Abstract
This paper considers linear time-varying hybrid systems and introduces a notion of the finite-horizon generalized H2 norm with transients. It is defined as the worst-case peak value of the output in response to uncertain initial states and external disturbances. Such a measure represents the induced operator norm from L2 to L∞ because the peak value of the vector signal is considered as its generalized L∞ norm. This approach allows to characterize the generalized H2 norm in terms of both the difference Lyapunov equation and diference linear matrix inequalities (DLMIs). By using the derived characterization the optimal control and Pareto optimal controls are synthesized minimizing the finite-horizon generalized H2 norm with transients. Finally, an example is given to illustrate the proposed technique.
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 callDisclaimer: 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.
