Mixed l2 /l∞ / H∞ estimation for uncertain discrete-time systems

A new criterion of l
₂
-l
_infin
/ H
_infin
performance is established by introducing a slack matrix. The designed estimator possesses two outputs which are respectively used to estimate the different estimated signals with l
₂
-l
_infin
and H
_infin
performances. Conservatism inherent in the quadratic framework can be reduced in robust synthesis of systems with polytopic uncertainties, since the parameter dependent Lyapunov functions can be adopted. A numerical example is included to illustrate the feasibility and advantage of the proposed representations.