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Nonlinear robust control (NRC) multi-objective design problem (MDP) by uncertain multibody electromechanical tracking systems (UMETS) formulated. State vector functionally multiple membership concept (SVFMMC) based on satisfying various requirement possibilities (SVRP) to various modes system operations imposed (VMSOI) is shown. Hamilton–Jacobi-Bellman-Isaacs equation (HJBIE)-based solution possibility is shown. Weight matrix calculation method is substantiated and developed. Stochastic multiagent optimization algorithm (SMOA)-based robust control goal vector (RCGV) is calculated as multi-objective nonlinear programming problem solution (MNPPS). Vector nonlinear objective function (VNOF) calculated by modeling plant closed by designed NRC in VMSOI and with various input signals (VIS). Modeling and experimental study results (MESR) of UMTS are presented. MDP for NRC application by UMETS based on SVFMMC, MDP, HJBIE, and SMOA of SVRP made it possible significantly increased design UMETS in VMSOI and reduced designed system sensitivity to plant parameters’ uncertainty are shown.

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Multi-Objective Design of Nonlinear Robust Tracking Systems Based on Particles Swarm Optimization Algorithms

  • 会议论文

  • 发表日期：

    2025年

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  • Borys Kuznetsov,
  • Tatyana Nikitina,
  • Ihor Bovdui,
  • Roman Voliansky,
  • Olha Sushchenko,
  • Yuliya Averyanova,
  • Oleksandr Solomentsev,
  • Oleksii Holubnychyi,
  • Maksym Zaliskyi,
  • Yurii Bezkorovainyi,
  • Kostiantyn Cherednichenko,
  • Olena Sokolova,
  • Viktoriia Ivannikova,
  • Ivan Ostroumov

摘要

Nonlinear robust control (NRC) multi-objective design problem (MDP) by uncertain multibody electromechanical tracking systems (UMETS) formulated. State vector functionally multiple membership concept (SVFMMC) based on satisfying various requirement possibilities (SVRP) to various modes system operations imposed (VMSOI) is shown. Hamilton–Jacobi-Bellman-Isaacs equation (HJBIE)-based solution possibility is shown. Weight matrix calculation method is substantiated and developed. Stochastic multiagent optimization algorithm (SMOA)-based robust control goal vector (RCGV) is calculated as multi-objective nonlinear programming problem solution (MNPPS). Vector nonlinear objective function (VNOF) calculated by modeling plant closed by designed NRC in VMSOI and with various input signals (VIS). Modeling and experimental study results (MESR) of UMTS are presented. MDP for NRC application by UMETS based on SVFMMC, MDP, HJBIE, and SMOA of SVRP made it possible significantly increased design UMETS in VMSOI and reduced designed system sensitivity to plant parameters’ uncertainty are shown.