Output-Feedback Control of a Chaotic MEMS Resonator for Oscillation Amplitude Enhancement

<table>Poincaré section <svg height="9.04777pt" id="M47" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.99795 8.23183 9.04777" width="8.23183pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M570 168L541 175C510 88 481 71 415 71H135L378 358L167 614H348C422 614 447 608 463 588C478 571 488 546 500 500L529 504C524 559 519 633 518 650H47V628L295 324L33 23V0H531L570 168Z" id="g113-147"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="598" vert-adv-y="598"></glyph.data></g></svg> and Poincaré map <svg height="9.04777pt" id="M48" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -8.99795 8.4902 9.04777" width="8.4902pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="617" vert-adv-y="617"></glyph.data></g></svg> for the periodic vector field defined by (<a href="https://static.hindawi.com/articles/mpe/volume-2014/745963/figures/#EEq7">8</a>) and (<a href="https://static.hindawi.com/articles/mpe/volume-2014/745963/figures/#EEq8">9</a>).</table>

Mathematical Problems in Engineering

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Figure 3

Figure 3: Output-Feedback Control of a Chaotic MEMS Resonator for Oscillation Amplitude Enhancement 