To effectively address the formidable control challenges posed by the \(K/{{\left( Ts+1 \right) }^{n}}\) -type high-order inertial systems, which are characterized by complex dynamics and inherent difficulties in achieving precise regulation, this paper proposes a novel pre-compensation-based active disturbance rejection control (PADRC) design. Subsequently, the quantitative tuning rules of PADRC, specifically tailored for the \(K/{{\left( Ts+1 \right) }^{n}}\) -type high-order inertial systems, are derived in painstaking detail. To thoroughly verify the advantages of PADRC over other common control strategies, control strategies like proportional-integral control (PI), conventional active disturbance rejection control (ADRC), and input modified active disturbance rejection control (MADRC) are carefully designed. After conducting simulation experiments and Monte Carlo experiments in crucial aspects including tracking performance, disturbance rejection ability, and the capacity to handle system uncertainties, the comparison results clearly demonstrated that PADRC obtained the best control performance with remarkable robustness.

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A Pre-compensation-Based Active Disturbance Rejection Control Design for A Class of High-Order Inertial Systems

  • Zihao Li,
  • Zhenlong Wu,
  • Yanhong Liu

摘要

To effectively address the formidable control challenges posed by the \(K/{{\left( Ts+1 \right) }^{n}}\) -type high-order inertial systems, which are characterized by complex dynamics and inherent difficulties in achieving precise regulation, this paper proposes a novel pre-compensation-based active disturbance rejection control (PADRC) design. Subsequently, the quantitative tuning rules of PADRC, specifically tailored for the \(K/{{\left( Ts+1 \right) }^{n}}\) -type high-order inertial systems, are derived in painstaking detail. To thoroughly verify the advantages of PADRC over other common control strategies, control strategies like proportional-integral control (PI), conventional active disturbance rejection control (ADRC), and input modified active disturbance rejection control (MADRC) are carefully designed. After conducting simulation experiments and Monte Carlo experiments in crucial aspects including tracking performance, disturbance rejection ability, and the capacity to handle system uncertainties, the comparison results clearly demonstrated that PADRC obtained the best control performance with remarkable robustness.