Interval Impulsive Observer for Linear Systems With Aperiodic Discrete Measurements

• 成果类型: Article
• 署名作者: Rabehi, Djahid; Meslem, Nacim; El Amraoui, Adnen; Ramdani, Nacim
• 署名单位: Universite de Orleans; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Universite d'Artois
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3046126
• 发表日期: 2021
• 页码: 5407-5413
• 关键词: Observers; Measurement uncertainty; estimation error; Linear systems; Time measurement; Noise measurement; Time-domain analysis; hybrid system; interval observers; linear time-invariant (LTI); sparse output measurements

摘要

This article addresses the modeling and the design of an interval state observer for a linear time-invariant plant in the presence of sporadically available measurements corrupted by unknown-but-bounded errors and noise. The interval observer is modeled as an impulsive system where an impulsive correction is made whenever a measurement is available. The non-negativity of the observation error between two successive measurements is preserved by applying the internal positivity based on the Muller's existence theorem, while at measurement times a linear programming constraint is added. A new methodology for designing the discrete-time observer gain is proposed that guarantees both nonnegativity and stability of the estimation error. The synthesis is performed by solving a set of bilinear matrix inequalities (BMIs). The theoretical result is supported by numerical simulation.