An improved criterion for ellipsoidal invariant set of fractional order uncertain systems subject to input saturation

2018 ◽  
Author(s):  
Kai Chen ◽  
Rongnian Tang ◽  
Xupeng Chen ◽  
Chuang Li
Keyword(s):  
Fractional Order ◽  
Uncertain Systems ◽  
Input Saturation ◽  
Invariant Set

scholarly journals An Adaptive Control of Fractional-Order Nonlinear Uncertain Systems with Input Saturation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-17 ◽  
Author(s):  
Changhui Wang ◽  
Mei Liang ◽  
Yongsheng Chai
Keyword(s):  
Fuzzy Logic ◽  
Fractional Order ◽  
Uncertain Systems ◽  
Input Saturation ◽  
Fuzzy Logic System ◽  
Distributed Model ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Nonlinear Uncertain Systems ◽  
Logic System

This paper develops a fractional-order adaptive fuzzy backstepping control scheme for incommensurate fractional-order nonlinear uncertain systems with external disturbances and input saturation. Based on backstepping algorithm, the fuzzy logic system is used to approximate the unknown nonlinear uncertainties in each step of the backstepping, and the fractional-order parameters update laws for fuzzy logic system, unknown parameters, and the external disturbances are proposed. With the aids of the frequency distributed model of fractional integrator for the fractional-order systems in the procedure of controller design, the stability of the closed-loop system is established. To verify the effectiveness and robustness of the proposed controller, two simulation examples are demonstrated at last.

Robust Motion Planning for Uncertain Systems With Disturbances Using the Invariant-Set Motion Planner

2020 ◽  
Vol 65 (10) ◽  
pp. 4456-4463
Author(s):  
Claus Danielson ◽  
Karl Berntorp ◽  
Avishai Weiss ◽  
Stefano Di Cairano
Keyword(s):  
Motion Planning ◽  
Uncertain Systems ◽  
Invariant Set

scholarly journals Design of Adaptive Fuzzy Controllers for a Class of Fractional Order Nonlinear MIMO Systems With Input Saturation

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 104590-104602
Author(s):  
Changhui Wang ◽  
Jinwu Gao ◽  
Mei Liang ◽  
Yongsheng Chai
Keyword(s):  
Fractional Order ◽  
Mimo Systems ◽  
Input Saturation ◽  
Fuzzy Controllers ◽  
Adaptive Fuzzy
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