| 工业过程广义稳态优化控制算法的收敛性研究 |
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| 引用本文： | 罗旭光,万百五.工业过程广义稳态优化控制算法的收敛性研究[J].自动化学报,2000,26(3):382-386. |
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| 作者姓名： | 罗旭光 万百五 |
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| 作者单位： | 1.西安交通大学系统工程研究所,西安 |
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| 摘 要： | 根据Zangwill全局收敛理论,定义了求解工业过程广义稳态优化控制问题的算法
赖以依托的点-集映射关系;在此基础上,证明了算法的解序列能够使得工业过程广义稳态优
化控制问题的目标函数在其相应集合上是一个Zangwill函数,从而证明了工业过程广义稳
态优化控制算法具有全局收敛性.
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| 关 键 词： | 工业过程广义稳态 点-集映射 Zangwill函数 全局收敛性 |
| 收稿时间： | 1998-3-9 |
| 修稿时间： | 1998-03-09 |
RESEARCH ON THE CONVERGENCE OF GENERALIZED STEADY-STATE OPTIMIZING CONTROL ALGORITHM FOR INDUSTRIAL PROCESSES |
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| LUO Xuguang,WAN Baiwu.RESEARCH ON THE CONVERGENCE OF GENERALIZED STEADY-STATE OPTIMIZING CONTROL ALGORITHM FOR INDUSTRIAL PROCESSES[J].Acta Automatica Sinica,2000,26(3):382-386. |
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| Authors: | LUO Xuguang WAN Baiwu |
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| Affiliation: | 1.Systems Engineering Institute,Xi'an Jiaotong University,Xi'an |
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| Abstract: | According to the Zangwill's global
convergence theory,a point-to-set mapping which supports the algorithm solving the
generalized steady-state optimizing control problem(GOP) is defined.In light of the
definition,it is proved that the sequence of points generated by the algorithm can
guarantee that the objective function of GOP problem is descent on its own set.Namely,the
algorithm solving the generalized steady-state optimizing control problem is globally
convergent. |
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| Keywords: | Generalized steady state of industrial process point to set mapping Zangwill function global convergence |
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