Robust Energy-to-Peak Estimation for Uncertain Continuous-Time Linear Systems

Based on two recent results, a new LMI representation for L₂ -L_infin performance of continuous-time systems is first proposed by introducing two extra auxiliary matrices. The criterion allows the use of parameter-dependent Lyapunov function for analysis and synthesis problems. Robust energy-to-peak estimators are then designed based on the new criterion by means of LMI technique, with the result that the much less conservativeness is achieved compared with the earlier results in the quadratic framework. A numerical example is employed to illustrate the effect and advantage of the proposed designs