@techreport{oai:kyutech.repo.nii.ac.jp:00000682, author = {Ito, Hiroshi and 伊藤, 博}, month = {May}, note = {This paper focuses on multi-rate sample-data control with nonsynchronous decentralizedcontrollers whose sampler-and-hold elements in di erent stations update theirstate independently of each other. Phases of discrete-time events in decentralized controlstations are di erent because of digital control with multiple processors although each controllerin a station is a synchronous single-rate sampled-data controller. The paper analyzesthe e ect of the nonsynchronous phase distribution on Lp worst-case performance and stability.New representations of the nonsynchronous sample-data system are presented foranalyzing and computing performance degradation caused by the nonsynchronism. Themethod of analysis is further modi ed to propose an approach to design of Lp-inducednorm suboptimal nonsynchronous multi-rate controllers. Some results on stability andperformance robustness for the nonsynchronous closed-loop systems are developed. Furthermore,it is shown that the worst-case performance measure is a continuous function ofthe phase shift provided that anti-aliasing lters are located appropriately. Slight perturbationof the phase only results in a slight degradation or improvement of the closed-loopperformance. The analysis of the continuity property enables us to estimate how robustthe performance is against the phase perturbation.}, title = {Effects of Nonsynchronism on Multirate Sampled-Data Systems: L_p Worst-Case Performance,Robutness and Computation}, year = {2000}, yomi = {イトウ, ヒロシ} }