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Proceedings Paper

Robust integrated structural and control design for vector second-order systems via LMIs
Author(s): Alexander Mayzus; Karolos M. Grigoriadis
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Paper Abstract

Iterative redesign techniques are proposed to integrate the design of the structural parameters and the active control parameters for vector second-order lumped-parameter structural systems. The objective is to minimize the required active control effort to satisfy given output variance constraints and robust performance constraints. The problem is formulated as an iterative sequential control design followed by control/structure redesign. Each step of the iterative algorithm is formulated as a Linear Matrix Inequality (LMI) optimization problem that can be solved effectively using available LMI solvers. Convergence of the proposed algorithm to a solution that provides improved control effort and robust stability compared to the single- step structural design followed by control design is guaranteed. Both static state-feedback and dynamic output feedback problems are considered. Numerical examples demonstrate the use of the proposed iterative algorithms.

Paper Details

Date Published: 24 July 1998
PDF: 12 pages
Proc. SPIE 3323, Smart Structures and Materials 1998: Mathematics and Control in Smart Structures, (24 July 1998); doi: 10.1117/12.316297
Show Author Affiliations
Alexander Mayzus, Univ. of Houston (United States)
Karolos M. Grigoriadis, Univ. of Houston (United States)

Published in SPIE Proceedings Vol. 3323:
Smart Structures and Materials 1998: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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