Timeline for Digital control stability for more than impulse response stability?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 11, 2020 at 14:55 | vote | accept | helloworld922 | ||
| Aug 11, 2020 at 14:55 | comment | added | helloworld922 | Ah, I think I know what my problem is. For my actual problem, y[n] is actually the exponent for the actual variable I'm interested in, so when I saw this growing to overflow somewhere in the simulation, I couldn't figure out what was wrong, even though y[n] itself will eventually stabilize. | |
| Aug 11, 2020 at 13:17 | answer | added | Matt L. | timeline score: 2 | |
| Aug 11, 2020 at 9:25 | comment | added | AJN | I couldn't reproduce unbounded output with this Octave code ? Is it same as or different from your question ? How did you simulate the system ? I have deleted my two earlier comments. | |
| Aug 11, 2020 at 8:10 | history | edited | helloworld922 | CC BY-SA 4.0 |
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| Aug 11, 2020 at 7:48 | comment | added | helloworld922 | @AJN I added the z-transform for the oscillatory input, and it does indeed have a repeat pole at \$z=-1\$, though I'm not entirely sure why that matters? | |
| Aug 11, 2020 at 7:46 | history | edited | helloworld922 | CC BY-SA 4.0 |
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| Aug 11, 2020 at 7:41 | comment | added | helloworld922 | @aconcernedcitizen I'm a bit surprised that negative inputs are not consider "bounded". Most definitions I've found for BIBO stability only require that \$\|x\|_{\infty}\$ be "finite". | |
| Aug 11, 2020 at 7:37 | comment | added | AJN | @OP can you add the z transform of the input signal also into your question ? Does it form a double pole (not a complex pair, but 2 poles at same location) on the unit circle ? That may give a clue. | |
| Aug 11, 2020 at 7:24 | comment | added | a concerned citizen | This may be beter suited for dsp.ee. That said, \$-x_0\$ falls outside BIBO, so you can't expect it to behave. Which leaves you with two choices: either change the input, or change the transfer function. | |
| Aug 11, 2020 at 7:17 | history | asked | helloworld922 | CC BY-SA 4.0 |