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This paper deals with model order reduction for linear stable discrete-time systems while minimizing the lscrinfin-gain of the error system. Our approach considers explicitly time domain performance and not frequency domain performance like most other approaches do. A convex programming problem expressed in terms of linear matrix inequalities combined with a line search algorithm is formulated to...
The operation speed and tracking accuracy of piezoelectric tube actuators in scanning probe microscopy is significantly reduced due to the excitation of the scanner eigenfrequencies by the driving voltages. Feedback control is a suitable method for vibration suppression but suffers from the required additional sensor equipment and high cost for generation of a displacement feedback signal. Operating...
This article presents an extended modeling approach for piezoelectric tube actuators combining finite element analysis (FEA) and model order reduction (MOR) techniques. The model includes the full coupling between motion in all axes, while the reduced model order, which depends mainly on the desired bandwidth and model accuracy, makes it a suitable basis for controller design purposes. Simulation...
Given a complex first principles model of a process, a strategy for model complexity reduction is developed, such that the model obtained is suitable for process control. The system is assumed to have a Volterra representation that can be parametrized in terms of basis functions with fixed poles. The approach taken consists of an iteratively using system identification techniques on the complex system...
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