Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627628 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
In this technical note, the â2 gain analysis and asynchronous Hâ control problems for switched discrete-time linear systems are addressed. Under the dwell time constraint, the computation of â2 gains versus dwell time is viewed as an open problem. By introducing a novel dwell time dependent Lyapunov function, an LMI-based sufficient condition is proposed to solve the â2 gain analysis problem. Since the derived conditions are all convex in system matrices, it is convenient to be applied into Hâ controller design. Thus, in the presence of asynchronous switching, an Hâ controller is presented to ensure the closed-loop system with a desired non-weighted Hâ performance. The proposed approach can also easily characterize the relationship between Hâ performance, dwell time and asynchronous time. Finally, several academic examples are provided to illustrate our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jian Xiao, Weiming Xiang,