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publications/parallel-clqr/index.html

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<script src="./static/js/index.js"></script>
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<!--/ Abstract. -->
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<!-- Benchmarks. -->
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<h2 class="title is-3">Whole-body NMPC on SOLO-12</h2>
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<!-- Results. -->
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<h2 class="title is-3">Results</h2>
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<div>
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<h3 class="title is-4">Whole-body NMPC on SOLO-12</h3>
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<p>Computational timings for P=2 threads</p>
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<image src="./static/images/solo_timings_2cpu.png"
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alt="WBNMPC on SOLO-12, P=2 threads."
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</div>
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<p>Computational timings for P=6 threads</p>
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<image src="./static/images/solo_timings_6cpu.png"
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alt="WBNMPC on SOLO-12, P=6 threads."
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<h3 class="title is-4">Solving cyclic LQ problems</h3>
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<p>One of the side-effects of our formulation, is the ability to tackle linear-quadratic problems with cyclical constraints of the form \(G_0x_0 + G_Nx_N + g = 0\).</p>
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<p>
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The following is a two-dimensional LQ problem over \(N = 20\) steps with no initial condition but a cyclical condition \(x_0 = x_N\), and some transient costs that steer the generated trajectory close to two points \(\bar{x}_5\) and \(\bar{x}_{15}\).
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</p>
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<div class="content has-text-centered">
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<img src="./static/images/gar-cyclic-lqr-2d.png" alt="2D cyclic LQ problem"
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style="width: 60%;">
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</div>
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</div>
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<h3 class="title is-4">Synthetic benchmark on M1 Mac Studio Ultra</h3>
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<p>We solve an unconstrained LQ problem with the same dimensions as the SOLO-12 NMPC experiment.</p>
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<img src="./static/images/mac-gar-bench-timings.png" alt="" style="width: 50%;">
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</div>
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</div>
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<!--/ Benchmarks. -->
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<!--/ Results. -->
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</section>
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