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<p>This study integrates preview control with iterative learning control and proposes a novel iterative learning preview control (ILPC) framework for nonlinear systems. First, we employed the Takagi–Sugeno (T-S) fuzzy model for accurate description of nonlinear systems. To address the challenges posed by unmeasurable system states and previewed reference signals, a fuzzy observer-based ILPC strategy is proposed for tracking control. With this strategy, an augmented model was established to transform the task of constructing a fuzzy observer-based ILPC law into the task of satbilization the augmented error system (AES). Furthermore, by integrating fuzzy Lyapunov functions and linear matrix inequalities (LMIs), we derived the sufficient stability conditions for the AES. This integrated approach enables the simultaneous design of both the ILPC law and the fuzzy observer. Finally, we numerically demonstrated the effectiveness of the proposed ILPC control scheme.</p>

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Observer-Based Iterative Learning Preview Control in Takagi–Sugeno Fuzzy Systems

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Li Li,
  • Jiang Wu,
  • Ye Hui,
  • Yaofeng Zhang

摘要

This study integrates preview control with iterative learning control and proposes a novel iterative learning preview control (ILPC) framework for nonlinear systems. First, we employed the Takagi–Sugeno (T-S) fuzzy model for accurate description of nonlinear systems. To address the challenges posed by unmeasurable system states and previewed reference signals, a fuzzy observer-based ILPC strategy is proposed for tracking control. With this strategy, an augmented model was established to transform the task of constructing a fuzzy observer-based ILPC law into the task of satbilization the augmented error system (AES). Furthermore, by integrating fuzzy Lyapunov functions and linear matrix inequalities (LMIs), we derived the sufficient stability conditions for the AES. This integrated approach enables the simultaneous design of both the ILPC law and the fuzzy observer. Finally, we numerically demonstrated the effectiveness of the proposed ILPC control scheme.