National Instruments Xmath Interactive Control Design Module ICDM User Manual

Page 12

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Chapter 1

Introduction

Xmath Interactive Control Design Module

1-2

ni.com

Chapter 5,

Root Locus Synthesis

, describes the user interface,

terminology, and parameters used for root locus synthesis.

Chapter 6,

Pole Place Synthesis

, discusses the Pole Place synthesis

window, which is used to design a SISO controller by assigning the
closed-loop poles.

Chapter 7,

LQG Synthesis

, discusses the LQG synthesis window

which is used to synthesize a linear quadratic Gaussian (LQG)
controller for a SISO plant.

Chapter 8,

H-Infinity Synthesis

, 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.

Chapter 9,

History Window

, describes the History window used for

SISO plants. The History window is used to display and manipulate the
design history list, which is a list of controllers that have been
explicitly saved during the design process.

Chapter 10,

Alternate Plant Window

, describes the form of the

Alternate Plant window used for SISO design.

Chapter 11,

Introduction to MIMO Design

, provides an introduction

to MIMO design building on the earlier discussions of SISO design.
ICDM automatically switches between SISO and MIMO modes
depending on the plant that is read in.

Chapter 12,

LQG/H-Infinity Synthesis

, describes the MIMO LQG/H

synthesis window. The LQG/H

∞ window is used to synthesize both

LQG and H

∞ controllers. The two design methods have been

combined in a single window because of the similarity regarding the
use of weights: constant weights, frequency-dependent weights, and
integrators.

Chapter 13,

Multi-Loop Synthesis

, describes multi-loop synthesis. The

multi-loop window is used to synthesize a MIMO controller using PID
and Root Locus methods, applying them one loop at a time. In many
practical industrial applications, this is the way control systems are
designed for complex multivariable plants.

Appendix A,

Using an Xmath GUI Tool

, describes the basics of using

an Xmath GUI tool. Throughout this manual, extended examples
following each function discussion help pinpoint the flexibility and
applicability of the Interactive Control Design function library. This
appendix describes the basics of using an Xmath GUI tool.

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