CAJ | 학술논문

在化工过程中，90％以上的控制器类型为PID类型，对PID控制器进行性能评价具有重要的实际意义。PID控制器的性能评价多以理论计算的最小方差作为基准，但由于控制器受自身结构的限制，实际上根本无法达到这个数值。提出采用PID控制器能够达到的最小方差作为标准，来评价常规操作下的PID控制器性能，使得PID控制器性能评价结果具有实际意义。在求取PID可达最小方差过程中根据输入输出数据拟合ARMAX过程模型，采用SOS（SumsOfSquares）方法解决了非凸优化问题，保证了全局最优解。将该方法应用在TE（Tennessee-Eastman）过程仿真平台上，实验结果表明了其有效性和实用性。
재화공과정중，90％이상적공제기류형위PID류형，대PID공제기진행성능평개구유중요적실제의의。PID공제기적성능평개다이이론계산적최소방차작위기준，단유우공제기수자신결구적한제，실제상근본무법체도저개수치。제출채용PID공제기능구체도적최소방차작위표준，래평개상규조작하적PID공제기성능，사득PID공제기성능평개결과구유실제의의。재구취PID가체최소방차과정중근거수입수출수거의합ARMAX과정모형，채용SOS（SumsOfSquares）방법해결료비철우화문제，보증료전국최우해。장해방법응용재TE（Tennessee-Eastman）과정방진평태상，실험결과표명료기유효성화실용성。
In chemical industry process, more than 90% of the controllers are PID types. It＇s of practical significance to evaluate the performances of PID controllers. Most existing controller performance assessments are based on theoretical minimum variance which can＇t be achieved due to the structural limitation of PID controllers. Achievable minimum variance of PID controller is introduced to assess the PID controller performance under normal operation and make the PID controller performance evaluation result more meaningful. The non-convex optimization problem is solved by fitting ARMAX process model based on the input/output data during getting the achievable minimum variance along with the application of SOS （Squares of Sums） method, and the optimized solution for the whole program is ensured. Test result of using this method on TE （Tennessee-Eastman） process emulation platform illustrates the feasibility and effectiveness.