State-Feedback Sampled-Data Control Design for Nonlinear Systems via Passive Theory

<table>Response of <svg height="16.625" id="M248" style="vertical-align:-3.56265pt" version="1.1" viewbox="0 0 25.637501 16.625" width="25.637501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.138)"><path d="M445 291q0 -92 -46 -162.5t-111 -102.5q-78 -38 -120 -38q-59 0 -103 41q0 -96 44 -120q76 -43 161 -53q63 -8 88 -53q10 -18 12 -30.5t-2 -33.5q-42 29 -87 38q-136 28 -186 72q-72 63 -72 170q0 256 124 361q35 29 79 48.5t84 19.5q65 0 100 -46t35 -111zM360 277
q0 56 -22.5 91.5t-61.5 35.5q-35 0 -56 -16q-45 -34 -79 -112.5t-34 -188.5q0 -27 26 -42.5t62 -15.5q30 0 55 14q16 9 32.5 24t35.5 42t30.5 70.5t11.5 97.5z" id="x1D71A"></path></g><g transform="matrix(.017,-0,0,-.017,8.018,12.138)"><path d="M300 -147l-18 -23q-106 71 -159 185.5t-53 254.5v1q0 139 53 252.5t159 186.5l18 -24q-74 -62 -115.5 -173.5t-41.5 -242.5q0 -130 41.5 -242.5t115.5 -174.5z" id="x28"></path></g><g transform="matrix(.017,-0,0,-.017,13.899,12.138)"><path d="M324 430l-26 -36l-112 -4l-55 -265q-13 -66 7 -66q13 0 44.5 20t50.5 40l17 -24q-38 -40 -85.5 -73.5t-87.5 -33.5q-50 0 -21 138l55 262h-80l-2 8l25 34h66l25 99l78 63l10 -9l-37 -153h128z" id="x1D461"></path></g><g transform="matrix(.017,-0,0,-.017,19.696,12.138)"><path d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" id="x29"></path></g>
</svg> of the closed-loop system.</table>

Mathematical Problems in Engineering

fig6

Figure 6

Figure 6: State-Feedback Sampled-Data Control Design for Nonlinear Systems via Passive Theory 