Dissipativity enforcement of linear continuous-time single-input single-output systems

This paper introduces a new LMI-based approach to dissipativity enforcement for continuous system. Different from the conventional convex optimization method, the new method based on frequency-selective Kalman-Yakubovich-Popov(FS-KYP) lemma for single-input-single-output(SISO) system. In contrast to existing approaches, the proposed method only uses a minimal number of variables due to the absence of Lyapunov variables. In this way, the dissipativity enforcement problems are derived and expressed in terms of solutions to a set of linear matrix inequalities which can be easily solved.