Design and Analysis of Optimization Algorithm for a Class of Uncertain Linear System

2013 ◽  
Vol 834-836 ◽  
pp. 1885-1888
Author(s):  
Hong Liu
Keyword(s):  
Linear System ◽  
Optimization Algorithm ◽  
Performance Index ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
The Other ◽  
Linear Controller ◽  
Uncertain Linear System ◽  
The Stability

An optimization algorithm method design and analysis is presented for class of linear uncertain systems. Firstly, it is shown that disturbances of linear uncertain systems are divided two parts by the projection matrix, one is matched and the other is unmatched part. Then the controller based on integral sliding mode and optimization performance index is constructed to ensure the robustness of the linear uncertain systems. Additionally, we give an optimization performance guaranteeing the stability of proposed procedure by using the Lyapunov theory. Simulations show the effectiveness of the method proposed that a linear system is best controlled by a linear controller.

Sliding Mode Control for a Class of Unmatched Uncertain Linear System

2011 ◽  
Vol 422 ◽  
pp. 846-849
Author(s):  
Zhan Shan Zhao ◽  
Lian Kun Sun ◽  
Jing Zhang
Keyword(s):  
Uncertain Systems ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Simulation Studies ◽  
Integral Sliding Mode ◽  
Uncertain Linear System ◽  
Self Tuning ◽  
Novel Method ◽  
The Stability ◽  
Nonlinear Robust

A novel method of designing nonlinear robust sliding mode controller is presented to a class of nonlinear unmatched uncertain systems based on integral sliding mode and self-tuning law. Firstly, the unmatched is will not be amplified by the discontinuous control. Then the controller based on integral sliding mode is constructed to ensure the robustness. The stability of proposed procedure is proven by using the Lyapunov theory and guarantees robustness against uncertainties. The upper bounds of uncertainties are not required to be known in advance. Finally, simulation studies demonstrate that the proposed controller is robust with respect to the perturbation.

scholarly journals Optimal New Sliding Mode Controller Combined with Modified Supertwisting Algorithm for a Perturbed Quadrotor UAV

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yassine El Houm ◽  
Ahmed Abbou ◽  
Moussa Labbadi ◽  
Mohamed Cherkaoui
Keyword(s):  
Sliding Mode ◽  
External Disturbance ◽  
Lyapunov Theory ◽  
Sliding Mode Controller ◽  
Time Varying ◽  
Sliding Surface ◽  
State Variables ◽  
Quadrotor Uav ◽  
The Stability ◽  
Quadrotor System

This paper deals with the design of a novel modified supertwisting fast nonlinear sliding mode controller (MSTFNSMC) to stabilize a quadrotor system under time-varying disturbances. The suggested control strategy is based on a modified supertwisting controller with a fast nonlinear sliding surface to improve the tracking performance. The paper suggests a simple optimization tool built-in MATLAB/Simulink to tune the proposed controller parameters. Fast convergence of state variables is established by using a nonlinear sliding surface for rotational and translational subsystems. The modified supertwisting controller is developed to suppress the effect of chattering, reject disturbances, and ensure robustness against external disturbance effect. The stability of the proposed controller (MSTFNSMC) is proved using the Lyapunov theory. The performance of the proposed MSTFNSMC approach is compared with the supertwisting sliding mode controller (STSMC) by numerical simulations to verify its effectiveness.

scholarly journals A neural network combined with sliding mode controller for the two-wheel self-balancing robot

2021 ◽  
Vol 10 (3) ◽  
pp. 592
Author(s):  
Duc-Minh Nguyen ◽  
Van-Tiem Nguyen ◽  
Trong-Thang Nguyen
Keyword(s):  
Neural Network ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Sliding Mode Controller ◽  
Control Laws ◽  
Noise Compensation ◽  
Simulation Results ◽  
Balancing Robot ◽  
The Stability

This article presents the sliding control method combined with the selfadjusting neural network to compensate for noise to improve the control system's quality for the two-wheel self-balancing robot. Firstly, the dynamic equations of the two-wheel self-balancing robot built by Euler–Lagrange is the basis for offering control laws with a neural network of noise compensation. After disturbance-compensating, the sliding mode controller is applied to control quickly the two-wheel self-balancing robot reached the desired position. The stability of the proposed system is proved based on the Lyapunov theory. Finally, the simulation results will confirm the effectiveness and correctness of the control method suggested by the authors.

scholarly journals ADAPTIVE SLIDING MODE CONTROL FOR BUILDING STRUCTURES USING MAGNETORHEOLOGICAL DAMPERS

2011 ◽  
Vol 14 (4) ◽  
pp. 92-105
Author(s):  
Hai Thanh Nguyen ◽  
Nghia Hoai Duong ◽  
Chuyen Quang Lam
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Adaptive Sliding Mode Control ◽  
Building Structures ◽  
Adaptive Sliding Mode ◽  
Mr Dampers ◽  
Mode Control ◽  
Indirect Control ◽  
The Stability

