On the placement of actuators and sensors for flexible structures with closely spaced modes
On the placement of actuators and sensors for flexible structures with closely spaced modes作者机构：Beijing Institute of Control Engineering Beijing China State Key Laboratory of Science and Technology on Space Intelligent Control Beijing China
出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)
年 卷 期：2010年第53卷第7期
页 面：1973-1982页
核心收录：
学科分类：080202[工学-机械电子工程] 08[工学] 0802[工学-机械工程]
基 金：supported by the National Natural Science Foundation of China (Grant No. 10872028)
主 题：close modes controllability/observability sensor/actuator optimization criterion optimization algorithm
摘 要：This paper analyzed the fundamental limitations of previous work and developed a new method to optimally locate actuators and sensors for structures with close modes. Optimization criteria were defined based on the distinguishing modal controllability and observability measures of close modes. An appropriate genetic algorism was adopted as the optimization algorism. Solving the high order Lyapunov functions was avoided by means of the closed-form expressions for controllability and observability Grammians. Since structure with widely separated natural frequencies is approximately balanced, computational efficiency was improved by grouping close modes together and dealing with the resulting subsystems independently. Finally, the effectiveness and optimality of the novel placement scheme were verified on a model structure with close modes.
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