Nonlinear Predictor Feedback for Input-Affine Systems With Distributed Input Delays
Anton Ponomarev
2016
IEEE Transactions on Automatic Control
Prediction-based transformation is applied to control-affine systems with distributed input delays. Transformed system state is calculated as a prediction of the system's future response to the past input with future input set to zero. Stabilization of the new system leads to Lyapunov-Krasovskii proven stabilization of the original one. Conditions on the original system are: smooth linearly bounded open-loop vector field and smooth uniformly bounded input vectors. About the transformed system
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... ich turns out to be affine in the undelayed input but with input vectors dependent on the input history and system state, we assume existence of a linearly bounded stabilizing feedback and quadratically bounded control-Lyapunov function. If all assumptions hold globally, then achieved exponential stability is global, otherwise local. Analytical and numerical control design examples are provided.
doi:10.1109/tac.2015.2496191
fatcat:exjo32hbizcf7nfkhzawra5ea4