Fixed-time adaptive general type-2 fuzzy logic control for air-breathing hypersonic vehicle

2021 ◽  
pp. 014233122199141
Author(s):  
Chaojun Yu ◽  
Ju Jiang ◽  
Shuo Wang ◽  
Bing Han
Keyword(s):  
Fuzzy Logic ◽  
General Type ◽  
Closed Loop ◽  
Fixed Time ◽  
Hypersonic Vehicle ◽  
Loop System ◽  
Closed Loop System ◽  
Feedback Form ◽  
Air Breathing

This paper proposes a novel fixed-time adaptive general type-2 fuzzy logical control (FAGT2FLC) scheme for an air-breathing hypersonic vehicle (AHV) with uncertainties. Firstly, the AHV dynamic model is transformed into a strict feedback form. Then, the FAGT2FLC is designed based on the transformed model to improve robustness and guarantee fixed-time convergence of the closed-loop system. The general type-2 fuzzy logic system (GT2FLS) is utilized to approximate the model uncertainties; for the purpose of designing adaptive laws, the [Formula: see text]-plane method is employed to represent the GT2FLS. A parameter projection operator is used to solve the possible singularity problem of parameter adaption. Besides, a fixed-time differentiator is used to deal with the “explosion of terms” inherent in backstepping method. Theoretical analysis based on relevant lemmas shows that the closed-loop system will converge into a small error band in fixed time. Lastly, detailed simulations are carried out to demonstrate the effectiveness and superiority of the proposed control scheme.

Stabilization of Nonlinear Strict-Feedback Systems With Time-Varying Delayed Integrators

2011 ◽  
Author(s):  
Nikolaos Bekiaris-Liberis ◽  
Miroslav Krstic
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Closed Loop ◽  
Loop System ◽  
Time Varying ◽  
Feedback Systems ◽  
Closed Loop System ◽  
Feedback Form ◽  
Globally Asymptotically Stable ◽  
Strict Feedback

We consider nonlinear systems in the strict-feedback form with simultaneous time-varying input and state delays, for which we design a predictor-based feedback controller. Our design is based on time-varying, infinite-dimensional backstepping transformations that we introduce, to convert the system to a globally asymptotically stable system. The solutions of the closed-loop system in the transformed variables can be found explicitly, which allows us to establish its global asymptotic stability. Based on the invertibility of the backstepping transformation, we prove global asymptotic stability of the closed-loop system in the original variables. Our design is illustrated by a numerical example.

Fuzzy logic closed loop system for propofol and remifentanil administration using bispectral index and haemodynamics

2004 ◽  
Vol 21 (Supplement 32) ◽  
pp. 19 ◽  
Author(s):  
B. Guignard ◽  
C. Coste ◽  
V. Joly ◽  
P. Alfonsi ◽  
M. Chauvin
Keyword(s):  
Fuzzy Logic ◽  
Bispectral Index ◽  
Closed Loop ◽  
Loop System ◽  
Closed Loop System

FUZZY LOGIC CLOSED LOOP SYSTEM FOR PROPOFOL ADMINISTRATION USING BISPECTRAL INDEX AND HEMODYNAMICS

1998 ◽  
Vol 89 (Supplement) ◽  
pp. 1218A ◽  
Author(s):  
B. Guignard ◽  
C. Meniguax ◽  
X. Dupont ◽  
M. Chauvin
Keyword(s):  
Fuzzy Logic ◽  
Bispectral Index ◽  
Closed Loop ◽  
Loop System ◽  
Closed Loop System

scholarly journals Performance evaluation of a hybrid fuzzy logic controller based on genetic algorithm for three phase induction motor drive

2019 ◽  
Vol 10 (1) ◽  
pp. 117 ◽  
Author(s):  
Ahmed Jadaan Ali ◽  
Ziyad Farej ◽  
Nashwan Sultan
Keyword(s):  
Genetic Algorithm ◽  
Fuzzy Logic ◽  
Induction Motor ◽  
System Performance ◽  
Closed Loop ◽  
Fuzzy Logic Controller ◽  
Loop System ◽  
Error Signal ◽  
Closed Loop System ◽  
Three Phase

<p class="Author"><span>It is known that controlling the speed of a three phase Induction Motor (IM) under different operating conditions is an important task and this can be accomplished through the process of controlling the applied voltage on its stator circuit. Conventional Proportional- Integral- Differeantional (PID) controller takes long time in selecting the error signal gain values. In this paper a hybrid Fuzzy Logic Controller (FLC) with Genetic Algorithm (GA) is proposed to reduce the selected time for the optimized error signal gain values and as a result inhances the controller and system performance. The proposed controller FL with GA is designed, modeled and simulated using MATLAB/ software under different load torque motor operating condition. The simulation result shows that the closed loop system performance efficiency under the controller has a maximum value of 95.92%. In terms of efficiency and at reference speed signal of 146.53 rad/sec, this system performance shows an inhancement of 0.67%,0.49% and 0.05% with respect to the closed loop system efficiency performance of the PID, FL, and PID with GA controllers respectively. Also the simulation result of the well designed and efficient GA in speeding up the process of selecting the gain values, makes the system to have an efficiency improvement of 14.42% with respect to the open loop system performance.</span></p>

An alternative stability proof for “Adaptive type-2 fuzzy estimation of uncertainties in the control of electrically flexible-joint robots”

2018 ◽  
Vol 25 (5) ◽  
pp. 977-983 ◽  
Author(s):  
Alireza Izadbakhsh ◽  
Payam Kheirkhahan
Keyword(s):  
Closed Loop ◽  
Loop System ◽  
Control Input ◽  
Closed Loop System ◽  
Flexible Joint ◽  
Flexible Joint Robots ◽  
Robust Stability Analysis ◽  
The Stability ◽  
Estimation Of Uncertainties

This short note points out an improvement on the robust stability analysis for electrically driven flexible joint robots (EDFJR) given in the 2017 paper by Zirkohi and Fateh, entitled “Adaptive type-2 fuzzy estimation of uncertainties in the control of electrically flexible-joint robots.” In their paper, the authors present an interval Type-2 Adaptive fuzzy control scheme for EDFJR. The nonlinearities associated with actuator input constraints have been also considered in their paper. They discussed the saturated and unsaturated region of the control input separately and neglected the transition state between these regions. Moreover, they did not guarantee the stability of the closed-loop system in the saturated area. In this note, an alternative stability proof is presented that does not require this separation, and which guarantees the stability in a more general framework. The overall closed-loop system is proven to be robust, and bounded-input, bounded-output stable, while the motor/joint position errors are uniformly-ultimately bounded based on the Lyapunov's stability concept.

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