Questions tagged [control-theory]
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Do transfer function changed in vertically placed spring damper system when an additional mass is added
Title: Calculating the Transfer Function and Displacement for a Spring-Damper System with Additional Mass
I am working on a problem involving a spring-damper system, and I need help with calculating ...
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Continuous Discrete State Space Properties
When we have a continuous model that we try to discretize it by using ZOH, if the first state is reachable, then what can we say about the reachability, observability and stability of the discrete ...
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Closed loop motor speed algorithms
TLDR; looking for algorithms to control a motor. I have a near-random torque, a battery current that can destroy my motor driver, and I aim for a stable output speed regardless of torque. My inputs ...
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Block Diagram Reduction in Control Systems
My professor provided a code that shows the different ways to reduce a multiple block diagram.
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A question about the necessity of the observer in control theory
I am major in mathematics and also a beginner in control theory. I have a question about the necessity of observer in control theory. Take a linear system as an example, for state variable $x(t)$ ...
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Understanding Block Diagrams in Control Setups
Working on some automation for a Boeing 747 autopilot, I am trying to wrap my head around what sections of block diagrams like this one mean:
I understand that something is being done to the yaw rate ...
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Can we reshape the root locus by adding a pole instead of a zero (as is done in PD controller) to get required Ts while O.S. being the same?
I was studying about PD controllers, which made use of adding a zero at such location which gave the required settling time(Ts) while keeping the overshoot same as it was in the uncompensated system.
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What is the relationship between classical control: transfer functions/frequency domain and the swing-up problem of an inverted pendulum
I am still pretty new to control theory, but I have been studying both classical and modern state space/optimal control ideas. I am having trouble understanding what the frequency domain/transfer ...
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How to design the control loop to synchronize two rotational objects?
There is a rotating object (object A) that rotates at about 50 rpm. Its rotational speed may change slowly. I need to control another object B via a variable frequency motor, so that the objects' ...
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Does H infinity control have to be limited to a simple 1Dof feedback architecture?
So I understand how H infinity control can be used to synthesize a controller that is in the standard error-feedback framework shown here:
https://www.researchgate.net/figure/1-DOF-feedback-control-...
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Type of Lyapunov surfaces corresponding to a specific Lyapunov function
Consider the following Lyapunov candidate function:
$$ V(x,y,q_i) = \frac{1}{2}x^2 + \frac{1}{2}y^2 + \sum_{i=1}^{n}\ln\big(\cosh(q_{i})\big) \tag1$$
where $q_{i} = \sqrt{(x-x_{i})^2 + (y-y_{i})^2} - ...
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Discretization of a PID controller
I've been given a plant transfer function to control trough a PID.
The transfer function is:
$G_{\small{p}}(s) = \frac{1}{(1+s)(1+2s)}$
Doing a little work with matlab I got this PID controller ...
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CubeSat: When designing the PID Controller of the CubeSat, what are some constraints that you need to take into account?
For a 1U CubeSat project in which we need to design the controller for it.
We decided to not include any propulsion system to keep it light, we'll just essentially drop the satellite on LEO and let it ...
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How to setup integrator action when using full-state feedback?
So I have a state-space system,
\begin{eqnarray}
\dot{\mathbf{x}}&=&A\mathbf{x} + B\mathbf{u}\tag{1}\label{EqSS}\\
\mathbf{y}&=&C\mathbf{x}\\
\end{eqnarray}
where,
\begin{eqnarray}
\...
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Why does a lead compensator with little phase contribution reduce the overshoot of the system so dramatically
I am currently designing a lead compensator to allow the following system to conform to some specific requirements: $$ G(s)=\frac{2}{s(s+2)(s+5)} $$
When using the angle criteria to meet these ...
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