Using the robust control method to control the vibration of piezoelectric laminated plates

[1] 秦荣. 智能结构力学[M]. 北京: 科学出版社, 2005 Qin Rong. Intelligent structure mechanics[M]. Beijing: Science Publishing Company Press, 2005 (in Chinese) [2] Tzou H S, Tseng C I. Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems[J]. Journal of Sound and Vibration, 1990, V138(1): 17-34 [3] Shah D K, Chan W S, Joshi S P. Finite element analysis of plates with piezoelectric layers Structural Dynamics and Materials Conference. 1993:3189-3197 [4] Koconis D B, Kollar L P, Springer G S. Shape control of composite plates and shells with embedded actuators I: voltages specified[J]. Journal of Composite Materials, 1994, V28(5): 415-458 [5] Fitzpatrick B G. Shape matching with smart material structures using piezoceramic actuators[J]. Journal of Intelligent Materials System. Structure, 1997, V8(10): 876-882 [6] Chee C, Tong L Y, Steven G P. Static shape control of composite plates using a slope-displacement based algorithm[J]. Structural Dynamics and Materials Conference, 2000, V2: 67-77 [7] 周星德, 韩晓林, 吴慧新,等. 基于形状的复合材料层合板振动主动控制研究[J]. 振动、测试与诊断, 2003,V23(2):134-137 Zhou Xingde, Han Xiaolin, Wu Huixin, et al. Studies on active vibration control of a composite laminated plate based on shape[J]. Journal of Vibration, Measurement and Diagnosis, 2003, V23(2): 134-137 (in Chinese) [8] 姚林泉, 丁睿. 非线性压电效应下压电弯曲执行器的动力分析[J]. 力学学报, 2005, V37(2): 183-189 Yao Linquan, Ding Rui. The dynamic analysis of piezoelectric bending actuator considering nonlinear piezoelectric effect[J]. Acta Mechanica Sinica, 2005, V37(2): 183-189 (in Chinese) [9] 田晓耕, 张婕, 沈亚鹏. 不同理论下广义压电热弹性问题的有限元求解[J]. 力学学报. 2006, V38(4):553-558 Tian Xiaogeng, Zhang Jie, Shen Yapeng. Solving generalized piezothermoelastic problem by fem with different theories[J]. Acta Mechanica Sinica, 2006, V38(4): 553-558 (in Chinese) [10] Doyle J C, Glover K. State-space solution to standard H and H_∞ control problems[J]. IEEE Trans Automat Contr, 1989, Ac-34: 831-847 [11] Nonami K, Nishimura H. H_∞ control based frequency shaped sliding mode control for flexible structures[J]. JSME International Journal, Series C, 1996, 39: 493-501 [12] 李普, 孙庆鸿, 陈南,等. 振动系统复合摄动的鲁棒H_∞控制研究[J]. 振动工程学报,2001,14 (1): 118-121 Li Pu, Sun Qinghong, Chen Nan, et al. The reach of H_∞ roubust control method about the vibration system with complex uncertainty[J].Journal of Vibration Engineering, 2001, 14 (1): 118-121 (in Chinese) [13] 俞立. 鲁棒控制——线性矩阵不等式处理方法[M]. 北京:清华大学出版社, 2002 Yu Li. Roubust control: about the method of how to dispose the linearity matrix inequation[M]. Beijing: Tsinghua University Press, 2002 (in Chinese) [14] 陈永富. 压电智能结构振动控制研究. 西安:西安建筑科技大学工程力学系, 2004 Chen Yongfu. The vibration control research of intelligent piezoelectric structure. Xi’an:Engineering Mechanics of Xi’an University of Architecture and Technology, 2004 (in Chinese) [15] 申铁龙. H_∞控制理论与应用[M]. 北京: 清华大学出版社, 1996 Shen Tielong. The theory and application of H_∞ control[M]. Beijing: Tsinghua University Press, 1996 (in Chinese) [16] 王德进.H₂和H_∞优化控制理论[M]. 哈尔滨: 哈尔滨工业大学出版社, 2001 Wang Dejin. The optimization control theory H₂ and H_∞ [M]. Harbin: Harbin Institute of Technology University Press, 2001 (in Chinese) [17] Zhou S W, Rogers C A. Power flow and consumption in piezoelectrically actuated structures[J]. AIAA Journal, 1995, 33(7):1305-1311 [18] Doyle J C, Francis B A, Tannenbaum A R. Feedback control theory[M]. New York: Macmillan, 1992