| Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems |
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| 作者姓名： | ZHANG Li-Ping YANG Fu-Wen |
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| 作者单位： | ZHANG Li-Ping YANG Fu-Wen (College of Mechanical Engineering and Automation，Fuzhou University，Fuzhou 350002) (College of Electrical Engineering and Automation，Fuzhou University，Fuzhou 350002) |
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| 基金项目： | Supported by National Natural Science Foundation of P. R. China (60474049) |
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| 摘 要： | An iterative learning control algorithm based on shifted Legendre orthogonal polynomials is proposed to address the terminal control problem of linear time-varying systems. First, the method parameterizes a linear time-varying system by using shifted Legendre polynomials approximation. Then, an approximated model for the linear time-varying system is deduced by employing the orthogonality relations and boundary values of shifted Legendre polynomials. Based on the model, the shifted Legendre polynomials coefficients of control function are iteratively adjusted by an optimal iterative learning law derived. The algorithm presented can avoid solving the state transfer matrix of linear time-varying systems. Simulation results illustrate the effectiveness of the proposed method.
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Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems |
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| ZHANG Li-Ping YANG Fu-Wen.Study on the Application of Iterative Learning Control to Terminal Control of Linear Time-varying Systems[J].Acta Automatica Sinica,2005(2). |
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| Authors: | ZHANG Li-Ping YANG Fu-Wen |
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| Abstract: | An iterative learning control algorithm based on shifted Legendre orthogonal polynomials is proposed to address the terminal control problem of linear time-varying systems. First, the method parameterizes a linear time-varying system by using shifted Legendre polynomials approximation. Then, an approximated model for the linear time-varying system is deduced by employing the orthogonality relations and boundary values of shifted Legendre polynomials. Based on the model, the shifted Legendre polynomials coefficients of control function are iteratively adjusted by an optimal iterative learning law derived. The algorithm presented can avoid solving the state transfer matrix of linear time-varying systems. Simulation results illustrate the effectiveness of the proposed method. |
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| Keywords: | Iterative learning control orthogonal polynomials terminal control linear time-varying system |
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