Robust peak gain problem for uncertain systems via LMI approach

This paper is concerned with the problem of robust peak-to-peak gain minimization (the L-1 or L-infinity induced norm problem) for finite-dimensional LTI uncertain systems. By minimizing an upper bound of the induced L-infinity-norm, we propose a controller synthesis method for uncertain systems. Controller synthesis is reduced to minimizing a continuous function of a single real variable. State-feedback and output-feedback controllers are obtained by using linear matrix inequality (LMI) approach, and the controllers have at most the same order as the plant. Our result shows that if there exists a linear dynamic state-feedback controller that Achieves a certain level of performance, then there exists a static, linear, state-feedback controller that also achieves this level of performance, and vice versa. This is also equivalent to solvability of an LMI problem.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000186706200145&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Automation & Control SystemsCPCI-S(ISTP)