National Instruments Xmath Interactive Control Design Module ICDM - Manual (Page 70)

© National Instruments Corporation 8-1 Xmath Interactive Control Design Module
8
H-Infinity Synthesis
This chapter describes the H
∞ Synthesis
window used for SISO plants.
The H
∞ Synthesis
window is used to synthesize a central controller. Such
controllers are sometimes called linear exponential quadratic Gaussian
(LEQG) or minimum entropy controllers. For a description of the MIMO
Synthesis window, refer to Chapter 12,
LQG/H-Infinity Synthesis .
H-Infinity Synthesis Window Anatomy
The H
∞ Synthesis
window is shown in Figure 8-1. From top to bottom,
it consists of:
• A menu bar with entries Special, Edit, View, and Help.
• A control panel for changing the three design parameters:
– H
∞ performance level (γ)
– Control cost parameter (
ρ)
– Sensor noise parameter (
ν)
These parameters are described in greater detail later in this chapter.
• A control panel used to edit the output weight transfer function
(described in the
Output Weight Editing section).
• A plotting area that contains four plots:
– A singular value plot of the normalized closed-loop transfer
matrix along with the parameter
γ, which can be grabbed and
dragged to a new value. If a lower bound on the minimal value
of
γ is known, it also is displayed.
– A plot that shows the closed-loop poles.
– A plot that shows the poles and zeros of the output weight transfer
function. When Weight Zero Edit is enabled, the user can grab
and drag the zeros to new locations.
– A plot that shows the magnitude of the output weight transfer
function.