摘要
就控制线路中存在的惯性对LQ最优控制的稳定鲁棒性的影响进行了理论分析和数值计算。结果表明,这种因素会使控制系统的稳定鲁棒性变差,甚至使系统在最优设计点处失去稳定。控制系统对控制线路中惯性的敏感程度与控制器设计时权矩阵Q的选择有较大关系。
the effect of the inertias in regulation loop on the robust stability of LQ optimal regulators is analysed theoretically and calculated numerically. It is shown that the factor may lead to poor robust stability of a LQ optimal regulator. Even in the optimal design state , the factor may cause the regulation system unstable. The weighting matrix Q has a great effect on the sensitivity of a LQ optimal regulator to the inertias in the regulation loop.