Feedback control of nonstandard singularly perturbed systems
Hassan K. Khalil · IEEE Transactions on Automatic Control · 1989
This paper studies feedback control of linear time-invariant singularly perturbed systems of the form x = A11x + A12z + B1u ϵZ = A21x + A22z + B2u y = C1x + C2z + Eu. where A22may be singular. It is shown that, under stabilizability-detectability assumptions on the slow and fast models, the theory of feedback control of singularly perturbed systems can be extended to the case of singular A22. Both state and output feedback results are given.