Robust H∞ indefinite guaranteed cost dynamic output feedback control of singular semi-Markov jump systems *

This paper considers the robust H infinity guaranteed cost control problem for singular continuous-time semi-Markov jump systems. In quadratic cost function, the weighting matrices are indefinite. First, suf-ficient conditions are given which ensure the related closed-loop systems to be stochastically admissible with gamma-disturbance attenuation, and the value of the cost function is bounded between zero and the positive upper bound. Then, by a new linear matrix inequality(LMI) method and a matrix decoupling technique, the reducible dynamic output feedback guaranteed cost controllers with full order or reduced order are designed. Last, the effectiveness of the proposed methods is illustrated by two examples. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.