Abstract
A systematic approach is presented for nonlinear control design of roll-to-roll (R2R) dynamic system for printed electronics manufacturing technology. Control design is firstly proposed for a general multi-output multi-input (MIMO) strict-feedback class of nonlinear dynamic systems. The approach starts with formulation of integrator-backstepping control (IBSC) law for the system by introducing a modified tracking error, which is structured by adding an integrator of normal tracking error in state coordinate transformation. Considering each subsystem of control design process via a chosen Control Lyapunov function (CLF) and parameter assignment results in an IBSC law. Then, an IBSC law-based control strategy is provided for the design model. Web velocity and tension control of nonlinear R2R web dynamics is applied by using the the proposed method. Dynamic analysis is made to transform a general nonlinear R2R web dynamics into a standard MIMO strict-feedback form for control analysis and design. With the achieved model, an IBSC-based control algorithm is provided for the study of numerical simulation and experiment. Control software is developed using the Labview FPGA on PXI platform for implementing studies of numerical simulation and experiment to validate the reliability and feasibility of the proposed method.
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