Abstract
In the paper, we propose distributed feedback control laws for active damping of one‐dimensional mechanical structures equipped with dense arrays of force actuators and position and velocity sensors. We consider proportional position and velocity feedback from the neighboring nodes with symmetric gains. Achievable control performance with respect to stability margin and damping ratio is discussed. Compared to full‐featured complex controllers obtained by modern design methods like LQG, H‐infinity, or mu‐synthesis, these simplistic controllers are more suitable for experimental fine tuning and are less case‐dependent, and they shall be easier to implement on the target future smart‐material platforms.
Highlights
Erefore, there is a need to use other type of control methodologies, and recent advances in MEMS sensors and microactuators, ongoing intensive research on new smart materials, and progress in computational power pave the way to massive development of heavily distributed control in this context
Distributed control is a very active field of research, thanks to potential applications which require high scalability and reliability. e main advantage of using distributed control is the locality of the necessary measurement and actuation—the measurements are collected and processed in a distributed manner. is kind of control can be applied for automated highway systems [9], car formations [10], and flexible structures. e work in [11], for instance, studies a flexible beam model with bending and torsion motions, and a distributed arrangement with two force-actuators and three moment-actuators paired with rate gyros was elaborated
Structured Control Laws for Smart Materials e paper presents an attempt to systematic proportional decentralized position-velocity feedback for active damping of mechanical structures equipped with dense arrays of force actuators and position and velocity sensors
Summary
Erefore, there is a need to use other type of control methodologies, and recent advances in MEMS sensors and microactuators, ongoing intensive research on new smart materials, and progress in computational power pave the way to massive development of heavily distributed control in this context. The presented control design is focused on investigation of feasible damping ratio of the least damped mode and achievable stability margin of all modes. E ratio of imaginary and real part of the least damped mode that corresponds to λmin is given by ξmax IRme ss11
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