Twisting Algorithm with Integral Sliding Surface for Positioning of Single-rod Electrohydraulic Actuator: an LMI approach

Author(s):  
Teerawat Sangpet ◽  
Pitcha Khamsuwan ◽  
Suwat Kuntanapreeda
2016 ◽  
Vol 829 ◽  
pp. 128-132 ◽  
Author(s):  
Van Van Huynh ◽  
Minh Hoang Quang Tran

In this paper, a new integral sliding mode control scheme is designed for the 3-pole active magnetic bearing system. First, a new integral sliding surface is designed such that the 3-pole active magnetic bearing system in the sliding mode is asymptotically stable under certain conditions. Then, an adaptive controller is designed to solve the unknown upper bound of matched uncertainty and guarantee the reachability of the integral sliding surface. Finally, the performance of the proposed integral sliding mode controller is applied to 3-pole active magnetic bearing system to demonstrate the efficacy of the proposed method.


2017 ◽  
Vol 20 (3) ◽  
pp. 1296-1302 ◽  
Author(s):  
Jianjun Bai ◽  
Renquan Lu ◽  
Zhengguang Wu ◽  
Ridong Zhang ◽  
Xiaodong Zhao ◽  
...  

2014 ◽  
Vol 573 ◽  
pp. 273-278 ◽  
Author(s):  
V.R. Ravi ◽  
M. Monica ◽  
S. Amuthameena ◽  
S.K. Divya ◽  
S. Jayashree ◽  
...  

In this paper, the robust control problem of interacting nonlinear multi-input multi-output (MIMO) systems is proposed. The robustness against unknown process parameter variation is considered. Three algorithms based on the Sliding Mode Control (SMC) are proposed: SMC with conventional surface, SMC with PID surface and SMC with integral surface. The effectiveness of these algorithms are simulated and implemented on Two Conical Tank Interacting Level System (TCTILS) which exhibits dynamic non linearity and coupling dynamics. The SMC with conventional sliding surface provides robust control against parameter variation and excellent set point tracking compared to SMC with PID sliding surface and SMC with integral sliding surface.


Author(s):  
C. B. Kadu ◽  
A. A. Khandekar ◽  
C. Y. Patil

This paper deals with the design of sliding mode controller (SMC) with proportional plus integral sliding surface for regulation and tracking of uncertain process control systems. However, design method requires linear state model of the system. Tuning parameter of SMC has been determined using linear quadratic regulator (LQR) approach. This results in optimum sliding surface for selected performance index. Matched uncertainty is considered to obtain the stability condition in terms of its upper bound. A conventional state observer has been used to estimate the states. The estimated states are then fed to controller for determining control signal. The simulation study and experimentation on real-life level system have been carried out to validate performance and applicability of the proposed controller.


2020 ◽  
Vol 53 (7-8) ◽  
pp. 1309-1317
Author(s):  
Bei Liu ◽  
Yang Yi ◽  
Hong Shen ◽  
Chengbo Niu

This brief proposes a novel composite observer-based integral sliding mode tracking control algorithm for a class of nonlinear systems affected by both actuator faults and mismatched disturbances. First, different types of observers, including the extended state observer, the fault diagnosis observer, and the disturbance observer, are integrated to estimate the unknown system state, actuator faults, and mismatched disturbances timely. Then, in accordance with the estimation information, the integral sliding surface and the integral sliding mode controller are proposed, which can tolerate the actuator faults and reject the mismatched disturbances. Meanwhile, the state trajectories can be driven into the specified sliding surface in a finite time. Furthermore, not only the stability, but the favorable dynamical tracking and the output constraints of closed-loop augmented systems can be guaranteed. Finally, the validities of the proposed algorithm are embodied by the simulation results of typical A4D systems.


2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Lijun Gao ◽  
Yuqiang Wu

This paper addresses the problem ofH∞control for a class of uncertain stochastic systems with Markovian switching and time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties and an unknown nonlinear function in the state. An integral sliding surface corresponding to every mode is first constructed, and the given sliding mode controller concerning the transition rates of modes can deal with the effect of Markovian switching. The synthesized sliding mode control law ensures the reachability of the sliding surface for corresponding subsystems and the global stochastic stability of the sliding mode dynamics. A simulation example is presented to illustrate the proposed method.


Author(s):  
Zhiqiang Ma ◽  
Zheng H Zhu ◽  
Guanghui Sun

This paper proposes a fractional-order integral sliding mode control with the order 0 <  ν < 1 to stabilize the deployment of tethered spacecraft system with only tension regulation. The work in this paper is partially based on integer-order nonlinear sliding mode controller and improves its performance with fractional-order calculus. The proposed scheme makes use of integral sliding surface to obtain smaller convergence regions of state errors, and the fractional derivative is synthesized to enhance the flexibility of controller design by fining parameters for better dynamic and steady-state performance. Fractional-order observers help to eliminate external disturbances while the adaptive law is presented to remove the adverse effect in stability analyses, and fractional-order uniform ultimate boundedness is proved to guarantee the existence of the proposed sliding surface. According to theoretical analyses, the fractional order will indeed affect the dynamic and steady-state performance of control system, and the proposed method will be verified in numerical simulations compared with the nonlinear sliding mode counterpart.


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