Abstract
This study proposes a matrix-injection method to complete the H∞ performance analysis of linear systems under aperiodic sampled data. First of all, an augmented looped-functional is constructed by combining the looped-functional method with state vector augmentation. To make use of sampling period-related information in this augmented functional, sampling period-dependent quadratic terms are kept in the derivative of the functional. Then, to deal with the aforementioned quadratic terms, a matrix-injection method is developed. This method introduces two free matrices, which allows for a reduction in the conservativeness of the results. A sufficient condition with less conservatism is provided using these techniques. Finally, three examples are given to demonstrate the superiority of the presented approach.
Published Version
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 call