CAJ | 학술논문

提出了一种基于反馈线性化、间隙度量和二次型最优控制的非线性系统控制器设计方法。非线性被控对象在不同平衡点线性化后得到若干线性系统模型，通过计算可以得到各个线性系统模型之间的间隙度。依据间隙度理论，合理选择标称系统 P 以及设计其相应的控制器 K，得到反馈系统(P, K)，从而使得非线性系统全局稳定，PID 控制器参数采用二次型最优控制准则求得。采用该文所提方法对某超临界600 MW直流锅炉主汽温系统4种典型工况进行仿真控制，结果表明了该方法的有效性，且控制性能优于常规的串级PID系统。
제출료일충기우반궤선성화、간극도량화이차형최우공제적비선성계통공제기설계방법。비선성피공대상재불동평형점선성화후득도약간선성계통모형，통과계산가이득도각개선성계통모형지간적간극도。의거간극도이론，합리선택표칭계통 P 이급설계기상응적공제기 K，득도반궤계통(P, K)，종이사득비선성계통전국은정，PID 공제기삼수채용이차형최우공제준칙구득。채용해문소제방법대모초림계600 MW직류과로주기온계통4충전형공황진행방진공제，결과표명료해방법적유효성，차공제성능우우상규적천급PID계통。
This paper proposed a new nonlinear system controller design method based on the feedback linearization, gap metric and linear quadratic optimal control. Several linear system models could be obtained by linearization of the nonlinear controlled process at different equilibrium point. The gap metric of each linear system model could be obtained by calculating. Based on the gap metric theory, the nonlinear system could be globally stable with reasonable choice of the nominal model P and the design of its corresponding controller K so as to obtain the feedback system (P, K). At the same time, a novel solving method of PID controller parameters was proposed by using linear quadratic optimal control. The proposed approach was applied to four typical operating regimes in the main temperature plant of a supercritical 600 MW boiler and the simulation results show that the method is correct. The control performance of this control system is apparently superior to the general cascade PID control system.