Improved Delay-independent H{sub}2 Performance Analysis and Memoryless State Feedback for Linear Delay Systems with Polytopic Uncertainties

摘要

An improved linear matrix inequality (LMI) representation of delay-independent H{sub}2 performance analysis is introduced for linear delay systems with delays of any size. Based on this representation we propose a new H{sub}2 memoryless state feedback design. By introducin g a new matrix variable, the new LMI formulation enables us to parameterize memoryles s controllers without involving the Lyapunov variables in the formulations. By using a parameter-dependent Lyapunov function, this new representation proposed here provides us the results with less conservatism.