The adaptive sliding mode control for civil structures using Magnetorheological (MR) dampers is proposed for reducing the vibration of the building in this paper. Firstly, the indirect sliding mode control of the structures using these MR dampers is designed. Therefore, in order to solve the nonlinear problem generated by the indirect control, an adaptive law for sliding mode control (SMC) is applied to take into account the controller robustness. Secondly, the adaptive SMC is calculated for the stability of the system based on the Lyapunov theory. Finally, simulation results are shown to demonstrate the effectiveness of the proposed controller.

scholarly journals Sliding mode controller design for second-order unstable processes with dead-time

2020 ◽  
Vol 71 (4) ◽  
pp. 237-245
Author(s):  
Mohammad Atif Siddiqui ◽  
Md Nishat Anwar ◽  
Shahedul Haque Laskar
Keyword(s):  
Performance Index ◽  
Dead Time ◽  
Sliding Mode ◽  
Search Algorithm ◽  
Optimization Technique ◽  
Second Order ◽  
The Other ◽  
Control Law ◽  
Continuous Control ◽  
Discontinuous Control

AbstractA new approach is proposed to design the sliding mode (SM) controller for the unstable second-order plus dead-time (SOPDT) processes. The sliding mode control consists of two control laws ie continuous control law and discontinuous control law. The continuous control law parameters have been derived in terms of unstable SOPDT process parameters using the root locus technique. On the other hand, the parameters of discontinuous control law are tuned by optimizing a performance index using a recently developed metaheuristic search algorithm, namely the grasshopper optimization technique. The performance index is framed to achieve a good trade-off between performance and control efforts. Finally, simulations are conducted to validate the effectiveness of the proposed approach over the other existing techniques. It is observed that the proposed approach is able to deliver better disturbance rejection, minimal control efforts and good setpoint tracking.

An observer-based continuous adaptive sliding mode guidance against chattering for homing missiles

2019 ◽  
Vol 41 (12) ◽  
pp. 3309-3320 ◽  
Author(s):  
Jianguo Guo ◽  
Yifei Li ◽  
Jun Zhou
Keyword(s):  
Sliding Mode ◽  
Dimensional Space ◽  
Lyapunov Theory ◽  
Closed Loop System ◽  
Adaptive Function ◽  
Adaptive Sliding Mode ◽  
Guidance Law ◽  
Nonlinear Extended State Observer ◽  
The Stability ◽  
Homing Missiles

A novel observer-based continuous adaptive sliding mode guidance (OCASMG) is proposed for homing missiles. First, a new sliding mode guidance law is derived from the nonlinear dynamics describing the pursuit situation of a missile and a target in the two-dimensional space, where a continuous adaptive function is introduced to overcome the chattering problem in sliding mode. Second, to improve the accuracy of target interception, a new nonlinear extended state observer (NESO) is presented to estimate target acceleration and compensate for the sliding mode guidance law. The stability of observer-based closed-loop system is proved by Lyapunov theory. Finally, simulations are conducted on the nonlinear longitudinal missile model and results demonstrate the effectiveness of proposed method.

Position and attitude tracking of uncertain quadrotor unmanned aerial vehicles based on non-singular terminal super-twisting algorithm

2019 ◽  
Vol 234 (3) ◽  
pp. 396-408
Author(s):  
Walid Alqaisi ◽  
Yassine Kali ◽  
Jawhar Ghommam ◽  
Maarouf Saad ◽  
Vahé Nerguizian
Keyword(s):  
Sliding Mode ◽  
Design Procedure ◽  
Lyapunov Theory ◽  
Effective Control ◽  
Attitude Tracking ◽  
Control Scheme ◽  
The Stability ◽  
Terminal Sliding Surface ◽  
Twisting Algorithm ◽  
Twisting Control

This paper proposes an improved non-singular terminal super-twisting control for the problem of position and attitude tracking of quadrotor systems suffering from uncertainties and disturbances. The super-twisting algorithm is a second-order sliding mode known to be a very effective control used to provide high precision and less chattering for uncertain nonlinear electromechanical systems. The proposed method is based on a non-singular terminal sliding surface with new exponent that solves the problem of singularity. The design procedure and the stability analysis of the closed-loop system using Lyapunov theory are detailed for the considered system. Finally, the proposed control scheme is tested in simulations and by experiments on the parrot-rolling spider quadrotor. Moreover, a comparison is made with the standard super-twisting algorithm in the simulation part. The results obtained show adequate performance in trajectory tracking and chattering reduction.

