Computing Measures of Identifiability, Observability, and Controllability for a Dynamic System Model with the StrucID App

Identifiability, observability, and controllability are important structural properties of a dynamic system model. Our interest lies in the detection lack identifiabil-ity/observability and/or through computation subsequent analysis exact nullspace gramian for non-linear systems. For this we have developed user-friendly application with name StrucID which runs Matlab. The App requires as input model definition (possibly non-linear) state space format. In addition, an output equation that may also be is required. Through rank test (SVD) on associated sensitivity matrix, so-called signature graphs produced. These represent model’s singular values vectors provide visual summary. results can now used substantially reduced symbolic (not included yet current version StrucID) computes Fliess series expansion signal to arrive at Jacobi matrix. Solving underlying partial differential then completes generates re-parametrisation transformation allows reduction manner. A few examples will presented.