Robust stabilization of systems with parametric uncertainty
The authors consider the problem of finding a fixed stable finite-dimensional linear time-invariant (FDLTI) compensator which simultaneously stabilizes a given collection of FDLTI plants. It is shown that, under certain minimum phase and high-frequency gain assumptions, simultaneous stabilization is possible. Moreover, a simple computational scheme based on singular perturbation theory is proposed to synthesize the stabilizing compensator.
Khargonekar, P., & Gu, G. (1989). Robust stabilization of systems with parametric uncertainty., 495-498. https://doi.org/10.1109/icsyse.1989.48723