Robust H∞ control of uncertain sampled-data systems with poles constraint based on state observer

In order to solve the problems of state information unable to be observed or the value of sensors too high, robust H_∞ controller of a class of uncertain sampled-data systems with poles constraint was studies based on state observer. A class of sufficient conditions for the sampled-data systems was given via solving a class of LMI constrains, and at the same time, the robust control law and state observer gain were derived. At last, a numerical example is presented to illustrate the validity of this approach.