Distributed Parameter Estimation Algorithm for Large-Scale Interconnected Systems

Distributed joint parameter and state estimation algorithm for large‐scale interconnected systems

“…To identify the unknown parameters of the state space subsystem (), we propose to use a recursive parameter state space estimation algorithm which is developed in our work 24 as follow:where $$$ {G}_i $$$ is a symmetric positive matrix $$$ \left({G}_i={G_i}^T\right) $$$, with maximum eigenvalues $$$ {\lambda}_{G_i} $$$. The parametric gain, $$$ {l}_i $$$, must be selected as: $$$ 0<{l}_i<2 $$$.…”

“…Those approaches usually use to transform the state space model into an input–output model and the large‐ scale interconnected systems into a single multivariable system led to computational burden and affects the convergence speed of the estimation algorithm. In Reference [23], a distributed parameter estimation algorithm for linear discrete time interconnected state space model is presented, based in this work we develop our approach to identifier the parameters of interconnected systems where we consider the interconnection by the states and the inputs 24 …”