Nonlinear control design: geometric, adaptive and robust
Nonlinear control design: geometric, adaptive and robust
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Nonlinear and Adaptive Control Design
Nonlinear and Adaptive Control Design
A two-time-scale design for edge-based detection and rectification of uncooperative flows
IEEE/ACM Transactions on Networking (TON)
Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I
Journal of Dynamical and Control Systems
Journal of Dynamical and Control Systems
Survey Constructive nonlinear control: a historical perspective
Automatica (Journal of IFAC)
Brief Lyapunov-based adaptive control of MIMO systems
Automatica (Journal of IFAC)
Adaptive maneuvering, with experiments, for a model ship in a marine control laboratory
Automatica (Journal of IFAC)
Robust output feedback regulation of minimum-phase nonlinear systems using conditional integrators
Automatica (Journal of IFAC)
Parameter estimation and compensation in systems with nonlinearly parameterized perturbations
Automatica (Journal of IFAC)
On approximate dynamic inversion and proportional-integral control
ACC'09 Proceedings of the 2009 conference on American Control Conference
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
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In this paper we propose two different time-scale separation based robust redesign techniques which recover the trajectories of a nominal control design in the presence of uncertain nonlinearities. We first consider additive input uncertainties and design a high-gain filter to estimate the uncertainty. We then employ the fast variables arising from this filter in the feedback control law to cancel the effect of the uncertainties in the plant. We next extend this design to systems with uncertain input nonlinearities in which case we design two sets of high gain filters-the first to estimate the input uncertainty over a fast time-scale, and the second to force this estimate to converge to the nominal input on an intermediate time-scale. Using singular perturbation theory we prove that the trajectories of the respective two-time-scale and three-time scale redesigned systems approach those of the nominal system when the filter gains are increased. We illustrate the redesigns by applying them to various physically motivated examples.