To solve the problem of limits on variables,the most intuitive way is to build an optimization model of which the obj ective function is the variables to be solved and the feasible region is the constraints.By solving maximin problems,the upper limits and lower limits on these variables can be achieved.The advantage of the method based on the optimization model is that it can take all the constraints into consideration.Thus,the results are less conservative or even not conservative at all. Firstly,the optimization model to solve the limits of state variables and measurement variables is introduced briefly.However, as the optimization model is a non-convex model,for non-convex models,the global optimal solution cannot be got.To deal with this problem, a conic optimization model which is used to solve the limits of the measurement variables is then established.The numerical example shows that by solving the conic optimization model not only is the credibility of the results ensured,but also the solving efficiency is improved.%求解变量的限值问题,最直观的方式为建立以待求变量为目标函数、以约束条件为可行域的优化模型,通过求解极大化和极小化问题,分别得到该变量的上限值和下限值.基于优化模型的求解方法的优点在于可综合考虑所有的约束,所得结果保守性较小,甚至不存在保守性.首先简要介绍了求解状态变量限值和量测变量限值的优化模型.然而由于该优化模型为非凸模型,而对于非凸优化模型,无法得到其全局最优解,为解决该问题,继而建立了求解量测变量限值的锥优化模型.算例表明,该模型既保证了结果的可信性,也提高了求解效率.
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