vault backup: 2024-08-29 15:58:43
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.obsidian/hotkeys.json
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.obsidian/hotkeys.json
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],
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"editor:open-search-replace": [],
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"editor:insert-link": [],
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"editor:toggle-checklist-status": []
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"editor:toggle-checklist-status": [],
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"editor:toggle-strikethrough": [
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{
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"modifiers": [
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"Mod"
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],
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"key": "-"
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}
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]
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}
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.obsidian/workspace.json
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}
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],
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"direction": "horizontal",
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"width": 245.5
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"width": 343.5
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"left-ribbon": {
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"hiddenItems": {
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<mark style="background: #FFB86CA6;">Examining the robustness of a <mark style="background: #FFF3A3A6;">controller</mark> requires additional mathematical formalism of a system, and analysis of perturbations to a nominal plant model.</mark>
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<mark style="background: #FF5582A6;">Perturbations can be considered as two forms--structured and unstructured perturbation.</mark>
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<mark style="background: #ADCCFFA6;">Unstructured perturbation in particular allows the perturbation to take on any transfer function (or transfer matrix), such that the gain of the transfer function remains less than one.</mark>
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If a controlled system remains stable for the nominal plant and all possible perturbations, it is considered robust.
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If a <mark style="background: #FFB86CA6;">controlled system</mark> remains stable for the ~~nominal plant and all possible perturbations~~ all possible perturbations within the set, it is considered robust.
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To actually validate this statement with actual perturbations is a difficult problem.
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Generating perturbations is not trivial because there is so much possibility for the form of an unstructured perturbation.
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For an engineer to accomplish this task today one of two things happens:
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