Finite-time H? control for a class of nonlinear system with time-varying delay
This paper is concerned with the finite-time H? H ? control for a class of nonlinear system with time-varying delay, which can be represented by TakagiSugeno (TS) fuzzy system. First, a new integral inequality, which is less conservative than other existing ones, is established by introducing some free fuzzy weighting matrices. Based on a new fuzzy LyapunovKrasovskii function, delay-dependent finite-time boundedness (FTB) criterion and H? H ? finite-time boundedness (H? H ? FTB) criterion are derived for the open-loop fuzzy time-delay system. Then, some delay-dependent finite-time stabilization conditions are given by designing a memory state feedback controller, which is based on the so-called parallel distributed compensation (PDC) scheme. Finally, an example is provided to illustrate the validity of the proposed design approach.
nonlinear system finite-time boundedness time-delay system stabilization h? h ? fuzzy control h? h ? h? h ? h ?