CAJ | 학술논문

为了克服锅炉燃烧系统多变量、强耦合、强干扰、大滞后的特性，提出了基于状态空间方程的模型预测算法控制(MAC)与 PID 控制相结合的新型多变量 PID-MAC 算法，并采用李雅普诺夫第二方法证明该算法导出的控制律可使控制系统闭环、稳定。以燃气锅炉燃烧系统为对象，通过仿真试验证明了该算法不仅具有PID控制稳态误差小、上升时间短以及超调小的优点，而且在一定程度上克服了PID控制调节时间长和模型算法控制稳态误差较大的不足。
위료극복과로연소계통다변량、강우합、강간우、대체후적특성，제출료기우상태공간방정적모형예측산법공제(MAC)여 PID 공제상결합적신형다변량 PID-MAC 산법，병채용리아보낙부제이방법증명해산법도출적공제률가사공제계통폐배、은정。이연기과로연소계통위대상，통과방진시험증명료해산법불부구유PID공제은태오차소、상승시간단이급초조소적우점，이차재일정정도상극복료PID공제조절시간장화모형산법공제은태오차교대적불족。
To overcome the complex features of boiler combustion system,such as multivariable inputs and outputs,strong coupling,strong interference and long hysteresis,a new multivariate PID-MAC algorithm combing the state-space equation based model algorithm control (MAC)with the PID control was pro-posed.Moreover,the Lyapunov's second stability theorem was employed to prove this algorithm renders the system closed-loop stabilization.Simulation experiments with gas boiler show this control strategy has ad-vantages like small steady-state error and short rise time during PID control,and small overshoot of MAC. Furthermore,to some extent,it gets rid of long regulation time of PID control and large steady-state error of MAC.