Sliding-Mode Analysis of the Dynamics of Sigma-Delta Controls of Dielectric Charging

Abstract

Abstract-The purpose of this paper is to show that sigmadelta controllers of dielectric charge can be analyzed using the tools of sliding mode controllers, in the infinite sampling frequency approximation. This allows to study the dynamics of the hidden state variables related to the charge in the dielectric, as well as the reachability and stability of the control method. Furthermore, it is also possible to explain the response of the control bitstream as a function of the dynamical model of the system. This approach not only provides insight into the dynamics of the charge controllers, understood as hybrid systems, it also simplifies the modelling and simulations of the system. dielectric charge control, sliding mode control, charge trapping, switched systems, hybrid systems

Charge Trapping Control in MOS Capacitors

“…Each time a new target value is applied the control saturates (it applies only BIT0 or BIT1 waveforms) till the new C th value is reached. Once in this range, the average bitstream follows a slow time evolution, which has also been observed in previous works [19]. Finally, a distinctive feature of sigma-delta modulators is the power spectrum density of the generated bitstream.…”

“…Although these methods have substantially reduced the charge trapping in the dielectrics, shift of the C-V characteristic due to charge trapping still represents a reliability issue in MOS transistors and capacitors. The purpose of this paper is to show how a simple control technique, based on Sliding Control [19], can be used to deliberately shift the C-V characteristic to a desired operation point, either for compensating dielectric charging or for other circuital requirements.…”

“…The method is similar to that used in MEMS devices, [19], [20], consisting on the application of bipolar actuation voltage stresses and a sigma-delta modulation control loop. It has been successfully demonstrated in silicon dioxide MOS capacitors.…”

Closed-Loop Compensation of Charge Trapping Induced by Ionizing Radiation in MOS Capacitors

“…The control method implemented in this work, presented in [13], is based on sigma-delta modulation [15], used as a tool to provide a sliding mode control of net trapped charge [16], [17].…”

“…Sigma-delta modulators have also been linked to sliding mode controllers, [16], [17]. The link comes from the fact that the modulator tries to minimize the quantization noise of the quantizer (in the case of Fig.…”