NDLI: Stabilization and H/sup /spl infin// control of continuous-time symmetric systems

Content Provider	IEEE Xplore Digital Library
Author	Tan, K. Grigoriadis, K.M.
Copyright Year	2001
Description	Author affiliation: Tektronix Inc., Beaverton, OR, USA (Tan, K.)
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.
Sponsorship	IEEE Control Syst. Soc
Starting Page	3453
Ending Page	3458
File Size	375726
Page Count	6
File Format	PDF
ISBN	0780370619
DOI	10.1109/CDC.2001.980392
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-12-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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