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本文研究了线性稳态大系统优化与控制问题中的二次等价性原理,证明了非退化的线性规划问题可以等价为正定二次规划问题,线性稳态控制问题可以等价为具有线性约束二次凸目标的稳态控制问题.基于等价性原理,本文提出了点凸化技术(PCT),用于凸化不能应用关联平衡法(IBM)的线性问题.最后给出应用例子,说明PCT在求解线性稳态大系统优化与控制问题中的应用.
In this paper, we study the principle of quadratic equivalence in the optimization and control of linear steady-state large-scale systems, and prove that non-degenerate linear programming problems can be equivalent to positive quadratic programming problems. The linear steady-state control problems can be equivalent to linear Based on the equivalence principle, this paper proposes the point convexization technique (PCT), which is used to convex the linear problem that can not be applied to the balance of correlation (IBM) .Finally, an application example is given, Explain the application of PCT in solving the problem of optimization and control of large linear systems.