2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775)
DOI: 10.1109/phycon.2003.1236806
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Robust H/sub 2/ vibration control of beams with piezoelectric sensors and actuators

Abstract: This paper studies vibratior; control of a beam with bonded piezoelectric sens(irs and actuators. Basic equations for piezoelectric sensors and actuators are presentcd. The equation of motion for the beam structure is derived by using the Harnilton's principle. A robust H2 controller is designed. The numerical simulation shows that the vibration can bc significantly suppressed by the proposed controller.

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Cited by 12 publications
(15 citation statements)
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“…In particular, we would like to mention here the works on wave propagation in structures with auxetic core, see among others [18,19], and the possible beneficial influence of the auxetic core on active control of smart beams and structures (cf. our previous work with classical materials published in [20,21]). Relevant results will be published in the future elsewhere.…”
Section: Discussionmentioning
confidence: 98%
“…In particular, we would like to mention here the works on wave propagation in structures with auxetic core, see among others [18,19], and the possible beneficial influence of the auxetic core on active control of smart beams and structures (cf. our previous work with classical materials published in [20,21]). Relevant results will be published in the future elsewhere.…”
Section: Discussionmentioning
confidence: 98%
“…As shown in Table 6, state of the art technologies [41][42][43][44][45][46][47][48][49][50][51][52] highlight the potential benefits of the H2-LQG controller that was integrated in the proposed AVC device. In particular, the H2-LQG controller is one of the most promising regulators that provides an effective trade-off between displacement compensation and high accuracy performances in a broad frequency range (200-450 Hz).…”
Section: Discussionmentioning
confidence: 99%
“…The numerical solution of the model is based on the development of superconvergent finite elements using the form of exact solution of the Timoshenko beam theory and Hamilton's principle (see [10,[33][34][35][36]). …”
Section: Models Of Smart Beams and Structuresmentioning
confidence: 99%
“…The usage of MODE with a combination of continuous and discrete variables for the optimal design of the controller is presented. Beams are fundamental elements in many mechanisms and structures [9][10][11][12][13][14]. Therefore, the modeling of the dynamic behavior as well as the control of beams is a significant model problem.…”
Section: Introductionmentioning
confidence: 99%