Improved Delay-independent H₂ Performance Analysis and Memoryless State Feedback for Linear Delay Systems with Polytopic Uncertainties

Improved Delay-independent H₂ Performance Analysis and Memoryless State Feedback for Linear Delay Systems with Polytopic Uncertainties

An improved linear matrix inequality (LMI) representation of delay-independent H2 performance analysis is introduced for linear delay systems with delays of any size. Based on this representation we propose a new H2 memoryless state feedback design. By introducing a new matrix variable, the new LMI formulation enables us to parameterize memoryless controllers without involving the Lyapunov variables in the formulations. By using aparameter-dependent Lyapunov function, this new representation proposed here provides us the results with less conservatism.

An improved linear matrix inequality (LMI) representation of delay-independent H2 performance analysis is introduced for linear delay systems with delays of any size. Based on this representation we propose a new H2 memoryless state feedback design. By introducing a new matrix variable, the new LMI formulation enables us to parameterize memoryless controllers without involving the Lyapunov variables in the formulations. By using aparameter-dependent Lyapunov function, this new representation proposed here provides us the results with less conservatism.