controller structure & nonsmooth programming - Pierre Apkarian - Free
controller structure & nonsmooth programming - Pierre Apkarian - Free
controller structure & nonsmooth programming - Pierre Apkarian - Free
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challenges <strong>nonsmooth</strong> opt. MATLAB tools The End<br />
<strong>controller</strong> design as <strong>nonsmooth</strong> program<br />
• optimization problems are <strong>nonsmooth</strong> and/or nonconvex<br />
• but gentle special composite <strong>structure</strong> with cast<br />
minimize<br />
x<br />
max λ 1 ◦ T (x, ω)<br />
ω∈Ω<br />
Ω index set freq. or times<br />
where max Ω∈Ω λ 1 is convex but <strong>nonsmooth</strong><br />
T (x, Ω) differentiable but nonconvex wrt. x, ∀ω<br />
<strong>controller</strong> <strong>structure</strong> & <strong>nonsmooth</strong> <strong>programming</strong> - http://pierre.apkarian.free.fr<br />
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