基于状态空间多变量误差校正的预测控制
|
摘要
精馏塔控制是石油化工领域常用的工业设备,如果精馏塔相关参数存在较大的扰动时,PID等传统的控制方式在控制效果上不够理想,但是完全的多变量形式的解耦模型应用效果也不够理想,因为控制模型的匹配度不理想,存在参数与应用实际不相符的问题。对此,引入状态空间多变量预测控制方式,结合传统PID控制策略进行精馏塔控制器的设计,所研究的算法因为融合了PID控制器和状态空间多变量控制方式的优点,可有效提升精馏塔的控制精度和响应速度,有效抑制精馏塔运行过程中的振荡问题。通过实验分析,显示所提算法在精馏塔控制过程中具有更佳的控制效果,验证了算法的有效性。
The control of distillation column is commonly used in industrial equipment in the petrochemical industry, if there is a big tower parameter disturbance, the control mode of the traditional PID is not ideal in the control effect, but the application effect of the complete form of the multivariable decoupling model is not ideal,because the matching of the control model is not ideal, there is a problem that the parameters do not match the actual application. In this regard, the state space multivariable predictive control method is introduced, and the traditional PID control strategy is combined with the design of the distillation tower controller. Because of the combination of the advantages of the PID controller and the state space multivariable control method, the algorithm studied can effectively improve the control precision and response speed of the distillation tower, and effectively suppress the oscillation problem during the distillation operation. The experimental analysis shows that the proposed algorithm has a better control effect in the control process of the distillation column, and the effectiveness of the algorithm is verified.
The control of distillation column is commonly used in industrial equipment in the petrochemical industry, if there is a big tower parameter disturbance, the control mode of the traditional PID is not ideal in the control effect, but the application effect of the complete form of the multivariable decoupling model is not ideal,because the matching of the control model is not ideal, there is a problem that the parameters do not match the actual application. In this regard, the state space multivariable predictive control method is introduced, and the traditional PID control strategy is combined with the design of the distillation tower controller. Because of the combination of the advantages of the PID controller and the state space multivariable control method, the algorithm studied can effectively improve the control precision and response speed of the distillation tower, and effectively suppress the oscillation problem during the distillation operation. The experimental analysis shows that the proposed algorithm has a better control effect in the control process of the distillation column, and the effectiveness of the algorithm is verified.
引文
[1]郑达艺.分数阶常微分方程迭代方法的解[J].数学的实践与认识,2015,45(2):276-283.Zheng D Y.The solution of the iterative method of Fractional Ordinary Differential Equation[J].The practice and understanding of mathematics,2015,45(2):276-283.
[2]孟伟,刘思峰,曾波,等.离散分数阶和分算子与差分算子及互逆性[J].数学的实践与认识,2015,45(16):261-266.Meng W,Liu S F,Zeng B,et al.Discrete fractional order sum operator and difference operator and reciprocal[J].The practice and understanding of mathematics,2015,45(16):261-266.
[3]Matouk A E,Elsadany A A.Achieving synchronization between the fractional-order hyperchaotic novel and Chen systems via a new nonlinear control technique[J].Applied Mathematics Letters,2014,29(1):30-35.
[4]Li R,Chen W.Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems[J].Nonlinear Dynamics,2014,76(1):785-795.
[5]Li R H,Chen W S.Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems[J].Nonlinear Dynamics,2014,76(1):1042-1051.
[6]Muthukumar P,Balasubramaniam P.Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography[J].Nonlinear Dynamics,2013,74(3):1169-1181.
[7]Ding Y,Wang Z,Ye H.Optimal control of a fractionalorder HIV-immune system with memory[J].IEEE Transactions on Control Systems Technology,2012,20(3):763-769.
[8]Bhalekar W.Synchronization of incommensurate non-identical fractional order chaotic systems using active control[J].The European Physical Journal Special Topics,2014,223(8):1495-1508.
[9]Golmankhaneh A K,Arefi R,Baleanu D.Synchronization in a nonidentical fractional order of a proposed modified system[J].Journal of Vibration&Control,2013,21(6):1154-1161.
[10]Mahmoud G M,Abed-Elhameed T M,Ahmed M E.Generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems[J].Nonlinear Dynamics,2016,83(4):1885-1893.
[11]梁炎明,苏芳,李琦,等.基于支持向量机回归的T-S模糊模型自组织算法及应用[J].自动化学报,2013,39(12):2143-2149.Liang Y M,Su F,Li Q,et al.Self-organizing algorithm of T-S fuzzy model based on support vector machine regression and its application[J].Journal of automation,2013,39(12):2143-2149.
[12]颜文旭,纪志成.电压畸变条件下三相三线有源电力滤波器的T-S模糊H控制[J].控制理论与应用,2012,29(6):803-810.Yan W X,Ji Z C.T-S fuzzy H control of three-phase three wire active power filter under voltage distortion[J].Control theory and application,2012,29(6):803-810.
