Output Feedback H∞ Control for Discrete-Time Singular Systems: A Strict LMI Approach

This paper deals with the problem of the output feedback H∞ control for discrete-time singular systems. Our goal is to develop a numerically tractable controller design method for output feedbackH∞ control of discrete-time singular systems. First, a new sufficient condition for H∞ performance is derived. Then, a sufficient condition for the existence of the desired output feedback H∞ controller is established. The proposed controller design method is formulated under the strict LMI framework. Finally, a numerical example is used to demonstrate the effectiveness of presented method.