures With Colocated Sensors and Actuators." ASME. J. Dyn. Sys., Meas., Control. March 2016; 138(3): 031011. https://doi.org/10.1115/1.4032344
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