Journal
AUTOMATICA
Volume 85, Issue -, Pages 362-373Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.07.069
Keywords
Nonlinear control; Delay systems; Predictor-feedback; Backstepping
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For nonlinear systems, we develop a PDE-based predictor-feedback control design, which compensates actuator dynamics, governed by a transport PDE with outlet boundary-value-dependent propagation velocity. Global asymptotic stability under the predictor-feedback control law is established assuming spatially uniform strictly positive transport velocity. The stability proof is based on a Lyapunov-like argument and employs an infinite-dimensional backstepping transformation that is introduced. An equivalent representation of the transport PDE/nonlinear ODE cascade via a nonlinear system with an input delay that is defined implicitly through an integral of the past input is also provided and the equivalent predictor-feedback control design for the delay system is presented. The validity of the proposed controller is illustrated applying a predictor-feedback bang-bang boundary control law to a PDE model of a production system with a queue. Consistent simulation results are provided that support the theoretical developments. (C) 2017 Elsevier Ltd. All rights reserved.
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