scholarly journals Proxy-Based Sliding Mode Vibration Control with an Adaptive Approximation Compensator for Euler-Bernoulli Smart Beams

2020 ◽  
Vol 53 (6) ◽  
pp. 825-834
Author(s):  
Hayder F.N. Al-Shuka
Keyword(s):  
Sliding Mode Control ◽  
Vibration Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Pd Control ◽  
Adaptive Approximation ◽  
Mode Control ◽  
Sinusoidal Disturbance ◽  
The Stability ◽  
Modal Equation

Proxy-based sliding mode control PSMC is an improved version of PID control that combines the features of PID and sliding mode control SMC with continuously dynamic behaviour. However, the stability of the control architecture maybe not well addressed. Consequently, this work is focused on modification of the original version of the proxy-based sliding mode control PSMC by adding an adaptive approximation compensator AAC term for vibration control of an Euler-Bernoulli beam. The role of the AAC term is to compensate for unmodelled dynamics and make the stability proof more easily. The stability of the proposed control algorithm is systematically proved using Lyapunov theory. Multi-modal equation of motion is derived using the Galerkin method. The state variables of the multi-modal equation are expressed in terms of modal amplitudes that should be regulated via the proposed control system. The proposed control structure is implemented on a simply supported beam with two piezo-patches. The simulation experiments are performed using MATLAB/SIMULINK package. The locations of piezo-transducers are optimally placed on the beam. A detailed comparison study is implemented including three scenarios. Scenario 1 includes disturbing the smart beam while no feedback loop is established (open-loop system). In scenario 2, a PD controller is applied on the vibrating beam. Whereas, scenario 3 includes implementation of the PSMC+AAC. For all previously mentioned scenarios, two types of disturbances are applied separately: 1) an impulse force of 1 N peak and 1 s pulse width, and 2) a sinusoidal disturbance with 0.5 N amplitude and 20 Hz frequency. For impulse disturbance signals, the results show the superiority of the PSMC+AAC in comparison with the conventional PD control. Whereas, both the PSMC+ACC and the PD control work well in the case of a sinusoidal disturbance signal and the superiority of the PSMC is not clear.

Nonlinear Cutterhead Pose Control of Large-Diameter Slurry Shields in Complicated Stratum

2021 ◽  
Author(s):  
Hangjun Zhang ◽  
Jianhua Wei ◽  
Jinhui Fang ◽  
Yuzhu Yang
Keyword(s):  
Sliding Mode ◽  
Large Diameter ◽  
Adaptive Robust Control ◽  
Lyapunov Theory ◽  
Load Force ◽  
Nonlinear Controller ◽  
Special Adaptation ◽  
Pose Control ◽  
The Stability ◽  
Adaptation Law

Abstract To replace cutterhead worn tools conveniently or get rid of shield’s jamming effectively in complicated stratum, a new nonlinear cutterhead pose control system of large-diameter slurry shields is especially designed. High precision cutterhead pose control of large-diameter slurry shields is hardly achieved due to the uncertain load force and mass. A nonlinear controller constructed by adaptive robust control based on sliding mode is designed for this parallel mechanism, which includes a special adaptation law to compensate for the uncertainties. The stability of the whole closed loop system is verified based on Lyapunov theory. And the validity of the proposed strategy is proved by Simulink and AMESim co-simulation. The simulation results show that not only in control accuracy but also in parameter uncertainty, the designed nonlinear cutterhead pose control is effective.

New Sensorless Sliding Mode Control of a Five-phase Permanent Magnet Synchronous Motor Drive Based on Sliding Mode Observer

2017 ◽  
Vol 8 (1) ◽  
pp. 184 ◽  
Author(s):  
Anissa Hosseyni ◽  
Ramzi Trabelsi ◽  
Sanjeeve Kumar ◽  
Med Faouzi Mimouni ◽  
Atif Iqbal
Keyword(s):  
Sliding Mode Control ◽  
Permanent Magnet ◽  
Sliding Mode ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Lyapunov Theory ◽  
Sliding Mode Observer ◽  
Motor Drive ◽  
Mode Control ◽  
The Stability

<p>This paper proposes a sensorless sliding mode control (SMC) for a five phase permanent magnet synchronous motor (PMSM) based on a sliding mode observer (SMO). The stability of the proposed strategy is proved in the sense of the Lyapunov theory. The sliding mode controller is designed with an integral switching surface and the sliding mode observer is developed for the estimation of rotor position and rotor speed. The proposed sensorless control strategy exhibits good dynamic response to disturbances. Simulation results are provided to prove the effectiveness of the proposed strategy.</p>

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