Robust delay-dependent H∞ filtering for a class of LPV state-delayed systems

This paper deals with the robust delay-dependent H⋡ filtering problem for a class of LPV systems with multiple constant time-delays in the state vector. It is shown that, by using the Hamiltonian-Jacoby-Isaac (HJI) function and the polynomially parameter-dependent quadratic functions and a suitable change of variables, the required sufficient conditions with high precision are established in terms of parameter-independent linear matrix inequalities (LMIs) for the existence of the desired H⋡ filters. However, the explicit expression of the robust delay-dependent H⋡ filters is derived to satisfy both asymptotic stability and H⋡ performance. A numerical example is provided to demonstrate the validity of the proposed design approach.