Reduced-order dissipative filtering for discrete-time singular systems

This paper is concerned with the reduced-order dissipative filtering problem of discrete-time singular systems. By considering an equivalent representation of the solution set, a necessary and sufficient dissipativity condition of singular systems is proposed in terms of strict LMI. By using the system augmentation approach, a reduced-order filter is designed such that the filtering error system is admissible and strictly (Q, S, R)-dissipative. A numerical example is presented to demonstrate the usefulness of the derived theoretical results. © 2013 IEEE.published_or_final_versio

Output feedback controller synthesis for descriptor systems satisfying closed-loop Dissipativity

This paper is concerned with synthesis of output feedback controllers for descriptor systems to attain dissipativity of the closed-loop system. A necessary and sufficient condition is provided in terms of LMIs for the existence of a controller satisfying dissipativity and admissibility (an internal stability) of the closed-loop system. Unlike previous results, the condition does not depend on the choice of the descriptor realization. The derived LMI condition with a rank constraint for synthesis is a generalization of those for LMI-based H∞ control of state-space systems to descriptor systems