Two-time scale design: performance analysis

The guardian map theory of generalized stability of parametrized linear time-invariant systems is used to analyse the performance of composite feedback for linear singularly perturbed control systems. The result gives an explicit expression for the largest upper bound ε* on the singular perturbation parameter ε for guaranteed performance (typified by the confinement of closed-loop eigenvalues to a given subset Ω of the open left-half plane). This result is utilized to analyse the performance of a composite feedback applied to a chemical reactor