<p>A novel finite-time fuzzy preview tracking controller is proposed for nonlinear systems with input saturation. The proposed controller uses a Takagi–Sugeno (T–S) fuzzy model-based approach to achieve robust tracking performance in the presence of input constraints. The proposed design accounts for time-varying uncertainties and input saturation constraints while ensuring the desired emphasis. This was accomplished by integrating the T–S fuzzy system with time-varying uncertainties and input saturation to construct an augmented error system (AES), thereby converting the original finite-time fuzzy preview tracking control challenge into a finite-time stability problem for the AES. Subsequently, a novel static output finite-time fuzzy preview tracking controller was designed, incorporating the output of the T–S fuzzy systems, a dedicated integrator, and a previewed reference signal to address the tracking control problem. New sufficient conditions for the finite-time stability of AES were developed using the fuzzy Lyapunov function, finite-time stability theory, and the linear matrix inequality approach. Ultimately, the effectiveness of the proposed method was validated through two numerical examples.</p>

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Finite-Time Tracking Control for Nonlinear Systems with Input Saturation Using a Preview Control Approach

  • Li Li,
  • Yaofeng Zhang,
  • Jiang Wu

摘要

A novel finite-time fuzzy preview tracking controller is proposed for nonlinear systems with input saturation. The proposed controller uses a Takagi–Sugeno (T–S) fuzzy model-based approach to achieve robust tracking performance in the presence of input constraints. The proposed design accounts for time-varying uncertainties and input saturation constraints while ensuring the desired emphasis. This was accomplished by integrating the T–S fuzzy system with time-varying uncertainties and input saturation to construct an augmented error system (AES), thereby converting the original finite-time fuzzy preview tracking control challenge into a finite-time stability problem for the AES. Subsequently, a novel static output finite-time fuzzy preview tracking controller was designed, incorporating the output of the T–S fuzzy systems, a dedicated integrator, and a previewed reference signal to address the tracking control problem. New sufficient conditions for the finite-time stability of AES were developed using the fuzzy Lyapunov function, finite-time stability theory, and the linear matrix inequality approach. Ultimately, the effectiveness of the proposed method was validated through two numerical examples.