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Zonotopic set-membership estimation for Switched Systems based on Wi-Radius Minimization: Vehicle application

Sara Ifqir, Vicenç Puig, Dalil Ichalal, Naima Ait‐Oufroukh, Saïd Mammar

2020IFAC-PapersOnLine18 citationsDOIOpen Access PDF

Abstract

This work is devoted to the problem of guaranteed set-membership state estimation based on zonotopes for discrete-time switched systems with bounded uncertainties and unknown inputs. The additive uncertainties in this contribution are treated using the so called Wi-Radius. The size of the zonotope which contains the real system state is decreased at each sample time. The complete solution procedure is formulated as a LMI-constrained optimization problem. The proposed design is applied to the robust state estimation of vehicle lateral dynamics state. Simulation results based on real data demonstrate the performance of the proposed method.

Topics & Concepts

MinificationBounded functionState (computer science)Computer scienceSet (abstract data type)Mathematical optimizationControl theory (sociology)RADIUSDiscrete time and continuous timeMathematicsAlgorithmArtificial intelligenceControl (management)Programming languageStatisticsMathematical analysisComputer securityControl Systems and IdentificationFault Detection and Control SystemsStability and Control of Uncertain Systems