1 Canadian International College, Al Tagamoa Al Khamis, New Cairo City, Egypt, 2 Department of Electrical Engineering, UAE University, PO Box 17555, Al-Ain, United Arab Emirates
Abstract:
** Email: magdi_mahmoud{at}cic-cairo.com*** Email: hnounou{at}uaeu.ac.ae This paper develops new results to the problem of simultaneousfeedback stabilization using static output feedback (SOF) controlfor a finite collection of linear dynamical systems with unknownstate delay. We establish tractable synthesis conditions fornominal SOF controllers and subsequently extend the resultsto resilient SOF to cope with possible additive controller gainperturbations. In both cases, the design of SOF controllersis based on guaranteed cost and approaches. Previous relatedresults are recovered and all the developed results are convenientlycast in the format of linear matrix inequalities. A numericalexample is presented.