2017/03/11 by Corentin Briat, Mustafa Khammash, Briat, Corentin +1
Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1703.03950
openalex publication_date 2017/03/11 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
Sufficient conditions for the design of a simple class of interval observers\nfor linear impulsive systems subject to minimum and range dwell-time\nconstraints are obtained and formulated in terms of infinite-dimensional linear\nprograms. The proposed approach is fully constructive in the sense that\nsuitable observer gains can be extracted from the solution of the optimization\nproblems and is flexible enough to be extended to include performance\nconstraints and parametric uncertainties. In order to be solvable, the\ninfinite-dimensional linear programs are relaxed using a method based on sum of\nsquares which is known to be asymptotically exact in the present case. Three\nexamples are given for illustration: the first one pertains on the interval\nobservation of an impulsive system under a minimum dwell-time constraint, the\nsecond one is about the interval observation of an aperiodic sampled-data\nsystem and the last one is about the interval observation of a linear switched\nsystem.\n