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Author Tan, K. ♦ Grigoriadis, K.M.
Sponsorship IEEE Control Syst. Soc
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2001
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Control systems ♦ Output feedback ♦ Control system synthesis ♦ Open loop systems ♦ Linear matrix inequalities ♦ State-space methods ♦ Optimal control ♦ Symmetric matrices ♦ Riccati equations ♦ Potential energy
Abstract We address the H/sup /spl infin// control analysis, the output feedback stabilization, and the output feedback H/sup /spl infin// control synthesis problems for state-space symmetric systems. Using a particular solution of the bounded real lemma for an open loop symmetric system we obtain an explicit expression to compute the H/sup /spl infin// norm of the system. For the output feedback stabilization problem we obtain an explicit parametrization of all asymptotically stabilizing control gains of state-space symmetric systems. For the H/sup /spl infin// control synthesis problem we derive an explicit expression for the optimally achievable closed-loop H/sup /spl infin// norm and the optimal control gains. Extensions to robust and positive real control of such systems are also examined. These results are obtained from the linear matrix inequality formulations of the stabilization and the H/sup /spl infin// control synthesis problems using simple matrix algebraic tools.
Description Author affiliation: Tektronix Inc., Beaverton, OR, USA (Tan, K.)
ISBN 0780370619
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2001-12-04
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 366.92 kB
Page Count 6
Starting Page 3453
Ending Page 3458

Source: IEEE Xplore Digital Library