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 do you combine state space models of a large power circuit having control circuit?

I am trying to model a hybrid network using state-space representation. How do I start? I have modeled the individual circuit figures. but I don't know how to proceed with combining the control and ...
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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 ...
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How to determine state equations based off of states and input?

How does one determine the state equations for a system when given the input and states? For example, given the following input and states, what would the state equations be? u = ÿ x1 = y x2 = ẏ
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State Space Representation for Initial Conditions

I am trying to design a system in which a capacitor's current discharge into an inductor is controlled by a MOSFET. I am trying to use a closed-loop control system to control the MOSFET's Vgs, and ...
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What is the difference between state variable and algebraic variable?

A set of differential-algebraic equations (DAE) can be represented as $$\frac{dx}{dt}=f(x,z,u)$$ $$0=g(x,z,u)$$ where \$x\$ = state variable, \$z\$ = algebraic variable, and \$u\$ = input variables. ...
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State space model of a PWM driven circuit

I am trying to write down the state space model of the circuit given below: As it can be seen above, a P channel mosfet transistor is driven by a PWM signal. I am trying to model the circuit ...
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Cannot obtain a generalized state space averaged model for simple wireless power transfer system

this is the first time I ask a question. I am currently working on finding a state space model of the following system : where \$U_i\$ is a square wave of amplitude \$U_{in}\$. This circuit ...
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Digital implementation of State Space

I have a question regarding a digital implementation of a State Space controller. I have some rules of thumb when designing; when implementing the observer as well as the sample frequency. I say that ...
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Quick state feedback controller question

If two estimators where used in a state feedback system, one with error dynamics poles at -10 and -9 and another one at -80 and -90. Which system will give you a better overall performance?
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Implementing quadratic linear regulator (lqr) in simulink

I am working with a non-linear model of a hot-air balloon. I have linearized the system, found the operating point, the state space matrices and I know these are correct:- ...
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Differential Equation to state spaces representation

I have to find the transfer function and state-space representation of the following first-order differential equation that represents a dynamic system: $$5\, \dot{x}(t) +x(t) = u(t) \\$$ The first ...
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State space model in the form of dx/dt=AX+BU

V=IZg V=IaZ IaZ=IZg LdIc/dt+RIc=(L+Lg)di/dt+(R+Rg)i simulate this circuit – Schematic created using CircuitLab Hi , how can I get state space model in the ...
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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 ...
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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 ...
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Space State on SEP/Ex DC-Motor

I'm currently studying DC motors and I do have some doubts about the dynamics of it. As per explained on [Guru, B.S. and Hiziroglu, H.R., 2001. Electric machinery and transformers (Vol. 726). New York:...
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Going from transfer function to state space model

This is section from Linear Systems Control by Hendricks, and it is about going from a transfer function to a state space: - In eq. 2.40 they have a transfer function \$\frac{Y(s)}{U(s)} \$, where \$...
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What are the transfer functions of \$G(s)+G(s)^*\$ and \$G(s)-G(s)^*\$?

Consider the following system: \begin{align} &\dot{x}(t)=Ax(t)+Bu(t),\\ &y(t)=Cx(t), \end{align} where \$x\in\mathbb{C}^n\$ is the state and \$y\in\mathbb{C}^m\$ is the output, \$A,B,C\$ are ...
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Dynamic model of the three phase inverter with LCL filter suitable for controllers design

I have been working on a dynamic model of the three phase grid forming inverter i.e. following power electronics circuit It is basically a three phase voltage source inverter with the LCL filter at ...
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Independent and dependent initial conditions

Consider the RLC circuit below. In fact, it is a normalized filter with Butterworth approximation of 3rd order. Now suppose that for some reason I am interested in the time domain formulation. Using ...
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error in dimension for adder in negative feedback loop

im a universiity student i was trying to model this state space with simulink i tried to use the state block but got the same error i think i need to use mux i already checked the dimensions for A B C ...
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How to estimate derivative of state in state-space model?

I would like to know what would be the best way to estimate a derivative of state of state-space model. I one would like to estimate one of the state, then the Kalman filter should work just fine. ...
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How to get second derivative of state as a output of state-space model?

Let's say modeling the free-falling object on state-space. Obviously, the equation of motion is a second order differential equation of the vertical position of the object. And one would normally set ...
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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 ...
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Small signal modelling of buck converter, varying frequency

It seems that the most popular method of voltage mode control of buck converters is by varying the duty cycle. Is this because it is easier to do so because we can set the duty cycle using PWM ICs? ...
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Space state circuit modeling question

i have a question about this circuit and its space-state modeling. I have the node A, modeled by $$I_{C_1}= I_{C_2}+ I_{R_1}$$ But i don't know what can I do. I already know that $$V_{R_1}=V_{C_2}$$ ...
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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 ...
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Is there software with CAS to solve drawn electrical circuit in form of differential equations which describes that electrical circuit?

