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Optimal Structural Design for Flexible Space Structure with Control System Based on LMI  

Park, Jung-Hyen (Faculty, Department of Automotive Engineering, Silla University)
Cho, Kyeum-Rae (Faculty, Department of Aerospace Engineering, Pusan National University)
Publication Information
Journal of Mechanical Science and Technology / v.16, no.1, 2002 , pp. 75-82 More about this Journal
Abstract
A simultaneous optimal design problem of structural and control systems is discussed by taking a 3-D truss structure as an object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these forms. We consider a minimum weight design problem for structural system and disturbance suppression problem for the control system. The structural objective function is the structural weight and the control objective function is $H_{\infty}$ norm from the disturbance input to the controlled output in the closed-loop system. The design variables are cross sectional areas of the truss members. The conditions for the existence of controller are expressed in terms of linear matrix inequalities (LMI) By minimizing the linear sum of the normalized structural objective function and control objective function, it is possible to make optimal design by which the balance of the structural weight and the control performance is taken. We showed in this paper the validity of simultaneous optimal design of structural and control systems.
Keywords
Optimal Structural Design; Simultaneous Optimal Design; Optimal Deisgn; $H_{\infty}$ Controller; Descriptor System Forms; 3-D Structure; LMI Approach;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
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