Multiobject Holographic Feedback Control of Differential Algebraic System with Application to Power System

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static.hindawi.com/articles/mpe/volume-2015/415281/figures/415281.fig.003a.svgz" name="415281.fig.003a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>The curve of <svg height="14.204pt" id="M176" style="vertical-align:-5.398471pt" version="1.1" viewbox="-0.0498162 -8.80553 21.8881 14.204" width="21.8881pt" 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="M610 0V27L347 666L316 657L46 26V0H610ZM504 54H116L310 537L504 54Z" id="g50-133"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="654" vert-adv-y="654"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.496,0)"><path d="M735 650H491L482 618L516 614C568 608 571 595 541 535L299 115H297L196 559C187 600 195 608 238 614L265 618L275 650H26L18 618C79 611 98 605 115 527L234 -9H272C389 197 542 449 591 523C647 608 656 612 726 618L735 650Z" id="g50-87"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="747" vert-adv-y="747"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,15.945,3.001)"><path d="M554 433L549 437C539 437 513 441 503 443C481 447 456 451 436 451C354 451 268 415 216 368C150 308 99 205 99 106C99 24 136 -12 165 -12C196 -12 243 14 268 33C318 70 374 118 415 181H419L395 39C374 -84 332 -149 295 -175C269 -193 245 -197 212 -197C137 -197 93 -156 76 -102C71 -87 61 -87 51 -96C36 -110 24 -130 24 -147C24 -183 76 -257 171 -257C226 -257 285 -227 323 -200C387 -155 455 -76 480 94C499 225 538 391 554 433ZM460 386C457 361 438 287 426 254C408 218 373 176 332 133C294 93 246 61 217 61C198 61 186 80 186 122C186 167 206 250 231 294C262 349 288 375 317 387C334 394 358 400 381 400C413 400 439 393 460 386Z" id="g50-104"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="578" vert-adv-y="578"></glyph.data></g></svg></td></tr><tr class="fig-image" id="b"><td><object data="https://static.hindawi.com/articles/mpe/volume-2015/415281/figures/415281.fig.003b.svgz" name="415281.fig.003b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b>The curve of <svg height="14.204pt" id="M177" style="vertical-align:-5.398471pt" version="1.1" viewbox="-0.0498162 -8.80553 21.8881 14.204" width="21.8881pt" 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="M610 0V27L347 666L316 657L46 26V0H610ZM504 54H116L310 537L504 54Z" id="g50-133"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="654" vert-adv-y="654"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,8.496,0)"><path d="M735 650H491L482 618L516 614C568 608 571 595 541 535L299 115H297L196 559C187 600 195 608 238 614L265 618L275 650H26L18 618C79 611 98 605 115 527L234 -9H272C389 197 542 449 591 523C647 608 656 612 726 618L735 650Z" id="g50-87"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="747" vert-adv-y="747"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,15.945,3.001)"><path d="M554 433L549 437C539 437 513 441 503 443C481 447 456 451 436 451C354 451 268 415 216 368C150 308 99 205 99 106C99 24 136 -12 165 -12C196 -12 243 14 268 33C318 70 374 118 415 181H419L395 39C374 -84 332 -149 295 -175C269 -193 245 -197 212 -197C137 -197 93 -156 76 -102C71 -87 61 -87 51 -96C36 -110 24 -130 24 -147C24 -183 76 -257 171 -257C226 -257 285 -227 323 -200C387 -155 455 -76 480 94C499 225 538 391 554 433ZM460 386C457 361 438 287 426 254C408 218 373 176 332 133C294 93 246 61 217 61C198 61 186 80 186 122C186 167 206 250 231 294C262 349 288 375 317 387C334 394 358 400 381 400C413 400 439 393 460 386Z" id="g50-104"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="578" vert-adv-y="578"></glyph.data></g></svg></td></tr></table>

<div>System responses to adjustment of the feedback matrix.</div>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Multiobject Holographic Feedback Control of Differential Algebraic System with Application to Power System 