Model reference adaptive control based on Lyapunov stability theory

Tang, Minan; Cao, Jie; Yang, Xiaoxiao; Wang, Xiaoming; Baohui, Gu

doi:10.1109/ccdc.2014.6852467

Cited by 4 publications

(1 citation statement)

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“…One way to achieve these goals consists in using control structures with a reference model designed on a basis of the second Lyapunov method. This method can also be applicable for MIMO systems [38][39][40][41]. Such control structures allow, that a general nonlinear time-variant continuous system would reach a defined stable steady state when using the prescribed reference model.…”

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confidence: 99%

Lyapunov Based Reference Model of Tension Control in a Continuous Strip Processing Line with Multi-Motor Drive

2019

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The article describes design and experimental verification of a new control structure with reference model for a multi-motor drive of a continuous technological line in which the motors are mutually mechanically coupled through processed material. Its principle consists in creating an additional information by introducing a new suitable state variable into the system. This helps to achieve a zero steady-state control deviation of the tension in the strip. Afterwards, the tension controller is designed to ensure asymptotic stability of the extended system by applying the second Lyapunov method. The realized experimental measurements performed on a continuous line laboratory model confirm the advantages and correctness of the proposed control structure: it is simple, stable, robust against changes of parameters, invariant to operating disturbances and ensures a high-quality dynamics of the controlled system prescribed by the reference model. To demonstrate effectiveness of the design, the performance of the controller was compared with properties of a standard Proportional Integral Derivative/Proportional Integral (PID/PI) controller designed in frequency domain.

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confidence: 99%