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In this chapter, to address the control problem caused by spatiotemporal dynamics, complex boundary conditions and practical circumstances, a data-driven spatiotemporal LS-SVM inverse control method is proposed. First, the spatiotemporal LS-SVM is applied to reconstruct dynamics of DPSs using data. Then, considering that thermal processes during metal forming are typically slow-varying, a spatiotemporal LS-SVM inverse control method is proposed based on the developed model. Unlike the centralized control law, the spatiotemporal control law is derived to consider the effects of the inputs on all space points. Additional analysis and a stability proof indicate the stability of the closed-loop control system.

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Data-Driven Spatiotemporal Inverse Control Approach

  • 章节

  • 发表日期：

    2026年

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  • Bowen Xu,
  • Xinjiang Lu

摘要

In this chapter, to address the control problem caused by spatiotemporal dynamics, complex boundary conditions and practical circumstances, a data-driven spatiotemporal LS-SVM inverse control method is proposed. First, the spatiotemporal LS-SVM is applied to reconstruct dynamics of DPSs using data. Then, considering that thermal processes during metal forming are typically slow-varying, a spatiotemporal LS-SVM inverse control method is proposed based on the developed model. Unlike the centralized control law, the spatiotemporal control law is derived to consider the effects of the inputs on all space points. Additional analysis and a stability proof indicate the stability of the closed-loop control system.