Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind |
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Authors: | TSU-TIAN LEE SHUH-CHUAN TSAY |
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Affiliation: | Institute of Control Engineering, National Chiao Tung University , Hsinchu, Taiwan, 300, Republic of China |
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Abstract: | Linear time-varying systems and bilinear systems are analysed via shifted Chebyshev polynomials of the second kind. Using the operational matrix for integration and the product operational matrix, the dynamical equation of a linear time-varying system (or bilinear system) is reduced to a set of simultaneous linear algebraic equations. The coefficient vectors of shifted Chebyshev polynomials of the second kind can be determined by using the least-squares method. Illustrative examples show that shifted Chebyshev polynomials of the second kind having a finite number of terms are more accurate than either the Legendre or Laguerre methods. |
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