Fractional-order controllers for irrational systems Article uri icon

abstract

  • In this contribution, fractional-order controllers of the type PDμ and PIλ are applied to a class of irrational transfer function models that appear in large-scale systems, such as networks of mechanical/electrical elements and distributed parameter systems. More precisely, by considering the fractional-order controller (Formula presented.) in the Laplace domain with (Formula presented.), a stability analysis in the parameter-space (Formula presented.) is presented. Furthermore, as a way to measure the controller robustness, the controller%27s fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included. © 2021 The Authors. IET Control Theory %26 Applications published by John Wiley %26 Sons Ltd on behalf of The Institution of Engineering and Technology
  • In this contribution, fractional-order controllers of the type PDμ and PIλ are applied to a class of irrational transfer function models that appear in large-scale systems, such as networks of mechanical/electrical elements and distributed parameter systems. More precisely, by considering the fractional-order controller (Formula presented.) in the Laplace domain with (Formula presented.), a stability analysis in the parameter-space (Formula presented.) is presented. Furthermore, as a way to measure the controller robustness, the controller's fragility analysis using the parameter-space (Formula presented.) is derived. Finally, several applications that demonstrate the utility of our results are included. © 2021 The Authors. IET Control Theory %26 Applications published by John Wiley %26 Sons Ltd on behalf of The Institution of Engineering and Technology

publication date

  • 2021-01-01