Abstract
This paper is concerned with the problem of robust \(H_{\infty }\) control for two-dimensional (2-D) discrete state delay systems described by the Roesser model, the uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. Both \(H_{\infty }\) performance analysis and \(H_{\infty }\) controller design are considered. Firstly, a sufficient condition for \(H_{\infty }\) disturbance attenuation performance of the uncertain 2-D discrete systems with state delay is developed. Next, a stabilizing state feedback controller is designed such that the resulting closed-loop system is robustly asymptotically stable and has a prescribed level \(\gamma \) of \(H_{\infty }\) performance. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
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Badie, K., Alfidi, M. & Chalh, Z. Robust \(H_{\infty }\) control for 2-D discrete state delayed systems with polytopic uncertainties. Multidim Syst Sign Process 30, 1327–1343 (2019). https://doi.org/10.1007/s11045-018-0606-0
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DOI: https://doi.org/10.1007/s11045-018-0606-0