Fractional/distributed-order systems and irrational transfer functions with monotonic step responses

被引：14
作者：
Tavazoei, Mohammad Saleh [1 ]
机构：
[1] Sharif Univ Technol, Dept Elect Engn, Tehran, Iran
来源：
JOURNAL OF VIBRATION AND CONTROL | 2014年 / 20卷 / 11期
基金：
美国国家科学基金会;
关键词：
Fractional-order system; distributed-order system; irrational transfer function; monotonic step response; nonnegative impulse response; NONNEGATIVE IMPULSE-RESPONSE; NUMERICAL INVERSION; LAPLACE TRANSFORM; LTI SYSTEMS; CONTROLLERS; SIMULATION; STABILITY; OVERSHOOT; ACCURACY; EXTREMA;
D O I：
10.1177/1077546313481049
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
This paper deals with irrational transfer functions having monotonic nondecreasing step responses. Firstly, some results on the monotonicity of step responses in irrational transfer functions describing fractional- or distributed-order systems are presented. Then, some conditions guaranteeing the existence of monotonic nondecreasing step responses in more general forms of irrational transfer functions are found. Various examples are brought to show the usefulness of the obtained results in time response analysis of fractional/distributed-order systems. The achievements of the paper can be used in the design of control systems having monotonic step responses.
引用
收藏
页码：1697 / 1706
页数：10
相关论文
共 50 条
  • [21] Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation
    Fei, Mingfa
    Huang, Chengming
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (06) : 1183 - 1196
  • [22] Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators
    Li, Nan
    Wang, Xiaoping
    Xu, Huanying
    Qi, Haitao
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 215 : 291 - 305
  • [23] A Fully Discrete LDG Method for the Distributed-Order Time-Fractional Reaction-Diffusion Equation
    Wei, Leilei
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (03) : 979 - 994
  • [24] Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations
    Guang-hua Gao
    Zhi-zhong Sun
    Numerical Algorithms, 2017, 74 : 675 - 697
  • [25] Implicit Runge–Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation
    Jingjun Zhao
    Yanming Zhang
    Yang Xu
    Computational and Applied Mathematics, 2020, 39
  • [26] Two difference schemes for solving the one-dimensional time distributed-order fractional wave equations
    Gao, Guang-hua
    Sun, Zhi-zhong
    NUMERICAL ALGORITHMS, 2017, 74 (03) : 675 - 697
  • [27] Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term
    Jiahui Hu
    Jungang Wang
    Yufeng Nie
    Advances in Difference Equations, 2018
  • [28] Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term
    Hu, Jiahui
    Wang, Jungang
    Nie, Yufeng
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [29] Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation
    Xu, Yang
    Zhang, Yanming
    Zhao, Jingjun
    APPLIED NUMERICAL MATHEMATICS, 2019, 142 : 122 - 138
  • [30] Continued Fraction Expansion of Irrational Transfer Functions for Simulation of Physical Systems
    Pucik, Jozef
    Lukac, Tomas
    Ondracek, Oldrich
    2015 25TH INTERNATIONAL CONFERENCE RADIOELEKTRONIKA (RADIOELEKTRONIKA), 2015, : 164 - 167
12345