scholarly journals Design of a fuzzy adaptive controller for MIMO nonlinear time-delay systems with unknown actuator nonlinearities and unknown control direction

2010 ◽  
Vol 180 (24) ◽  
pp. 5041-5059 ◽  
Author(s):  
A. Boulkroune ◽  
M. M’Saad ◽  
H. Chekireb
Keyword(s):  
Time Delay ◽  
Adaptive Controller ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Fuzzy Adaptive Controller ◽  
Actuator Nonlinearities ◽  
Unknown Control ◽  
Unknown Control Direction ◽  
Control Direction ◽  
Fuzzy Adaptive

Adaptive Neural Control for Unknown Nonlinear Time-Delay Fractional-Order Systems With Input Saturation

2018 ◽  
pp. 54-98 ◽  
Author(s):  
Farouk Zouari ◽  
Amina Boubellouta
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Neural Control ◽  
Adaptive Neural Control ◽  
Adaptive Laws ◽  
Linear State ◽  
Unknown Control ◽  
The Stability ◽  
Unknown Control Direction ◽  
Control Direction

This chapter focuses on the adaptive neural control of a class of uncertain multi-input multi-output (MIMO) nonlinear time-delay non-integer order systems with unmeasured states, unknown control direction, and unknown asymmetric saturation actuator. The design of the controller follows a number of steps. Firstly, based on the semi-group property of fractional order derivative, the system is transformed into a normalized fractional order system by means of a state transformation in order to facilitate the control design. Then, a simple linear state observer is constructed to estimate the unmeasured states of the transformed system. A neural network is incorporated to approximate the unknown nonlinear functions while a Nussbaum function is used to deal with the unknown control direction. In addition, the strictly positive real (SPR) condition, the Razumikhin lemma, the frequency distributed model, and the Lyapunov method are utilized to derive the parameter adaptive laws and to perform the stability proof.

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