On mixed H2=H∞ controller design for systems with time delay
Author
Ghomi, Meysam
Advisor
Özbay, Hitay
Date
2018-07Publisher
Bilkent University
Language
English
Type
ThesisItem Usage Stats
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Abstract
This study discusses mixed H2=H∞ controller design problem for uncertain Linear
Time-Invariant (LTI) systems with a time delay. More precisely, the goal is
to find an internally stabilizing controller that minimizes the H2 performance
measure subject to robust stability condition which bounds the H∞ norm of the
weighted closed loop transfer function. Two different methods are used to find
the optimal H2 controller. The first method is inspired from the H∞ control
design to reduce the two block problem into one block. Second method, however
is the implementation of the Mirkin's formula. These methods are compared and
their pros and cons are discussed. The key point in the optimal controller is that,
it is in Smith predictor form that includes an internal feedback in the form of
an Finite Impulse Response (FIR) filter. These types of controllers are easy to
implement and programmed in physical systems. A case study is considered to
show the exact way to controller design. The simulation results and the effects
of delay term on the performance measure are also provided.