Questions tagged [state-space]

State-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations. "State space" refers to the space whose axes are the state variables. The state of the system can be represented as a vector within that space.

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How to transform the state space model of the induction motor?

First of all I would like to apologize if I have chosen wrong forum. My question is related to the electrical engineering but basically it is a mathematical problem. I have the state space model of the three phase squirrel cage induction motor. The…
Steve
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How to find the characteristic equation of a third-order system?

I am currently solving a question on pole placement method and in it we develop a required characteristic equation for the system using % overshoot and settling time. I know that in a 2nd-order system, the characteristic equation is \$s^2+2\zeta…
C-137
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What is the current component at the input of dc-dc converters?

The table below describles state space analysis in the field of power electronics. It is from a paper entitled "Signal Flow Graph in Loop Gain Analysis of DC–DC PWM CCM Switching Converters by Wing-Hung Ki, Member, IEEE." As shown in the picture,…
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State Space Model for Variable Mutual Inductance

This is a hell of a request, but today I have recently introduced myself to the concept of the 'State Space' model. I've understood, to a basic level, how state space models work and I am convinced that state space is the correct method to progress…
Vhaanzeit
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What is meant by the shifting property of the companion form?

I am going through the book "Linear System Theory and Design" by Chi-Tsong Chen, where they talk about the controllable canonical form and how it is a realization of a transfer matrix. In the book, we have the following passage: What is this…
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State Space Clock Model & Control

I was hoping to get some help understanding a state space model that I have found in time and frequency literature. The literature pertains to a discrete-time model of a steered clock. A phase measurement is available, and the control input is via a…
mica
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State equations of Colpitts oscillator

I am struggling with the simple oscillator on the picture below. My aim is to obtain system of ODEs or DAE at most for numerical simulation in Matlab. But few issues occured with basic circuit theory. For a nonlinear current \$i_d\$ I suppose…
struct
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What is wrong with my inverted pendulum?

I have been making an inverted pendulum using LQR. Here's a list of my hardware: Microcontroller: Microchip WiFIRE (PIC 32) Motor Control: L298N Encoders (2x): US Digital shaft encoders (4095 counts) DC Motor: Faulhaber Coreless DC…
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Derive a State-Space Model for an Electric Circuit with three Energy Storage Components

I want to model the shown circuit diagram with a state-space model. However, I cant solve it since I obtain four unknown variables while only three of the derived equations are linear independent. Here is how I obtained my equations: The choosen…
Chris
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Obtaining the State Space representation of a microgrid by combining the state space models of the subsystems

I am trying to obtain the state space model of the DC microgrid shown in the figure. It is made of three converters connected in parallel. Each one is modeled with a voltage source that outputs the nominal voltage \$V_{ref}\$, a CCVS that models a…
FernandoPT
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Superposition in state space equation with multiple harmonics in the inputs

I have a question related to the superposition in state space equation. Suppose I have a state space equation below \begin{equation} \frac{d}{dt}X = AX + B\begin{bmatrix} u_1(t)\\ u_2(t) \\ \end{bmatrix} \end{equation} where X is the state vector,…
Fei Pan
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State-Space Model of Resonant Circuit

I am trying to determine the state-space model of the circuit shown below. Also shown are the KH equations. Those equations I put in a Solver (Mathcad), however the result does not seem correct. For example, the solver tells me that the derivative…
Daiz
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finding state space equation in x=Ax+Bu form

Can anyone please help me to find the state space equation of this circuit diagram in the form of x=Ax+Bu? The equation I am getting is not giving me square matrix. Can anyone help please? These are the steps I have…
safi2016
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Supernodes and KCL

Lets talk about Colpitts oscillator again (or the very basic circuit theory if you want). Suppose I modeled circuit as on the schematics below I am interested in systematic ways of obtaining circuit state-space equations with no ad hoc…
struct
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"state" in state space analysis?

What is meant by "state"in state space analysis? Is it something related to initial conditions such as in RLC circuit in attached snap,we have two states 1)Current through inductor 2) Voltage across capacitor
LECS
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