Chapter 1 Introduction
Xmath Control Design Module 1-2 ni.com
particular system properties or to change the format of a system. These
topics include continuous/discrete system conversion, as well as
finding equivalent transfer function state-space representations.
• Chapter 3, Building System Connections, details Xmath functions that
perform different types of linear system interconnections. It also
discusses a number of simpler connections that have been
implemented as overloaded operators on system objects.
• Chapter 4, System Analysis, describes the Xmath functions relating to
system stability and time-domain analysis. These include poles, zeros,
and residue. The chapter moves from the discussion of time-domain
stability to time-domain system simulation. Xmath provides built-in
functions for obtaining impulse and step responses, as well as
examining system response to arbitrary initial conditions. In addition,
the General Time-Domain Simulation section discusses a
mathematically natural syntax for time-domain system simulation
with any input.
• Chapter 5, Classical Feedback Analysis, discusses topics pertaining
to classical feedback-based control design. These include root locus
techniques and functions for frequency-domain analysis of
closed-loop systems, given open-loop system descriptions.
• Chapter 6, State-Space Design, focuses on modern control. Beginning
with the topics of system controllability and observability, it covers
general pole placement, linear quadratic control, and system
balancing.
Bibliographic References
Throughout this document, bibliographic references are cited with
bracketed entries. For example, a reference to [DeS74] corresponds to
a document published by Desoer and Schulman in 1974. For a table of
bibliographic references, refer to Appendix A, Technical References.
Commonly Used Nomenclature
This manual uses the following general nomenclature:
• Matrix variables are generally denoted with capital letters; vectors are
represented in lowercase.
•G(s) is used to denote a transfer function of a system where s is the
Laplace variable. G(q) is used when both continuous and discrete
systems are allowed.