Robust stabilisation of nonlinear plants via left coprime factorizations

Robust stabilization of a delay system with saturating actuator or sensor

“…To our knowledge, the robustness properties of controllers in the nonlinear case has been considered by Georgiou and Smith [12], who generalize the gap metric and develop a robustness theory for general nonlinear systems considering various notions of stability (without however synthesizing controllers), by Niculescu et al [13] who study the robust stabilization of a delay system with saturating actuator, robustness being considered in relation to perturbations of the state-space matrices and by Paice and Moore [14] who determined the set of all stabilizing (in a weaker sense than BIBO stability) controllers K / of a plant P, the set of all plants P 1 which are stabilized by a controller K and a necessary and su$cient condition for K / to stabilize P 1 (extending to the nonlinear case the robust stabilization result of Reference [15]). …”

John Barratt Moore 1941–2013

“…This was largely separate from the work on adaptive systems, though at one point the ideas came together with his development of a tool for nonlinear systems like the one he had found for linear systems with T. T. Tay and successfully applied in the F111 context. Given a physical system and an associated controller, both in general nonlinear, it became possible to characterize changes in the controller that should be introduced consequent upon changes in the underlying physical plant, in order to retain desirable performance, including fundamentally closed-loop stability [162], [163], [184].…”