H∞ analysis and controller synthesis via a descriptor system approach

The problem of Hinfin analysis and synthesis of linear uncertain systems is addressed via parameter-dependent Lyapunov functions. The polyqudratic Hinfin stability as well as the affine quadratic Hinfin stability is defined, and the corresponding sufficient conditions of LMI form are derived based on a descriptor system approach. By refraining the slack matrices, Hinfin state feedback controllers could also be constructed by LMI constraints. The effectiveness is demonstrated by a numerical example.

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