Invariant slow manifold approach for exact dynamic inversion of singularly perturbed linear mechanical systems with admissible output constraints

摘要: Abstract We propose an approach for the exact dynamic inversion of singularly perturbed second-order linear systems through asymptotic expansion in a singular parameter. show that solution, corresponding to invariant slow manifold, can be expressed as converging infinite series under desired output constraints composed exponential support functions complex domain. provide systematic mathematical procedures obtain closed-form along with required admissible boundary conditions. Numerical examples are given validate proposed approach.