【摘 要】
：
针对系统矩阵存在的范数有界不确定性,基于一种鲁棒线性二次调节器(LinearQuadratic Regulators,LQR)的设计,利用其鲁棒回差方程,详细推导了这种鲁棒LQR灵敏度函数的奇异值最
【机 构】
：
兰州交通大学光电技术与智能控制教育部重点实验室,兰州交通大学自动化与电气工程学院,
论文部分内容阅读
针对系统矩阵存在的范数有界不确定性,基于一种鲁棒线性二次调节器(LinearQuadratic Regulators,LQR)的设计,利用其鲁棒回差方程,详细推导了这种鲁棒LQR灵敏度函数的奇异值最大值与规范LQR灵敏度函数的奇异值最大值之间的关系,证明这种鲁棒LQR相对于规范LQR具有较小的灵敏度函数的最大奇异值,灵敏度函数的奇异值特性分析说明这种鲁棒LQR设计相对规范LQR有较好的控制性能。表明灵敏度函数的奇异值特性分析,是一种有效的控制系统性能分析方法。
Aiming at the norm-bounded uncertainty of system matrices, based on the design of a robust linear quadratic regulator (LQR), the robust LQR sensitivity function is derived in detail using its robust hysteresis equation The relationship between the maximum value of the singular value and the maximum value of the singular value of the canonical LQR sensitivity function proves that this kind of robust LQR has a smaller maximum singular value of the sensitivity function with respect to the canonical LQR and the singular value characteristic analysis of the sensitivity function shows that The robust LQR design has better control performance than the LQR. It shows that the singular value of the sensitivity function is an effective control system performance analysis method.
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