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一类复杂非线性过程的广义一般模型控制 被引量:7

Generalized generic model control of a class of complex nonlinear processes
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摘要 介绍了一般模型控制(GMC)的基本原理,给出了GMC方法简单实用的必要条件。针对GMC方法只适于相对阶r为1的简单过程的缺点,采用Lie导数的概念,令过程输出的r阶导数的轨迹为事先设定的标称轨迹,通过解优化问题得到控制律表达式,把GMC方法推广至相对阶r大于1的复杂多输入多输出过程,从而提出了一种广义一般模型控制(GGMC)方法。仿真结果表明,提出的方法能应用于相对阶r大于1的复杂非线性过程的控制,当采用线性近似模型时,其控制性能与模型预测控制(MPC)相近,而计算量则有所降低。 The basic principle of generic model control (GMC) is firstly introduced, and the necessary condition of applying GMC method is presented. Furthermore, in order to overcome the disadvantage of GMC, i.e., it can only apply to the processes with relative order of 1, based on Lie derivative, we propose to let the r th derivative of the process output follow the given reference trajectory, to get the control law expression through solving an optimization problem. Thereby, a new control method of generalized generic model control (GGMC) is developed by generalizing the GMC algorithm to complex processes with the relative order larger than 1. Computer simulation results are satisfactory, which show that the proposed method can be used to control complex nonlinear processes. When approximate linear model is used, the control performance of the proposed method is similar to that of model predictive control (MPC), while the computation load is relatively reduced.
出处 《清华大学学报(自然科学版)》 EI CAS CSCD 北大核心 1998年第9期77-81,共5页 Journal of Tsinghua University(Science and Technology)
基金 国家自然科学基金 国家教委资助优秀青年教师基金 "八六三"高技术项目
关键词 一般模型控制 非线性控制 非线性过程 generic model control (GMC) model predictive control (MPC) nonlinear control relative order 
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参考文献3

  • 1夏小华,非线性系统控制及解耦,1993年
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  • 3Lee P L,Comput Chem Eng,1988年,12卷,6期,573页

同被引文献30

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