Robust H∞ Non-Fragile Control Design for Descriptor Delay Systems

The paper is concerned with robust H∞ non-fragile controller design for uncertain descriptor systems with time-delay. A descriptor system has potential to describe a wide class of physical systems. It can give a representation of the system with algebraic constraints. A unique characteristic of descriptor systems is possible impulse modes and nonregularity, which do not appear in state-space systems. This characteristic makes the control of descriptor systems more difficult. When it comes to a control design for physical systems, there are chances that malfunction in actuator happens and an uncertain value of the control input may be calculated. Hence, controller gain variations should be considered in the control design. In this paper, robust H∞ non-fragile control for uncertain descriptor delay systems is considered and a control design of H∞ controllers that guarantee non-impulse and regularity is proposed. Some numerical examples are given to illustrate the advantage of our theory. Mathematics Subject Classification: 93E20