Abstract
This paper describes the synthesis of robust decentralized controllers for uncertain large-scale discrete-time systems with time delays in the subsystem interconnections. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI). The solutions of the LMIs can be obtained easily using efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.
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Park, J. Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays. Journal of Optimization Theory and Applications 113, 105–119 (2002). https://doi.org/10.1023/A:1014809314463
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DOI: https://doi.org/10.1023/A:1014809314463