- Conference Article
4
- 10.23919/ecc55457.2022.9838122
Initial Excitation Based Fast Adaptive Observer
- Jul 12, 2022
- Atul Katiyar + 2 more +2
Design of fast and efficient algorithms for adaptive observers, i.e., joint estimation of parameters and internal states of a dynamical system is vital for various applications. In this paper, a recently proposed initial excitation-based adaptive observer is modified to use a matrix regressor, instead of a vector regressor, for fast on-line estimation. A novel concept of strong initial excitation condition (S-IE) is formulated, leading to a switched estimation scheme, which is shown to be milder than already existing excitation conditions like persistence of excitation (PE), strong persistent excitation (S-PE) and initial excitation (IE). The proposed algorithm enables exponential convergence by a user-assignable convergence rate. Strategic introduction of estimator for the unknown initial conditions of the state variables in conjunction with the parameter estimator ensures uniformly global exponential stability (UGES) of the estimation error dynamics. The proposed adaptive observer scheme is validated using a linear plant dynamics along with an electro-chemical model of Lithium-ion (Li-ion) battery for the estimation of state of charge (SoC) and state of health (SoH).
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