Study on initial value problem for fractional-order cubature Kalman filters of nonlinear continuous-time fractional-order systems

被引：0
作者：
Chuang Yang
Zhe Gao
Yue Miao
Tao Kan
机构：
[1] Liaoning University,School of Mathematics
[2] Liaoning University,College of Light Industry
[3] Jilin University,Department of Control Science and Engineering
来源：
Nonlinear Dynamics | 2021年 / 105卷
关键词：
Nonlinear fractional-order systems; Extended Kalman filter; Cubature Kalman filter; State estimation; Initial value compensation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
To realize the state estimation of nonlinear continuous-time fractional-order systems, two types of fractional-order cubature Kalman filters are designed to solve problem on the initial value influence. For the first type of cubature Kalman filter (CKF), the initial value of the estimated system is also regarded as the augmented state, and the augmented state equation is constructed to obtain the CKF based on Grünwald–Letnikov difference. For the second type of CKF, the fractional-order hybrid extended-cubature Kalman filter is proposed to weaken the influence of initial value by the first-order Taylor expansion and the third-order spherical-radial rule. These two methods can reduce the influence of initial value on the state estimation effectively. Finally, the effectiveness of the proposed CKFs is verified by two simulation examples.
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页码：2387 / 2403
页数：16
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  • [1] Sun HG(2018)A new collection of real world applications of fractional calculus in science and engineering Commun. Nonlinear Sci. Numer. Simul. 64 213-231
  • [2] Zhang Y(2018)Macroeconomic models with long dynamic memory: fractional calculus approach Appl. Math. Comput. 338 466-486
  • [3] Baleanu D(2020)Adaptive fuzzy control for fractional-order interconnected systems with unknown control directions IEEE Trans. Fuzzy Syst. 346 531-544
  • [4] Chen W(2019)Representations of acting processes and memory effects: general fractional derivative and its application to theory of heat conduction with finite wave speeds Appl. Math. Comput. 227 243-251
  • [5] Chen YQ(2013)Fractional order controller design for desired response Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 18 2205-2220
  • [6] Tarasov VE(2016)An optimized fractional order PID controller for suppressing vibration of AC motor J. Vibroeng. 34 1467-1478
  • [7] Tarasova VV(2018)Robust self-tuning fractional order PID controller dedicated to non-linear dynamic system J. Intell. Fuzzy Syst. 63 39-48
  • [8] Liang BY(2016)A new fractional-order sliding mode controller via a nonlinear disturbance observer for a class of dynamical systems with mismatched disturbances ISA Trans. 93 23-39
  • [9] Zheng SQ(2019)Optimal adaptive interval type-2 fuzzy fractional-order backstepping sliding mode control method for some classes of nonlinear systems ISA Trans. 71 26-33
  • [10] Ahn CK(2018)Model predictive control for offset-free reference tracking of fractional order systems Control Eng. Pract. 9 43-53
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