多变量反馈系统稳定零极近似相消的积分约束  

Intergral constraints due to stable pole-zero near cancellation in multivariable feedback system

作　　者：何汉林[1] 吴正国[2] 吴国俊[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033 [2]海军工程大学电气工程系,湖北武汉430033

出　　处：《系统工程与电子技术》2006年第5期747-749,760,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(60274007);海军工程大学科学研究基金(E988)资助课题

摘　　要：导出了多变量反馈控制系统接近于虚轴的稳定零点与补偿器的稳定极点近似相消时,其误差响应的时间域积分约束。这一约束给出了多变量反馈系统固有折中的新的观点。名义系统接近于虚轴的稳定零点与补偿器的稳定极点近似相消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,尽量避免补偿器的极、零点与名义系统的零、极点近似相消(即使这些零、极点是稳定的)。同时讨论了名义系统稳定零点与补偿器的稳定极点近似相消时闭环系统对抗干扰能力的影响。The time domain integral constraints on error response for multivariable feedback control systems due to near cancellation of nominal＇ s stable zero and compensator＇ s stable pole near the jω-axis are developed. These integral constraints give new insight into the inherent trade-offs. It will result in the settling time longer or error response infinite norm larger when there are near cancellation of stable pole-zero near the jω-axis. Hence, when designing feedback control system, it is necessary to avoid the compensator＇s poles and zeros nearly cancellation the nominal＇ s zeros and poles （even if these poles and zeros are stable）. The effect on the ability of feedback control to reject disturbances is also discussed.

关 键 词：积分约束 反馈系统 响应 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]