Abstract
AbstractIn this paper we present a general linear matrix inequality‐based analysis method to determine the performance of a SISO reset control system in both the ℒ︁2 gain and ℋ︁2 sense. In particular, we derive convex optimization problems in terms of LMIs to compute an upperbound on the ℒ︁2 gain performance and the ℋ︁2 norm, using dissipativity theory with piecewise quadratic Lyapunov functions. The results are applicable to for all LTI plants and linear‐based reset controllers, thereby generalizing the available results in the literature. Furthermore, we provide simple though convincing examples to illustrate the accuracy of our proposed ℒ︁2 gain and ℋ︁2 norm calculations and show that, for an input constrained ℋ︁2 problem, reset control can outperform a linear controller designed by a common nonlinear optimization method. Copyright © 2009 John Wiley & Sons, Ltd.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Robust and Nonlinear Control
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
