Robust stability and performance of uncertain systems in state space

Robust performance analysis and state feedback design are considered for systems with time-varying parameter uncertainties. The notion of a strongly robust H/sub infinity / performance criterion is introduced, and its applications in robust performance analysis and synthesis for nominally linear systems with time-varying uncertainties are discussed and compared with the constant scaled small gain criterion. It is shown that most robust performance analysis and synthesis problems under this strongly robust H/sub infinity / performance criterion can be transformed into linear matrix inequality problems, and can be solved through finite-dimensional convex programming. The results are in general less conservative than those obtained using small-gain-type criteria.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>