Is there any software with Computer Algebra System to solve drawn electrical circuit in the form of differential equations which describe that electrical circuit? Or to write symbolic solution (...
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State Vector vs State-Space

I wonder if there is anything common in the concept of 'State vector' and 'State-Space'? Are they anyway related to each other or they are completely different ideas?
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Setting the initial output value for state space block in MATLAB

I've got the following control loop in Simulink: What I'm trying to do is to set the initial value for the output to be 23, right now it starts from 0 and I can't find any explanation how that's done,...
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Simulate and compare the responses of a linear and non linear system

A metalic object is held up in air under an electromagnet. The vertical displacement of the object can be described by the following differential equation $$ m\frac{d^2H}{dt^2} = mg-k\frac{I^2}{H^2} $$...
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Show A Non-Min Phase System Cannot be Controlled via Controllability Matrix?

I've been reading about how a non-minimum phase system with a Right-Half Plane Zero and Right-Half Plane Pole can become impossible to control IF the RHP Pole becomes faster than the RHP Zero. I was ...
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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....
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State Space Averaging combined with Static Analysis

In class we learned about State Space Averaging Mathod to analize DC-DC converter topologies. Therefore we defined a stete vector x containing variables proportinal to the stored energy in a circuit ...
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Help to construct a State space model of a unipolar stepper motor with shorted phases

I hope to get some help on an interesting task - I cannot seem to get my model to work which is my I ask for help here. I am trying to construct a model of the unipolar stepper (seen below in the ...
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Linearization of Non Linear State Space Model

Im designing a PI controller for a Maglev experiement but im a little stuck on how to linearize the non linear state space model. I have developed the state equations (seen below) and i know the ...
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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) ...
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Why are state variables sufficient to describe the exact future temporal dynamics of a system

I'm confused about state-space state variables. How come knowing the initial conditions with the input 'determine completely the future behavior of the system'? From such knowledge, I can only ...
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Balancing a stick using two different designs and comparing both

I want to understand which feedback systems are in general preferred over another model (that I'm going to show in image),so first we take a example of a particular system (here stick at 90degree from ...
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What is significance of these variables in given block diagram of system

This figure is from book by Norman S. Nise and can anyone explain me following variables and their effect on the system 1.'r' , as far as I know it is reference and here author considered its value ...
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BLDC motor simulation

I would like to simulate BLDC motor in programming language other than Matlab or Simulink, but have problem with several equations and inverter output. BLDC motor scheme is following: After searching ...
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Confusion in selecting number of state variables

Generally we take no. Of state variable equal to number of independent energy storing elements , let's take two examples - 1.a RC circuit with voltage source as an input ,so here we can take ...
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Is transformation from one state representation to other state representation changes the transfer function of the system

I was reading about designing of controller by state state model from book by Norman S. Nise And author suggested that if state space representations given in problem are of form other than phase ...
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Controller design

I was reading controller design using State space model from book by Norman S. In that topic, the author suggested to design controller by converting given state space represention into phase variable ...
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state equation from given signal flow graph

I was solving a question in which I have to write state equations from given signal flow graph ,but I wanted to clear some basic doubts regarding general problem like this I thought it can we solve ...
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State space representation of parllel RLC circuit

I just started reading state space representation from book by (Norman s.) and in this book all examples of state space representation are either of series RLC with voltage source as an input or ...
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From where does State space model equations come from?

I have a good basic understanding on classical control theory. Now I am studying modern control theory.I encountered the following equations as seen below. Online I have only been able to find ...
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State Space Average Model of Non-Ideal Buck Converter

I've been learning power electronics and am trying to design a dual-switch forward converter. One of the things I've been trying to do is derive the small-signal equivalent circuit of the non-ideal ...
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State-Space Equation

Hi everyone. Please i am trying to derive the state space representation of the circuit above. Please i need some help or a textbook for better understanding of this.
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Non-ideal transimpedance dynamic model

I want to determine a dynamic model (transfer function or state-space) of a non-ideal transimpedance amplifier to which is connected a photodiode at its input and a load (RC parallel). simulate this ...
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State-Space-Model from more dimensional Transfer-Function

Im trying to extract the State-Space-Model for an cascaded Buck/Boost-Converter from an set of Transfer-functions \$ G(s)\$ (which I generated with Plecs/Matlab). First of all I want to analyse the ...
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