Ascencio, PPAscencioAstolfi, AAAstolfiParisini, TTParisini2017-11-162016-12-292017-11-162016-12-29Decision and Control (CDC), 2016 IEEE 55th Conference on, 2016, pp.5623-56280743-1546http://hdl.handle.net/10044/1/53694This article deals with the observer design problem for the simultaneous estimation of the solid Lithium concentration and of the diffusion parameter for a Single Particle Model of Lithium-Ion Batteries. The design is based on the Backstepping PDE methodology, including a modified Volterra transformation to compensate for the diffusivity uncertainty. The resulting coupled/uncoupled Kernel-PDE and Ordinary Differential Equation (ODE) are recast, via a Sum-of-Squares decomposition, in terms of a convex optimization problem and solved by semidefinite programming, allowing, at each fixed time, an efficient computation of the state and parameter observer gains. In addition, based on the Moment approach, a novel scheme of inversion of the nonlinear output mapping of the Single Particle Model is presented. The effectiveness of this approach is illustrated by numerical simulations.© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Science & TechnologyTechnologyAutomation & Control SystemsEngineering, Electrical & ElectronicOperations Research & Management ScienceEngineeringCELLConference Paperhttps://www.dx.doi.org/10.1109/CDC.2016.7799133