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An algorithm for LQ optimal actuator location

delete2013-01-28
delete59
PRE
AI
N
Neda Darivandi *
K
Kirsten Morris
A
Amir Khajepour
DOI:10.1088/0964-1726/22/3/035001delete
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Abstract

Abstract

En 中文
The locations of the control hardware are typically a design variable in controller design for distributed parameter systems. In order to obtain the most efficient control system, the locations of control hardware as well as the feedback gain should be optimized. These optimization problems are generally non-convex. In addition, the models for these systems typically have a large number of degrees of freedom. Consequently, existing optimization schemes for optimal actuator placement may be inaccurate or computationally impractical. In this paper, the feedback control is chosen to be an optimal linear quadratic regulator. The optimal actuator location problem is reformulated as a convex optimization problem. A subgradient-based optimization scheme which leads to the global solution of the problem is used to optimize actuator locations. The optimization algorithm is applied to optimize the placement of piezoelectric actuators in vibration control of flexible structures. This method is compared with a genetic algorithm, and is observed to be faster and more accurate. Experiments are performed to verify the efficacy of optimal actuator placement.
Keywords:
ACTIVE VIBRATION CONTROL
PIEZOELECTRIC ACTUATORS
OPTIMAL PLACEMENT
FLEXIBLE STRUCTURES
SENSOR PLACEMENT
SMART STRUCTURES
OPTIMIZATION
FIN

Journal

Smart Materials and Structures cover
Smart Materials and Structures
IF:
3.8
Papers:
8.5K
Citations:
2.5W

Organization

U
University of Waterloo
Scholars:
2.2W
Papers: 2.3W
Citations: 3.3W