A singularly perturbed nonlinear system with a control input and a measured output is considered, under the supposition that a static nonlinear output feedback law is designed. It is shown that the operations 'compute the reduced-order system' (i.e., let the singular perturbation parameter μ = 0) and 'close the feedback loop' commute, i.e., the closed-loop reduced-order system is unambiguously determined. It is then shown that, if the reduced-order system associated with the original system has uncertainties matched with the input, a condition frequently used in the design of robust control systems, then the closed-loop reduced-order system enjoys the same property.
A Further Note on Output Feedback Control of Singularly Perturbed Systems
GLIELMO L.
1991-01-01
Abstract
A singularly perturbed nonlinear system with a control input and a measured output is considered, under the supposition that a static nonlinear output feedback law is designed. It is shown that the operations 'compute the reduced-order system' (i.e., let the singular perturbation parameter μ = 0) and 'close the feedback loop' commute, i.e., the closed-loop reduced-order system is unambiguously determined. It is then shown that, if the reduced-order system associated with the original system has uncertainties matched with the input, a condition frequently used in the design of robust control systems, then the closed-loop reduced-order system enjoys the same property.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
