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纯量反馈系统稳定零极近似相消的积分约束
引用本文:何汉林,王中生,廖晓昕.纯量反馈系统稳定零极近似相消的积分约束[J].控制理论与应用,2004,21(6):1029-1031,1035.
作者姓名:何汉林  王中生  廖晓昕
作者单位:1. 海军工程大学,理学院,湖北,武汉,430033;华中科技大学,控制科学与工程系,湖北,武汉,430074
2. 中原工学院,电气工程系,河南,郑州,450007;华中科技大学,控制科学与工程系,湖北,武汉,430074
3. 华中科技大学,控制科学与工程系,湖北,武汉,430074
基金项目:supportedbyNationalNaturalScienceFoundation (60 2 740 0 7),DoctoralFoundationofEducationMinistry (2 0 0 10 4870 0 5 ),AcademicFoun dationofNavalUniversityofEngineering (E988)
摘    要:导出了单输入单输出反馈控制系统误差响应基于名义系统稳定的零、极点近似相消的时间域积分约束,此积分约束是任何反馈控制系统均应满足的.这一约束给出了单输入单输出反馈系统固有折中的新的观点.名义系统稳定的零、极点近似相消的存在导致反馈控制系统的调节时间延长或者误差响应的无穷范数变大.因此,在反馈控制系统设计中,尽量避免补偿器的零、极点与名义系统的极、零点近似相消(即使这些零、极点是稳定的).

关 键 词:时间域积分约束  反馈系统  响应  仿真

Integral constraints based on stable pole-zero near cancellation in scalar feedback systems
Abstract.Integral constraints based on stable pole-zero near cancellation in scalar feedback systems[J].Control Theory & Applications,2004,21(6):1029-1031,1035.
Authors:Abstract
Abstract:This paper developed time domain integral constraints on error response for SISO feedback control systems caused by nominal plant's near cancellation of stable pole-zero near the j ω-axis.These integral constraints should be satisfied by any feedback control systems.These integral constraints give new insight into the inherent trade-offs.It will result in the settling time longer or the infinite norm of the error response larger when there are near cancellations of stable pole-zero near the j ω-axis.Hence,when feedback control systems are designed,it is necessary to avoid the compensator's poles and zeros nearly cancelling the nominal's zeros and poles (even if these poles and zeros are stable).
Keywords:time) (domain) (integral) (constraints  ) (feedback) (system  ) (response  ) (simulation)
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