MODE-INDEPENDENT GUARANTEED COST CONTROL OF SINGULAR MARKOVIAN DELAY JUMP SYSTEMS WITH SWITCHING PROBABILITY RATE DESIGN

摘要

This paper considers the guaranteed cost control of singular Markovian jump systems (SMJSs) with time delay whose mode signal is inaccessible. The main contribution is to develop an approach to mode-independent guaranteed control, where the switching probability rate is also designed. New sufficient conditions of such controller are proposed in terms of linear matrix inequalities with some equation constraints, which also characterize the switching probability rate. Finally, numerical examples are used to demonstrate the effectiveness and advantage of the proposed method.