Research on Variable Universe Fuzzy PID Control Strategy of Pipe Lining Induction Heating System

<div>VUFPID controller structure diagram; <span class="nowrap"><svg height="6.1673pt" id="M48" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 5.50181 6.1673" width="5.50181pt" 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="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path></g></svg>,</span> <svg height="6.1673pt" id="M49" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 10.7996 6.1673" width="10.7996pt" 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="M391 364C391 409 353 448 295 448C249 448 198 426 152 393C65 331 23 225 23 139C23 14 96 -12 146 -12C198 -12 280 9 367 101L351 124C300 78 242 48 194 48C129 48 109 107 109 162V191C208 213 391 266 391 364ZM313 350C313 305 268 261 113 223C132 334 187 381 217 398C227 404 244 405 261 405C290 405 313 385 313 350Z"></path></g><g transform="matrix(.013,0,0,-0.013,5.382,0)"><path d="M383 397C383 424 344 448 299 448C244 448 172 409 132 375C66 319 23 227 23 146C23 42 74 -12 146 -12C208 -12 298 30 359 103L343 124C315 95 248 48 192 48C145 48 111 85 111 163C111 228 129 294 151 330C171 363 201 401 241 401C275 401 302 384 325 356C332 347 339 344 348 348C373 360 383 381 383 397Z"></path></g></svg> are the error and its rate of change, respectively, the contraction-expansion factors of inputs and outputs are defined as <span class="nowrap"><svg height="11.5564pt" id="M50" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 21.9432 11.5564" width="21.9432pt" xmlns="http://www.w3.org/2000/svg" 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Modelling and Simulation in Engineering

fig4

Figure 4

Figure 4: Research on Variable Universe Fuzzy PID Control Strategy of Pipe Lining Induction Heating System 