Adaptive Sliding Mode Control of a Single Degree-of-Freedom Structure with Parameter Uncertainty

2012 ◽  
Author(s):  
Leila Fatemi ◽  
Hamidreza Momeni ◽  
Ghasem Alizadeh ◽  
Mehdi Baradaran-nia
Keyword(s):  
Sliding Mode Control ◽  
Parameter Uncertainty ◽  
Sliding Mode ◽  
Degree Of Freedom ◽  
Adaptive Sliding Mode Control ◽  
Single Degree Of Freedom ◽  
Adaptive Sliding Mode ◽  
Single Degree ◽  
Mode Control

Sliding Mode Control of Vibration in Single-Degree-of-Freedom Fractional Oscillators

2017 ◽  
Vol 139 (11) ◽  
Author(s):  
Jian Yuan ◽  
Youan Zhang ◽  
Jingmao Liu ◽  
Bao Shi
Keyword(s):  
Differential Equations ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Degree Of Freedom ◽  
State Variables ◽  
State Equations ◽  
Control Laws ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Mode Control

This paper proposes sliding mode control of vibration in three types of single-degree-of-freedom (SDOF) fractional oscillators: the Kelvin–Voigt type, the modified Kelvin–Voigt type, and the Duffing type. The dynamical behaviors are all described by second-order differential equations involving fractional derivatives. By introducing state variables of physical significance, the differential equations of motion are transformed into noncommensurate fractional-order state equations. Fractional sliding mode surfaces are constructed and the stability of the sliding mode dynamics is proved by means of the diffusive representation and Lyapunov stability theory. Then, sliding mode control laws are designed for fractional oscillators, respectively, in cases where the bound of the external exciting force is known or unknown. Furthermore, sliding mode control laws for nonzero initialization case are designed. Finally, numerical simulations are carried out to validate the above control designs.

Optimal sliding mode control of single degree-of-freedom hysteretic structural system

2012 ◽  
Vol 17 (11) ◽  
pp. 4455-4466 ◽  
Author(s):  
Mehdi Baradaran-nia ◽  
Ghasem Alizadeh ◽  
Sohrab Khanmohammadi ◽  
Bahman Farahmand Azar
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Degree Of Freedom ◽  
Structural System ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Mode Control

scholarly journals Adaptive Sliding Mode Control Based on Equivalence Principle and Its Application to Chaos Control in a Seven-Dimensional Power System

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
Jiangbin Wang ◽  
Ling Liu ◽  
Chongxin Liu ◽  
Xiaoteng Li
Keyword(s):  
Sliding Mode Control ◽  
Power System ◽  
Design Process ◽  
Equivalence Principle ◽  
Sliding Mode ◽  
Chaotic Oscillation ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Control Scheme

The main purpose of the paper is to control chaotic oscillation in a complex seven-dimensional power system model. Firstly, in view that there are many assumptions in the design process of existing adaptive controllers, an adaptive sliding mode control scheme is proposed for the controlled system based on equivalence principle by combining fixed-time control and adaptive control with sliding mode control. The prominent advantage of the proposed adaptive sliding mode control scheme lies in that its design process breaks through many existing assumption conditions. Then, chaotic oscillation behavior of a seven-dimensional power system is analyzed by using bifurcation and phase diagrams, and the proposed strategy is adopted to control chaotic oscillation in the power system. Finally, the effectiveness and robustness of the designed adaptive sliding mode chaos controllers are verified by simulation.

scholarly journals Adaptive Sliding Mode Control for Attitude and Altitude System of a Quadcopter UAV via Neural Network

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 40076-40085
Author(s):  
Ngoc Phi Nguyen ◽  
Nguyen Xuan Mung ◽  
Ha Le Nhu Ngoc Thanh ◽  
Tuan Tu Huynh ◽  
Ngoc Tam Lam ◽  
...  
Keyword(s):  
Neural Network ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Adaptive Sliding Mode ◽  
Mode Control
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