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Variable Time Step Algorithm for Transient Response Analysis for Control and Optimization
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DOI：10.3390/fractalfract8120710.png)
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This work considers an optimization problem based on step response characteristics. We lay a foundation for it by designing a rapid transient response analysis algorithm with variable time steps. This method applies to linear ordinary differential equations with real order. Numerical tests of the algorithm in the integer case show significant improvement even for higher order systems. This suggests a new method for acquiring step response characteristics for the fractional order case for which we have constructed an explicit expression of the inverse Laplace transform.
Keyword:
control theory
algorithms
step response analysis
fractional order systems
inverse Laplace transform
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