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# Questions tagged [stability]

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11 votes
2 answers
422 views

### Is a chair with N+1 wheels ever less stable than a chair with N wheels?

My workplace has a policy to provide standing desks upon request, but no policy to provide chairs of matching height. (I work for the government...) We can buy our own, or build our own. However ...
• 263
7 votes
3 answers
339 views

0 votes
1 answer
111 views

### Basic questions about power grid stability with variable loads and sources

I am curious about integration of renewable energy in electricity grids. I am a mechanical engineer and understand energy and power but I have little knowledge about electricity. I will be thankful if ...
• 148
0 votes
2 answers
82 views

### Describe the magnitude of a force using real-life comparisons instead of numbers

I already asked this on physics.se, I got a suggestion to ask here, but the question became too old to migrate before I decided to do it. I did also receive an answer, and I am grateful for it but ...
• 101
0 votes
1 answer
53 views

### Determining stability of a current souce from the datasheet. How to?

Is there any way to calculate the stability of an instrument such as current sources and digital voltmeters from their datasheet? Let me provide one example. My application requires stable current ...
• 11
0 votes
1 answer
152 views

### If a system is globally asymptotically stable AND locally exponentially stable, can we say claim that it is globally exponentially stable?

I am taking a nonlinear control class. As we were discussing stability, we came across 'weaker' and 'stronger' stability conditions. For example asymptotic stability (AS) is stronger than stability in ...
• 1
0 votes
1 answer
160 views

### stability/controllability of a finite time linear quadratic regulator

If I have a linear quadratic regulator (quadratic objective function with linear dynamics) and use an open loop control - are there stability/controllability requirements on the system? I know that ...
0 votes
0 answers
34 views

### 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 ...
0 votes
3 answers
91 views

### I don't understand how the pneumatic control precession actuation on the Brennan Monorail's gyros further balances the vehicle

I linked a YouTube video from Primal Space, The Self Balancing Monorail, discussing how the Brennan Monorail works. @6:40 timestamp the narrator explains how the pneumatic pressure "[pushes] the ...
0 votes
0 answers
13 views

### Accuracy of stable (not backward stable) numerical algorithm

I understand the definition of accuracy for a backward stable numerical algorithm, which shows how such a quantity depends both on machine-epsilon and on the condition number of the problem under ...
0 votes
1 answer
45 views

### Stability properties of controllers with independent control laws applied in underactuated systems

I am interested in designing a GNC controller for a 3DOF underactuated vehicle that follows a path in 2D space. The two available control inputs are the thrust force in the surge direction and a ...