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在概率描述框架下,针对含有参数摄动的线性多变量系统,提出一种新的鲁棒LQ优化设计方法。通过对系统的不同参数摄动状态进行概率加权综合二次型指标寻优,实现了整个参数域的一体化设计。仿真结果表明,与常用的标称法和极小极大化法相比,该方法能更好地折衷鲁棒稳定性和鲁棒性能。
In the framework of probability description, a new robust LQ optimization design method is proposed for linear multivariable systems with parameter perturbations. Through the optimization of the quadratic index with probability perturbation of different parameters of the system, the integrated design of the whole parameter domain is realized. The simulation results show that this method can better compromise robust stability and robustness compared with the commonly used nominal and minimal maximization methods.