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Robust Stability and Disturbance Attenuation for a Class of Uncertain Singularly Perturbed Systems
Karimi, H.R.,Yazdanpanah, M.J. Institute of Control 2001 Transaction on control, automation and systems eng Vol.3 No.3
This paper considers the problem of robust stabilization and disturbance attenuation for a class of uncertain singularly perturbed systems with norm-bounded nonlinear uncertainties. It is shown that the state feedback gain matrices can be determined to guarantee the stability of the closed-loop system for all $\varepsilon$$\in$(0, $\infty$). Based on this key result and some standard Riccati inequality approaches for robust control of singularly perturbed systems, a constructive design procedure is developed.