University of Twente Student Theses


Non-linear dynamic control for positive-real systems

Baaij, R.R.C. de (2021) Non-linear dynamic control for positive-real systems.

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Abstract:In this research a non-linear controller called the Hybrid Integrator-Gain System has been designed and analysed. The controller switches between integrator and gain control and it generates a control signal of the same sign as its input signal. It has been applied to the positive real system of the vibrating string. That system is an example of a linear Port-Hamiltonian system. In such systems the change in energy in the system is equal to the product of the input and output of the system. The model of the vibrating string has been approximated and is connected to the Hybrid Integrator-Gain System and integrator and gain control separately. The energy and stability of the resulting closed loop feedback system has been analysed. Although the integrator control does not stabilise the vibrating string on its own, the Hybrid Integrator-Gain System stabilises the system and the energy in the system decreases monotonically.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics MSc (60348)
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