H-Infinity Performance Limitations for Problems with Sensor Time Delays

Control;Time Delay;Estimation;Performanc Limitations;Electrical and Computer Engineering

Gaudette, Darrell

University of Waterloo

关键词: Control;    Time Delay;    Estimation;    Performanc Limitations;    Electrical and Computer Engineering;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/3512/1/thesis2.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

Motivated by ongoing research into automating radiotherapy, this thesis is concerned with linear feedback control and estimation problems where only a delayed output signal is measurable.Various discrete-time performance limitations are derived using tools from model-matching theory as well as the early $H_infty$ literature.It is shown that there exist performance limitations for both one-degree-of-freedom control and estimation problems, but the nature of the limitations differs depending on whether the plant is stable or unstable.Some continuous-time performance limitations are also found, with more complete results in the case where the plant is unstable.Extensions of the various performance limitation to two-degree-of-freedom control are also studied.