Time Optimal Control Laws for Bilinear Systems

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/mpe/volume-2018/5217427/figures/5217427.fig.003a.svgz" name="5217427.fig.003a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Control sequence</td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/mpe/volume-2018/5217427/figures/5217427.fig.003b.svgz" name="5217427.fig.003b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>System trajectory</td></tr></table>

<div>Open loop optimal time control for example <svg height="8.39864pt" id="M120" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.34882 6.36303 8.39864" width="6.36303pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z" id="g113-51"></path></g></svg> with BPF approach.</div>

Mathematical Problems in Engineering

Time Optimal Control Laws for Bilinear Systems

Figure 3