Abstract
This paper discusses the application of noncausal linear periodically time-varying (LPTV) scaling to the design of discrete-time robust stabilizing controllers. Such a new type of scaling was introduced recently through the lifting technique, and has been shown to be effective for robust stability analysis in terms of reducing conservativeness. This paper thus discusses how and why one could exploit the desirable properties of noncausal LPTV scaling in the context of robust stabilizing controller design, and provides explicit steps for such design, including the suitable selection of the structure of noncausal LPTV scaling and LMI optimization of scaling as well as the controller. Numerical examples are also studied demonstrating that the noncausal LPTV scaling approach leads to less conservative design than the conventional scaling or µ-synthesis approach.
