A New integral inequality approach to delay dependent robust H∞ control

A design method for robust H∞ control of an uncertain linear system with a time-varying state delay is proposed. First, an integral inequality that we recently obtained is employed to establish a new delay-dependent bounded real lemma for a system with a time-varying delay. The lemma uses neither a model transformation nor a bounding technique for cross terms. Then, the lemma is used in combination with a matrix decomposition method to derive delay-dependent conditions for the existence of robust H∞ control based on linear matrix inequalities. Finally, some numerical examples are giving to demonstrate the validity of the method.