[13]Mekircha N,Boukabou A,Mansouri N.Fuzzy control of unstable chaotic systems[J].Journal of automation system engineering,2012,6(3):11-19.
[14]Chen Liang,Chen Guanrong.Fuzzy predictive control of uncertain chaotic system using time series[J].International Journal of Bifurcation&Chaos,2011,9(4):757-767.
[15]Senouci A,Boukabou A.Predictive control and synchronization of chaotic and hyperchaotic systems based on a T-S fuzzy model[J].Mathematics&Computers in Simulation,2014,105(11):62-78.
[16]Menees J,Araujo R.Fuzzy model predictive control for nonlinear processes[J].Emerging Technologies&Factory Automation,2012,8(6):1-8.
[17]Wang B,Zhang J,Zhu D,et al.Takagi-Sugeno fuzzy predictive control for a class of nonlinear system with constrains and disturbances[J].Journal of Computational&Nonlinear Dynamics,2015,10(5):054505.
[18]Delavari H,Lanusse P,Sabatier J.Fractional order controller design for a flexible link manipulator robot[J].Asian Journal of Control,2013,15(3):783-795.
[19]Aghababa M P.Chaotic fractional-order model for muscular blood vessel and its control via fractional control scheme[J].Complexity,2014,20(2):37-46.
[2]孟伟,刘思峰,曾波,等.离散分数阶和分算子与差分算子及互逆性[J].数学的实践与认识,2015,45(16):261-266.Meng W,Liu S F,Zeng B,et al.Discrete fractional order sum operator and difference operator and reciprocal[J].The practice and understanding of mathematics,2015,45(16):261-266.
[3]Matouk A E,Elsadany A A.Achieving synchronization between the fractional-order hyperchaotic novel and Chen systems via a new nonlinear control technique[J].Applied Mathematics Letters,2014,29(1):30-35.
[4]Li R,Chen W.Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems[J].Nonlinear Dynamics,2014,76(1):785-795.
[5]Li R H,Chen W S.Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems[J].Nonlinear Dynamics,2014,76(1):1042-1051.
[6]Muthukumar P,Balasubramaniam P.Feedback synchronization of the fractional order reverse butterfly-shaped chaotic system and its application to digital cryptography[J].Nonlinear Dynamics,2013,74(3):1169-1181.
[7]Ding Y,Wang Z,Ye H.Optimal control of a fractionalorder HIV-immune system with memory[J].IEEE Transactions on Control Systems Technology,2012,20(3):763-769.
[8]Bhalekar W.Synchronization of incommensurate non-identical fractional order chaotic systems using active control[J].The European Physical Journal Special Topics,2014,223(8):1495-1508.
[9]Golmankhaneh A K,Arefi R,Baleanu D.Synchronization in a nonidentical fractional order of a proposed modified system[J].Journal of Vibration&Control,2013,21(6):1154-1161.
[10]Mahmoud G M,Abed-Elhameed T M,Ahmed M E.Generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems[J].Nonlinear Dynamics,2016,83(4):1885-1893.
[11]梁炎明,苏芳,李琦,等.基于支持向量机回归的T-S模糊模型自组织算法及应用[J].自动化学报,2013,39(12):2143-2149.Liang Y M,Su F,Li Q,et al.Self-organizing algorithm of T-S fuzzy model based on support vector machine regression and its application[J].Journal of automation,2013,39(12):2143-2149.
[12]颜文旭,纪志成.电压畸变条件下三相三线有源电力滤波器的T-S模糊H控制[J].控制理论与应用,2012,29(6):803-810.Yan W X,Ji Z C.T-S fuzzy H control of three-phase three wire active power filter under voltage distortion[J].Control theory and application,2012,29(6):803-810.
[13]Mekircha N,Boukabou A,Mansouri N.Fuzzy control of unstable chaotic systems[J].Journal of automation system engineering,2012,6(3):11-19.
[14]Chen Liang,Chen Guanrong.Fuzzy predictive control of uncertain chaotic system using time series[J].International Journal of Bifurcation&Chaos,2011,9(4):757-767.
[15]Senouci A,Boukabou A.Predictive control and synchronization of chaotic and hyperchaotic systems based on a T-S fuzzy model[J].Mathematics&Computers in Simulation,2014,105(11):62-78.
[16]Menees J,Araujo R.Fuzzy model predictive control for nonlinear processes[J].Emerging Technologies&Factory Automation,2012,8(6):1-8.
[17]Wang B,Zhang J,Zhu D,et al.Takagi-Sugeno fuzzy predictive control for a class of nonlinear system with constrains and disturbances[J].Journal of Computational&Nonlinear Dynamics,2015,10(5):054505.
[18]Delavari H,Lanusse P,Sabatier J.Fractional order controller design for a flexible link manipulator robot[J].Asian Journal of Control,2013,15(3):783-795.
[19]Aghababa M P.Chaotic fractional-order model for muscular blood vessel and its control via fractional control scheme[J].Complexity,2014,20(2):37-46.