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fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="On-off-controller"><a class="docs-heading-anchor" href="#On-off-controller">On-off controller</a><a id="On-off-controller-1"></a><a class="docs-heading-anchor-permalink" href="#On-off-controller" title="Permalink"></a></h1><p>A common form of controller is one which can output two distinct values only, such as on/off, or 1/-1. Below, we demonstrate the usage of such a controller, the <a href="../../blocks/#ModelingToolkitSampledData.DiscreteOnOffController"><code>DiscreteOnOffController</code></a>, and let it control an unstable first-order system. The system is given by the equation</p><p class="math-container">\[τ \dot x = x + 10u\]</p><p>where <span>$τ = 100$</span> is a time constant. The controller <span>$u = f(x)$</span> is an on/off controller with a hysteresis band of 0.3 and possible output values -1 and 1. The controller runs with an update frequency of 1 Hz.</p><pre><code class="language-julia hljs">using ModelingToolkit, ModelingToolkitSampledData, OrdinaryDiffEq, Plots
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