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ℋ︁ 2 suboptimal estimation and control for nonnegative dynamical systems
Author(s) -
Haddad Wassim M.,
Chellaboina Vijaysekhar,
Gholami Behnood
Publication year - 2008
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.844
Subject(s) - orthant , estimator , eigenvalues and eigenvectors , control theory (sociology) , mathematics , set (abstract data type) , mathematical optimization , state space , dynamical systems theory , state (computer science) , linear dynamical system , linear system , control (management) , computer science , algorithm , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , programming language
Linear matrix inequalities (LMIs) provide a powerful design framework for linear control problems. In this paper, we use LMIs to develop ℋ 2 (sub)optimal estimators and controllers for nonnegative dynamical systems. Specifically, we formulate a series of generalized eigenvalue problems subject to a set of LMI constraints for designing ℋ 2 suboptimal estimators, static controllers, and dynamic controllers for nonnegative dynamical systems. The resulting ℋ 2 suboptimal controllers guarantee that the closed‐loop plant system states remain in the nonnegative orthant of the state space. Finally, a numerical example is provided to demonstrate the efficacy of the proposed approach. Copyright © 2008 John Wiley & Sons, Ltd.
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