连续搅拌釜式反应器的鲁棒最优控制

doi:10.3969/j.issn.0438-1157.2013.11.031

CIESC Journal ›› 2013, Vol. 64 ›› Issue (11): 4114-4120.DOI: 10.3969/j.issn.0438-1157.2013.11.031

连续搅拌釜式反应器的鲁棒最优控制

朱群雄, 王军霞

北京化工大学信息科学与技术学院, 北京 100029

收稿日期:2013-03-28 修回日期:2013-07-30 出版日期:2013-11-05 发布日期:2013-11-05
通讯作者: 朱群雄
作者简介:朱群雄(1960-),男,教授。

Robust optimal control for nonlinear continuous stirred tank reactor

ZHU Qunxiong, WANG Junxia

School of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China

Received:2013-03-28 Revised:2013-07-30 Online:2013-11-05 Published:2013-11-05

摘要/Abstract

摘要： 针对一类带不确定性的连续搅拌釜式反应器,提出基于滑模控制理论的鲁棒最优控制算法。输入输出线性化方法用于线性化对象模型,假设系统的不确定因素有界,滑模面采用积分型滑模面以确保系统稳态误差为零,将线性二次型理论用于等效控制律的设计中,保证了系统的性能指标最优,自适应滑模切换控制增益的选取在降低系统抖振的前提下补偿了系统的不确定因素及外部扰动,实现了控制器的鲁棒最优。通过仿真实验表明,提出的控制器对匹配的不确定性因素及外部扰动具有鲁棒性,且闭环系统的性能指标最优。

关键词: 滑模控制, 连续搅拌釜式反应器, 不确定非线性系统, 鲁棒最优控制, 反馈线性化

Abstract: A robust optimal controller based on sliding mode control(SMC)was designed for the nonlinear uncertain continuous stirred tank reactor(CSTR).Input-output linearization was used to linearize the nonlinear CSTR,and the only assumption on the uncertainties was that they are bounded. Defining the integral sliding mode surface to assure the steady errors of closed-loop system be zero. Equivalent control law improving the transient characteristics was designed to minimize the quadratic cost function.The adaptive switch control gain could drive the state variables to the sliding surface as soon as possible without causing too much chattering problem,and the uncertainties of the controlled CSTR could be compensated.Simulation results showed that the proposed approach was a practical and valid scheme for the nonlinear uncertain chemical process.

Key words: sliding mode control, CSTR, uncertain nonlinear system, robust optimal control, feedback linearization

中图分类号:

TP273

朱群雄, 王军霞. 连续搅拌釜式反应器的鲁棒最优控制[J]. CIESC Journal, 2013, 64(11): 4114-4120.

ZHU Qunxiong, WANG Junxia. Robust optimal control for nonlinear continuous stirred tank reactor[J]. , 2013, 64(11): 4114-4120.

参考文献 18

[1]	Dominik Stahl,Jan Hauth.PF-MPC:particle filter-model predictive control[J].Systems & Control Letters,2011,60(8):632-643
[2]	Alex Alexandridis,Haralambos Sarimveis.Control of processes with multiple steady states using MPC and RBF neural networks[J].Computer Aided Chemical Engineering,2011,29:698-702
[3]	Lu Mei,Jin Chengbo, Shao Huihe.An improved fuzzy predictive control algorithm and its application to an industrial CSTR process[J].Chinese Journal of Chemical Engineering,2009,17(1):100-107
[4]	Yamuna Rani K.Sensitivity compensating nonlinear control:exact model based approach[J].J.Process Control,2012,22:564-582
[5]	Barkhordari Yazdi M,Jahed-Motlagh M R.Stabilization of a CSTR with two arbitrarily switching modes using modal state feedback linearization[J].Chemical Engineering Journal,2009,155(3):838-843
[6]	Daaou Bachir,Mansouri Abdellah, Bouhamida Mohamed. Development of linearizing feedback control with a variable structure observer for continuous stirred tank reactors[J].Chinese Journal of Chemical Engineering,2012,20(3):567-571
[7]	Chang Wei-Der.Nonlinear CSTR control system design using an artificial bee colony algorithm[J].Simulation Modelling Practice and Theory,2013,31:1-9
[8]	Yu D L,Chang T K,Yu D W.A stable self-learning PID control for multivariable time varying systems[J].Control Engineering Practice,2007,15(12):1577-1587
[9]	Liu Song(刘松),Li Donghai(李东海),Xue Yali(薛亚丽),Chen Jinli(陈金莉).Nonlinear robust control for continuous stirred tank reactor system[J].Journal of Chemical Industry and Engineering(China)(化工学报),2008,59(2):398-404
[10]	Di Ciccio M P,Bottini M,Pepe P,Foscolo P U.Observer-based nonlinear control law for a continuous stirred tank reactor with recycle[J].Chemical Engineering Science,2011,66(20):4780-4797
[11]	Khairy M,Elshafei A L,Emara Hassan M.LMI based design of constrained fuzzy predictive control[J].Fuzzy Sets and Systems,2010,16:893-918
[12]	Karim Salahshoor,Morteza Hamzehnejad.A novel online affine model identification of multivariable processes using adaptive neuro-fuzzy networks[J].Chemical Engineering Research and Design,2010,88(2):155-169
[13]	Tang Gongyou,Liu Yimin,Zhang Yong.Approximate optimal output tracking control for nonlinear discrete-time systems[J].Control Theory & Applications,2010,27(3):400-405
[14]	Ghaffari V,Vahid Naghavi S,Safavi A A.Robust model predictive control of a class of uncertain nonlinear systems with application to typical CSTR problems[J].Journal of Process Control,2013,23(4):493-499
[15]	Chen Chyi-Tsong,Dai Chyi-Shen.Robust controller design or a class of nonlinear uncertain chemical process[J].Journal of Process Control,2001,11:469-482
[16]	Shahraz R,Bozorgmehry Boozarjomehry.A fuzzy sliding mode control approach for nonlinear chemical processes[J].Control Engineering Practice,2009,17:541-550
[17]	Zarae Luis E,Peterson Resende.Fuzzy sliding mode controller for a PH process in stirred tanks[J].Intelligent Automation & Soft Computing,2012,18(4):349-367
[18]	Uppal A,Ray W H,Poore A B.On the dynamic behavior of continuous stirred tank reactors[J].Chem. Eng. Sci.,1974,29:967-985

连续搅拌釜式反应器的鲁棒最优控制

Robust optimal control for nonlinear continuous stirred tank reactor

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