Research on the Convergence of Generalized Steady-State Optimizing Control Algorithm for Industrial Processes
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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
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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