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Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay
journal contribution
posted on 2017-12-06, 00:00 authored by Y He, M Wu, Qing-Long HanQing-Long Han, JH SheThe free-weighting-matrix approach is developed to study the H control of linear discrete-time systems with an interval-like time-varying delay. First, a delay- and range-dependent criterion for a given H performance is derived. Second, a memoryless H state-feedback controller is designed based on a performance analysis. Finally, two numerical examples demonstrate the effectiveness of the proposed method and show that both the upper bound and range of an interval-like time-varying delay affect the stability and/or H performance of a system.