2018/01/10 by Corentin Briat, Briat, Corentin
Engineering · #Advanced Control Systems Optimization #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #Vehicle Dynamics and Control Systems #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1801.03464
openalex publication_date 2018/01/10 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
LPV systems with piecewise constant parameters subject to spontaneous\nPoissonian jumps are a class of systems that does not seem to have been\nthoroughly considered in the literature. We partially fill this gap here by\nproviding sufficient stability and performance analysis conditions stated in\nterms of infinite-dimensional LMI problems that can be solved using sum of\nsquares programming. A particularity of the obtained conditions lies in the\npresence of an integral term leading to some technical difficulties when\nattempting to obtain convex conditions for the design of a gain-scheduled\nstate-feedback controller. This difficulty is circumvented by relying on a\nrecent result for time-delay systems analysis and an equivalent integral-free\nLMI condition is obtained. The approach is illustrated through several\nexamples.\n