Nonlinear integral extension of PID control with improved convergence of perturbed second-order dynamic systems

التفاصيل البيبلوغرافية
العنوان: Nonlinear integral extension of PID control with improved convergence of perturbed second-order dynamic systems
المؤلفون: Ruderman, Michael
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control
الوصف: Nonlinear extension of the integral part of PID feedback control is proposed for the perturbed second-order systems. For the matched constant perturbations, the global asymptotic stability is shown, and for Lipschitz perturbations an ultimately bounded output error is guaranteed. The second-order system plants can also be expanded by an additional (parasitic) actuator dynamics with low-pass characteristics. The proposed nonlinear control is proven to outperform its linear (PID) benchmarking counterpart during the settling phase, i.e. at convergence of the residual output error. An experimental case study of the second-order system with an additional actuator dynamics and considerable perturbation is demonstrated to confirm and benchmark the control performance.
Comment: 6 pages, 9 figures
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2404.02502Test
رقم الانضمام: edsarx.2404.02502
قاعدة البيانات: arXiv