scholarly journals Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yeguo Sun ◽  
Heng Liu
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Tracking Error ◽  
Performance Bounds ◽  
Fuzzy Logic Systems ◽  
Feedback Form ◽  
Constrained System ◽  
Prescribed Performance ◽  
Uncertain Chaotic Systems ◽  
Fuzzy Adaptive

This paper presents a fuzzy adaptive control method for MIMO uncertain chaotic systems in nonstrict feedback form, which is capable of guaranteeing the prescribed performance bounds. For the prescribed performance bounds, we mean that the tracking error should converge to a predefined arbitrarily small set, with convergence rate no more than a prescribed value. A novel output error transformation is introduced to transform the original constrained system into an equivalent unconstrained one, and it is proved that the stabilization of the unconstrained system is sufficient to solve the problem. Based on the error transformation technique, a fuzzy adaptive controller is designed for the unconstrained system. For updating the parameters of the fuzzy logic systems, a proportional-integral adaptation law is proposed. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.

scholarly journals Fuzzy Adaptive Prescribed Performance Control for Uncertain Horizontal Platform System with Unknown Control Gain

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Wei Xiang ◽  
Yeguo Sun ◽  
Chunzhi Yang
Keyword(s):  
Control Method ◽  
Adaptive Controller ◽  
Performance Bounds ◽  
Constrained System ◽  
Prescribed Performance ◽  
Performance Technique ◽  
Control Gain ◽  
Unknown Control ◽  
Platform System ◽  
Fuzzy Adaptive

This paper proposes a fuzzy adaptive control method for uncertain horizontal platform system with unknown control gain, which is capable of guaranteeing the prescribed performance bounds. An error transformation is introduced to transform the original constrained system into an equivalent unconstrained one. Then, based on the error transformation technique and the predefined performance technique, a fuzzy adaptive controller is designed for the unconstrained system. It is shown that all the variables of the resulting closed-loop system are bounded. Finally, an illustrative example is given to demonstrate the effectiveness and usefulness of the proposed method.

scholarly journals Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Xin Ma ◽  
Fang Zhu
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Theory ◽  
Synchronization Control ◽  
Fuzzy Logic Systems ◽  
Prescribed Performance ◽  
Synchronization Errors ◽  
Nussbaum Function ◽  
Control Gain ◽  
Unknown Control

For a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. Here, Nussbaum function is used to eliminate the influence of unknown control gain signs, and fuzzy logic systems are used to estimate unknown functions. Lyapunov theory is used to prove that all synchronization errors converge to a predefined small performance range under the designed control method. Finally, simulation results are provided to illustrate the feasibility of the proposed method.

scholarly journals Fuzzy Adaptive Prescribed Performance Control for a Class of Uncertain Nonlinear Systems with Unknown Dead-Zone Inputs

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Wei Xiang ◽  
Ning Li ◽  
Yeguo Sun
Keyword(s):  
Control Method ◽  
Dead Zone ◽  
Constrained System ◽  
Performance Control ◽  
Prescribed Performance ◽  
Performance Technique ◽  
Prescribed Performance Control ◽  
Feedback Control Method ◽  
Unknown Control ◽  
Fuzzy Adaptive

This paper proposes a fuzzy adaptive prescribed performance control scheme for a class of uncertain chaotic systems with unknown control gains and unknown dead-zone inputs. Firstly, an error transformation is introduced to transform the original constrained system into an equivalent unconstrained one. Then, based on the error transformation technique and the predefined performance technique, a fuzzy adaptive feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded. Finally, an illustrative example is given to demonstrate the effectiveness and usefulness of the proposed technique.

scholarly journals Adaptive Sliding Mode Control Method for Z-Axis Vibrating Gyroscope Using Prescribed Performance Approach

2020 ◽  
Vol 10 (14) ◽  
pp. 4779 ◽  
Author(s):  
Cheng Lu ◽  
Liang Hua ◽  
Xinsong Zhang ◽  
Huiming Wang ◽  
Yunxiang Guo
Keyword(s):  
Sliding Mode Control ◽  
Error Bound ◽  
Control Method ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Sliding Mode Control ◽  
Performance Control ◽  
Prescribed Performance ◽  
Adaptive Sliding Mode ◽  
Mode Control

This paper investigates one kind of high performance control methods for Micro-Electro-Mechanical-System (MEMS) gyroscopes using adaptive sliding mode control (ASMC) scheme with prescribed performance. Prescribed performance control (PPC) method is combined with conventional ASMC method to provide quantitative analysis of gyroscope tracking error performances in terms of specified tracking error bound and specified error convergence rate. The new derived adaptive prescribed performance sliding mode control (APPSMC) can maintain a satisfactory control performance which guarantees system tracking error, at any time, to be within a predefined error bound and the error convergences faster than the error bound. Besides, adaptive control (AC) technique is integrated with PPC to online tune controller parameters, which will converge to their true values at last. The stability of the control system is proved in the Lyapunov stability framework and simulation results on a Z-axis MEMS gyroscope is conducted to validate the effectiveness of the proposed control approach.

