<p>This article addresses the cooperative tracking control problem of dual-arm cooperative robots (DARs), subject to uncertain dynamics, unknown input deadzone, and quantitative prescribed performance. The transient response, characterized by overshoot, peak value, and settling time, as well as the steady-state performance, quantified by residual error, could be fully quantitatively predefined by using a fixed-time prescribed function and a shifting function while maintaining the natural validity of initial errors. By constructing new error variables, the performance constraint problem is transformed into a bounded problem, which facilitates controller design. Uncertain dynamics and unknown input deadzone nonlinearity are approximated and compensated using fuzzy logic systems, respectively. The backstepping technique, integrated into the controller design, leverages Lyapunov theory to ensure not only the stability of the DARs system, but also the boundedness of all internal signals. Moreover, the internal force errors of the DARs are also capable of converging toward a small range close to zero. Simulations, along with comparative analyses against alternative methodologies, have confirmed the effectiveness and superiority of the proposed strategy.</p>

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Fuzzy control of uncertain dual-arm cooperative robots with quantitative performance and input deadzone

  • Hongshuai Liu,
  • Shucai Xu,
  • Jiafeng Song,
  • Binwu Ma

摘要

This article addresses the cooperative tracking control problem of dual-arm cooperative robots (DARs), subject to uncertain dynamics, unknown input deadzone, and quantitative prescribed performance. The transient response, characterized by overshoot, peak value, and settling time, as well as the steady-state performance, quantified by residual error, could be fully quantitatively predefined by using a fixed-time prescribed function and a shifting function while maintaining the natural validity of initial errors. By constructing new error variables, the performance constraint problem is transformed into a bounded problem, which facilitates controller design. Uncertain dynamics and unknown input deadzone nonlinearity are approximated and compensated using fuzzy logic systems, respectively. The backstepping technique, integrated into the controller design, leverages Lyapunov theory to ensure not only the stability of the DARs system, but also the boundedness of all internal signals. Moreover, the internal force errors of the DARs are also capable of converging toward a small range close to zero. Simulations, along with comparative analyses against alternative methodologies, have confirmed the effectiveness and superiority of the proposed strategy.