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This paper investigates the problems of robust H ∞ control for uncertain continuous-time systems with time-varying, norm-bounded uncertainties in all system matrices. Necessary and sufficient conditions for the above problems are proposed. All conditions are represented in the form of linear matrix inequalities (LMIs). The robust H ∞ controller can be easily designed from the solutions of the LMI conditions. Unlike earlier works, the proposed method does not involve any parameter tuning. Thus the robust H ∞ optimization control problem, which has not been discussed in earlier reports, can be dealt with using this newly proposed method.

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