On State-Space Modeling and Signal Localization in Dynamical Systems

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Asok Ray
Keyword(s):  
Dynamical Systems ◽  
State Space ◽  
Applied Mathematics ◽  
System Model ◽  
Theoretical Physics ◽  
Vector Spaces ◽  
Real Field ◽  
Finite Dimensional ◽  
Space Modeling ◽  
And Control

Abstract This letter focuses on two topics in engineering analysis, which are (1) degree-of-freedom (DOF) in modeling of dynamical systems and (2) simultaneous time and frequency localization of signals. These issues are explained from the perspectives of decision and control by making use of concepts from applied mathematics and theoretical physics. Specifically, a new definition is proposed to clarify the notion of “DOF,” which is consistent with the dimension of the state space of the dynamical system model. Relevant examples are presented on (finite-dimensional) vector spaces over the real field R and/or the complex field C.

State space modeling and control of the dc-dc multilevel boost converter

2010 ◽  
Author(s):  
Jonathan C. Mayo-Maldonado ◽  
Julio C. Rosas-Caro ◽  
Ruben Salas-Cabrera ◽  
Aaron Gonzalez-Rodriguez ◽  
Omar F. Ruiz-Martinez ◽  
...  
Keyword(s):  
State Space ◽  
Boost Converter ◽  
Modeling And Control ◽  
Space Modeling ◽  
State Space Modeling ◽  
And Control

USE OF STATE-SPACE MODELING TO EVALUATE AND CONTROL THE MODE SHAPES OF A LARGE-SCALE WIND TURBINE

2018 ◽  
Author(s):  
Eduardo José Novaes Menezes ◽  
Pedro Manuel González del Foyo ◽  
Alex Maurício Araújo
Keyword(s):  
Wind Turbine ◽  
State Space ◽  
Large Scale ◽  
Mode Shapes ◽  
Space Modeling ◽  
State Space Modeling ◽  
And Control

scholarly journals A Building-Block Approach to State-Space Modeling of DC-DC Converter Systems

J ◽  
2019 ◽  
Vol 2 (3) ◽  
pp. 247-267
Author(s):  
Gernot Herbst
Keyword(s):  
State Space ◽  
Building Blocks ◽  
Open Loop ◽  
System Model ◽  
Multiple Control ◽  
Control Loops ◽  
Modular Modeling ◽  
Space Modeling ◽  
State Space System ◽  
The One

Small-signal models of DC-DC converters are often based on a state-space averaging approach, from which both control-oriented and other frequency-domain characteristics, such as input or output impedance, can be derived. Updating these models when extending the converter by filters or non-trivial loads, or adding control loops, can become a tedious task, however. To simplify this potentially error-prone process, a modular modeling approach is being proposed in this article. It consists of small state-space models for certain building blocks of a converter system on the one hand, and standardized operations for connecting these subsystem models to an overall converter system model on the other hand. The resulting state-space system model builds upon a two-port converter description and allows the extraction of control-oriented and impedance characteristics at any modeling stage, be it open loop or closed loop, single converter or series connections of converters. The ease of creating more complex models enabled by the proposed approach is also demonstrated with examples comprising multiple control loops or cascaded converters.

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