Page 753 - The Mechatronics Handbook

24

State Space Analysis

and System Properties

24.1 Models: Fundamental Concepts
24.2 State Variables: Basic Concepts
Introduction • Basic State Space Models • Signals and State
Space Description
24.3 State Space Description for Continuous-Time
Systems
Linearization • Linear State Space models • State Similarity
Transformation • State Space and Transfer Functions
24.4 State Space Description for Discrete-Time
and Sampled Data Systems
Linearization of Discrete-Time Systems • Sampled Data
Systems • Linear State Space Models • State Similarity
Transformation • State Space and Transfer Functions
24.5 State Space Models for Interconnected
Systems
24.6 System Properties
Controllability, Reachability, and Stabilizability
• Observability, Reconstructibility, and Detectability
• Canonical Decomposition • PBH Test
24.7 State Observers
Basic Concepts • Observer Dynamics • Observers and
Measurement Noise
Mario E. Salgado
24.8 State Feedback
Universidad Técnica Federico
Basic Concepts • Feedback Dynamics • Optimal State
Santa María
Feedback. The Optimal Regulator
Juan I. Yuz 24.9 Observed State Feedback
Universidad Técnica Federico Separation Strategy • Transfer Function Interpretation for
Santa María the Single-Input Single-Output Case
24.1 Models: Fundamental Concepts

An essential connection between an engineer/scientist and a system relies on his/her ability to describe
the system in a way which is useful to understand and to quantify its behavior.
Any description supporting that connection is a model. In system theory, models play a fundamental
role, since they are needed to analyze, to synthesize, and to design systems of all imaginable sorts.
There is not a unique model for a given system. Firstly, the need for a model may obey different
purposes. For instance, when dealing with an electric motor, we might be interested in the electro-
mechanical energy conversion process, alternatively, we might be interested in modelling the motor either
as a thermal system, or as a mechanical system to study vibrations, the strength of the materials, and so on.

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