Decentralized Controller Design for Smart Structural Systems

Pengxiang Liu; Vittal S. Rao

doi:10.1117/12.484762

Decentralized Controller Design for Smart Structural Systems

Pengxiang Liu, Vittal S. Rao

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper, we show how to design decentralized controllers for smart structural systems to achieve multiple objectives associated with performances defined by H₂ or H_∞ norm, robust stability for model uncertainty, and limited actuator authority. The decentralized controller is designed in a sequential procedure for each control loop by solving synthesis conditions represented in terms of linear matrix inequalities (LMIs). The simultaneous design of decentralized controller, formulated as a non-convex minimization problem, is also discussed. The proposed design method was experimentally tested on a three-mass structure with three control loops.

Original language	English
Pages (from-to)	283-293
Number of pages	11
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5049
DOIs	https://doi.org/10.1117/12.484762
State	Published - 2003
Event	PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Smart Structures and Materials 2003 Modeling, Signal Processing, and Control - San Diego, CA, United States Duration: Mar 3 2003 → Mar 6 2003

Keywords

Decentralized control
Limited actuator inputs
Linear matrix inequalities
Multi-objective control
Sequential design
Simultaneous design of decentralized controller

Access to Document

10.1117/12.484762

Link to publication in Scopus

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AB - In this paper, we show how to design decentralized controllers for smart structural systems to achieve multiple objectives associated with performances defined by H2 or H∞ norm, robust stability for model uncertainty, and limited actuator authority. The decentralized controller is designed in a sequential procedure for each control loop by solving synthesis conditions represented in terms of linear matrix inequalities (LMIs). The simultaneous design of decentralized controller, formulated as a non-convex minimization problem, is also discussed. The proposed design method was experimentally tested on a three-mass structure with three control loops.

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KW - Limited actuator inputs

KW - Linear matrix inequalities

KW - Multi-objective control

KW - Sequential design

KW - Simultaneous design of decentralized controller

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