s域SISO系统概率鲁棒设计新方法

A Novel Probabilistic Robust Design Method for SISO System in s Domain

通过引入随机向量截尾分布描述系统不确定性，并对优化性能指标进行概率加权，提出了一种新的鲁棒控制器设计方法。所得结果保守性低，兼顾了鲁棒稳定性和鲁棒性能，且控制器性能在标称情况和最坏情况之间得到概率折衷，实现了整个参数平面的一体化设计。仿真结果表明该方法的有效性。

On introducing the truncated Gaussian distribution vectors to describe uncertain parameters and weighting the optimization performance by probability density function,a new method for robust controller design has been developed.The resulting design is less conservative and compromises robust stability and performance.It also realises system performance tradeoffs for all situations between nominal and worst-case conditions and makes the design in the parameter space in its entirety.Simulation results illustrate its advantages.