# 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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### 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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### Transfer function and graphic (Scilab error)

I'm trying to solve this problem with a Scilab code: I'm trying to follow this code, but in the step [b,a]=ss2tf[A,B,C,D], it shows the error ("Wrong number of ...
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### Reducing a state space equation to a controllable and observable equation

I need to check that I'm solving this question correctly and where to go afterwards. I'm reducing the given equation to a controllable and observable equation. From the picture, it is clear the A ...
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### Finding the state space representation of a circuit

I want to find the state space equations for the following circuit. simulate this circuit – Schematic created using CircuitLab The equations I find are: Ir = I1 + I2 = (U-Vn)/2 I2 = I3 I1 = 2*...
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### Difficulty stabilizing a system using sisotool on Matlab

I am trying to design a controller for a synchronous buck converter by using the siso tool on Matlab. The inductance value is 1.28mH, the filter capacitance is at 4.8uF and the load is a 240Ohm ...
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### Modelling DC/DC-Converter

i want to model a cascaded Buck/Boost-Converter with FAST like mentioned here: https://cbasso.pagesperso-orange.fr/Downloads/PPTs/Chris%20Basso%20APEC%20seminar%202013.pdf. The goal is to implement a ...
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### State-Space Model of a Buck-Converter in DCM

I have a problem getting the State-Space Representation of an Buck-Converter in DCM. There are 2-Switch Cycles between one Period. If the Switch is closed the Circuit looks like: after applying ...
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### Finding asymptotic stability of RLC circuits

Given the state model for an RLC circuit, how can I show that it is asymptotically stable? So my state assignment is as follows: x1 = Vc x2 = iL And using the KVL and KCL equations I can get a ...
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### Why is it necessary to know a state of a system?

In a system why is necessary ? why cant we use a simple transfer funtion in an S or Z domain ,to get an input output relation , or as we already know our input and measure our outputs through sensors ?...
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### State Space Model Basics

I have added the problem with its solution. I tried applying Mason's Gain Formula which led me to the same result and it should have as Transfer Function is unique. Is there a shorter way to get ...
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### How RF Choke doubles Vcc at collector in BJT Power Amplifier

I'm trying to analyze a class A RF power amplifier as represented in the picture. The main thing I'm trying to understand is how the collector voltage can go to 2x Vcc as according to this page. ...
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### Averaging matrix is not invertible in state space averaging

I am having a problem with state averaging method. The circuit is a SIDO converter as in the figure below. This circuit is just an example to show the problem. So please don't care much about the ...
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### matrix transformation for state space matrices

Can we use matrix transformation for the A,B,C,D matrices involved in the state space analysis? e.g. In the above figure the state variables are not numbered, like which one is X1 and which one is X2 ...
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### state-space averaging with matrices not same dimension

Below are procedures for state-space averaging: Question: For some circuits, each matrix pair (A1 and A2) or (B1 and B2) doesn't have the same dimension. To be specific, A1 is not same dimension as ...
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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-...
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### Confusion on State Space Equation of Buck Converter

I'm trying to represent a buck converter in terms of state space equations. I'm assuming CCM operation and I had derived the state space equations for two modes of operations: Mode 1: Switch is ON (...
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