带有未知扰动的非线性优化命题的可行性分析

Feasibility Analysis of Nonlinear Optimization Systems with Unknown Disturbance

针对带有未知扰动的非线性系统的优化问题 ,提出了一种新的可行性分析算法 .其不但能够判断非线性优化命题是否存在可行域 ,而且能够针对不存在可行域的情况 ,给出软约束边界调整的定量信息 。

The feasibility analysis problem of nonlinear optimization systems with unknown disturbance is addressed. A criteria for this kind of systems to be feasible is obtained, and an effective algorithm for feasibility analysis is proposed. Using the algorithm, 'soft'constraints adjustment of the optimization system without a feasible region can be informed. Simulation results for a fluidized catalytic cracking(FCC) model have showed the validity of the algorithm.