Sliding Mode Control of Fractional Order Systems

2014 ◽  
pp. 91-114 ◽  
Author(s):  
Bijnan Bandyopadhyay ◽  
Shyam Kamal
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Fractional Order Systems ◽  
Mode Control

Observer-Based Sliding Mode Control for a Class of Noncommensurate Fractional-Order Systems

2015 ◽  
Vol 20 (5) ◽  
pp. 2504-2512 ◽  
Author(s):  
Amruta Mujumdar ◽  
Bhagyashri Tamhane ◽  
Shailaja Kurode
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Fractional Order Systems ◽  
Mode Control

Sliding mode control of uncertain fractional order systems with delay

2019 ◽  
Vol 93 (4) ◽  
pp. 934-943 ◽  
Author(s):  
Niraj Choudhary ◽  
Janardhanan Sivaramakrishnan ◽  
Indra Narayan Kar
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Fractional Order Systems ◽  
Mode Control

scholarly journals Adaptive Neural Network Sliding Mode Control for Nonlinear Singular Fractional Order Systems with Mismatched Uncertainties

2020 ◽  
Vol 4 (4) ◽  
pp. 50
Author(s):  
Xuefeng Zhang ◽  
Wenkai Huang
Keyword(s):  
Neural Network ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Rbf Neural Network ◽  
Linear Matrix ◽  
Fractional Order Systems ◽  
Sliding Surface ◽  
Mode Control ◽  
Necessary And Sufficient

This paper focuses on the sliding mode control (SMC) problem for a class of uncertain singular fractional order systems (SFOSs). The uncertainties occur in both state and derivative matrices. A radial basis function (RBF) neural network strategy was utilized to estimate the nonlinear terms of SFOSs. Firstly, by expanding the dimension of the SFOS, a novel sliding surface was constructed. A necessary and sufficient condition was given to ensure the admissibility of the SFOS while the system state moves on the sliding surface. The obtained results are linear matrix inequalities (LMIs), which are more general than the existing research. Then, the adaptive control law based on the RBF neural network was organized to guarantee that the SFOS reaches the sliding surface in a finite time. Finally, a simulation example is proposed to verify the validity of the designed procedures.

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