A class of L₁-to-L₁ and L_∞-to-L_∞ interval observers for (delayed) Markov jump linear systems

2018/01/10 by Briat, Corentin
#FOS: Electrical engineering #FOS: Mathematics #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1801.03457

Abstract

We exploit recent results on the stability and performance analysis of positive Markov jump linear systems (MJLS) for the design of interval observers for MJLS with and without delays. While the conditions for the L₁ performance are necessary and sufficient, those for the L_∞ performance are only sufficient. All the conditions are stated as linear programs that can be solved very efficiently. Two examples are given for illustration.

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