Synchronization and Antisynchronization of a Class of Chaotic Systems With Nonidentical Orders and Uncertain Parameters

2014 ◽  
Vol 10 (1) ◽  
Author(s):  
Diyi Chen ◽  
Weili Zhao ◽  
Xinzhi Liu ◽  
Xiaoyi Ma
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Order System ◽  
Theory Analysis ◽  
Integer Order ◽  
Uncertain Chaotic Systems ◽  
Hyperchaotic Systems ◽  
Fractional Orders ◽  
Good Agreement

In this paper, we study the synchronization of a class of uncertain chaotic systems. Based on the sliding mode control and stability theory in fractional calculus, a new controller is designed to achieve synchronization. Examples are presented to illustrate the effectiveness of the proposed controller, like the synchronization between an integer-order system and a fraction-order system, the synchronization between two fractional-order hyperchaotic systems (FOHS) with nonidentical fractional orders, the antisynchronization between an integer-order system and a fraction-order system, the synchronization between two new nonautonomous systems. The simulation results are in good agreement with the theory analysis and it is noted that the proposed control method is of vital importance for practical system parameters are uncertain and imprecise.

SYNCHRONIZATION OF TWO UNCERTAIN CHAOTIC SYSTEMS VIA ADAPTIVE BACKSTEPPING

2001 ◽  
Vol 11 (06) ◽  
pp. 1743-1751 ◽  
Author(s):  
C. WANG ◽  
S. S. GE
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Design Procedure ◽  
Research Literature ◽  
Adaptive Synchronization ◽  
Adaptive Backstepping ◽  
Feedback Form ◽  
Bounded Linear ◽  
Nonlinear Chaotic System ◽  
Uncertain Chaotic Systems

In this letter, adaptive synchronization of two uncertain chaotic systems is presented using adaptive backstepping with tuning functions. The master system is any smooth, bounded, linear-in-the-parameters nonlinear chaotic system, while the slave system is a nonlinear chaotic system in the strict-feedback form. Both master and slave systems are with key parameters unknown. Global stability and asymptotic synchronization between the outputs of master and slave systems can be achieved. The proposed approach offers a systematic design procedure for adaptive synchronization of a large class of continuous-time chaotic systems in the chaos research literature. Simulation results are presented to show the effectiveness of the approach.

scholarly journals Prescribed Performance Fuzzy Adaptive Output-Feedback Control for Nonlinear Stochastic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Lili Zhang ◽  
Shuai Sui ◽  
Shaocheng Tong
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Stochastic Systems ◽  
Output Feedback Control ◽  
Performance Bounds ◽  
Nonlinear Stochastic Systems ◽  
Prescribed Performance ◽  
Adaptive Output Feedback Control ◽  
Fuzzy State ◽  
Fuzzy Adaptive

A prescribed performance fuzzy adaptive output-feedback control approach is proposed for a class of single-input and single-output nonlinear stochastic systems with unmeasured states. Fuzzy logic systems are used to identify the unknown nonlinear system, and a fuzzy state observer is designed for estimating the unmeasured states. Based on the backstepping recursive design technique and the predefined performance technique, a new fuzzy adaptive output-feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin with the prescribed performance bounds. A simulation example is provided to show the effectiveness of the proposed approach.

scholarly journals Finite-Time Synchronization Between Two Different Chaotic Systems by Adaptive Sliding Mode Control

2021 ◽  
Vol 7 ◽  
Author(s):  
Nipaporn Tino ◽  
Piyapong Niamsup
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Different Chaotic Systems

The finite-time chaos synchronization between two different chaotic systems with uncertain parameters and external disturbances is studied. A new and improved adaptive fast nonsingular terminal sliding mode control (ANFTSM) has been designed for a fast rate convergence of tracking error to zero in finite time. The effectiveness of the proposed control method is shown in simulation results.

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