Multi-Objective Controller Design for Smart Structures Using Linear Matrix Inequalities

  • Sridhar Sana
  • Vittal S. Rao
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 89)


Smart structures have emerged as a result of integration of research in the areas of sensors, actuators, micro electronics, signal processing and controller design. In this paper, we develop an integrated controller design procedure for disturbance rejection and performance optimization in smart structures. There are two main challenges in such an integration. The first problem known as spill over problem (see [1], is the degradation of the performance due to the effect of unmodeled dynamics on the closed-loop system. The second challenge is the constraint on the available actuation force which can also limit the achievable performance. Hence to design controllers for effective integration with structural systems, it is necessary that these constraints are incorporated in the controller design process, necessitating a multi-objective design approach. In recent times, Linear matrix inequalities(LMIs) (see [2]) have emerged as a powerful tool for formulating and solving such multi-objective design problems. We formulated the integration problem in smart structures as a problem of designing an output feedback robust controller in the presence of uncertainties due to unmodeled dynamics and control input limits to achieve maximum possible attenuation for a given set of finite energy disturbances. The proposed method is employed to design a controller for a smart structural test article. The controller is then implemented using dSpace system and experimental results are included.


Control Input Controller Design Linear Matrix Inequality Disturbance Rejection Smart Structure 
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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Sridhar Sana
    • 1
  • Vittal S. Rao
    • 1
  1. 1.Department of Electrical & Computer Engineering and Intelligent Systems CenterUniversity of Missouri-RollaRollaUSA

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