scholarly journals Composite observer-based integral sliding mode dynamical tracking control for nonlinear systems subject to actuator faults and mismatched disturbances

2020 ◽  
Vol 53 (7-8) ◽  
pp. 1309-1317
Author(s):  
Bei Liu ◽  
Yang Yi ◽  
Hong Shen ◽  
Chengbo Niu
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Actuator Faults ◽  
Integral Sliding Mode ◽  
Output Constraints ◽  
Integral Sliding Surface ◽  
The Stability ◽  
Mismatched Disturbances

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.

scholarly journals Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances

Electronics ◽  
2021 ◽  
Vol 10 (9) ◽  
pp. 1075
Author(s):  
Hong Shen ◽  
Xiaoli Zhang ◽  
Yang Yi
Keyword(s):  
Sliding Mode ◽  
Optimization Techniques ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Integral Sliding Mode ◽  
Unknown Disturbances ◽  
Integral Sliding Surface ◽  
The Stability ◽  
Mismatched Disturbances ◽  
Jump Systems

This paper addresses an integral sliding mode-based anti-disturbance control algorithm for a type of Markovian jump systems (MJSs), which are influenced by different types of mismatched disturbances. On one hand, as for those disturbances that can be modeled, the disturbance observer (DO) method is introduced to realize the dynamical estimation of disturbances. Based on this, both the integral sliding surface (ISS) and the composite anti-disturbance controller are proposed in succession for rejecting unknown disturbances and guaranteeing the stability of the controlled MJS. Meanwhile, the states of the controlled system are ensured to reach ISS within a finite time. In addition, the L1 performance index is given to attenuate the effects of bounded disturbances. The controller and observer gains can be computed by using convex optimization techniques. The satisfactory stochastic stability and dynamical tracking performance are both also proved. Finally, the simulation results effectively verify all of the required performances.

Integral Sliding Mode Control Approach for 3-Pole Active Magnetic Bearing System

2016 ◽  
Vol 829 ◽  
pp. 128-132 ◽  
Author(s):  
Van Van Huynh ◽  
Minh Hoang Quang Tran
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Magnetic Bearing ◽  
Active Magnetic Bearing ◽  
Sliding Surface ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
Integral Sliding Surface ◽  
Bearing System

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.

scholarly journals The Development of Anti-Windup Scheme for Time Delay Control With Switching Action Using Integral Sliding Surface

2003 ◽  
Vol 125 (4) ◽  
pp. 630-638 ◽  
Author(s):  
Sung-Uk Lee ◽  
Pyung Hun Chang
Keyword(s):  
Time Delay ◽  
Sliding Mode ◽  
Control Area ◽  
Time Delay Estimation ◽  
Sliding Surface ◽  
Time Delay Control ◽  
Delay Control ◽  
Switching Action ◽  
Integral Sliding Surface ◽  
The Stability

The Time Delay Control with Switching Action (TDCSA) method, which consists of Time Delay Control (TDC) and a switching action of sliding mode control (SMC), has been proposed as a promising technique in the robust control area where the plant has an unknown dynamics with parameter variations and substantial disturbances are preset. When TDCSA is applied to the plant with saturation nonlinearity, however, the so-called windup phenomenon is observed to arise, causing excessive overshoot and instability. The integral element of TDCSA and the saturation element of a plant cause the windup phenomenon. There are two integral effects in TDCSA. One is the integral effect caused by time delay estimation of TDC. The other is the integral term of an integral sliding surface. To solve this problem, we have proposed an anti-windup scheme method for TDCSA. The stability of the overall system has been proved for a class of nonlinear system. Experimental results show that the proposed method overcomes the windup problem of the TDCSA.

scholarly journals Anti-Disturbance Fault-Tolerant Sliding Mode Control for Systems with Unknown Faults and Disturbances

Electronics ◽  
2021 ◽  
Vol 10 (12) ◽  
pp. 1487
Author(s):  
Xiaoli Zhang ◽  
Zhengyu Zhu ◽  
Yang Yi
Keyword(s):  
Control Algorithm ◽  
Fault Tolerant ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Actuator Faults ◽  
Controlled System ◽  
Simulation Results ◽  
The Stability ◽  
Mismatched Disturbances ◽  
The Impact

In this paper, a novel control algorithm with the capacity of fault tolerance and anti-disturbance is discussed for the systems subjected to actuator faults and mismatched disturbances. The fault diagnosis observer (FDO) and the disturbance observer (DO) are successively designed to estimate the dynamics of unknown faults and disturbances. Furthermore, with the help of the observed information, a sliding surface and the corresponding sliding mode controller are proposed to compensate the actuator faults and eliminate the impact of mismatched disturbances simultaneously. Meanwhile, the convex optimization algorithm is discussed to guarantee the stability of the controlled system. The favorable anti-disturbance and fault-tolerant results can also be proved. Finally, the validity of the algorithm is certified by the simulation results for typical unmanned aerial vehicles (UAV) systems.

A Nonlinear Integral Sliding Surface to Improve the Transient Response of a Force-Controlled Pneumatic Actuator With Long Transmission Lines

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Khurram Butt ◽  
Nariman Sepehri
Keyword(s):  
Transient Response ◽  
Sliding Mode ◽  
Nonlinear Function ◽  
Pneumatic Actuator ◽  
System Response ◽  
Sliding Mode Controller ◽  
Sliding Surface ◽  
Integral Sliding Mode ◽  
Initial Errors ◽  
Integral Sliding Surface

AbstractA force-controlled pneumatic actuator with long connecting tubes is a well-accepted solution to develop magnetic resonance imaging (MRI)-compatible force control applications. Such an actuator represents an uncertain, second-order, nonlinear system with input delay. The integral sliding mode control, because of guaranteed robustness against matched uncertainties throughout the system response, provides a favorable option to design a robust controller for the actuator. However, if the controller is based on a linear integral sliding surface (LISS), the response of the actuator overshoots, especially when there are large initial errors. Minimizing overshoot results in a smaller controller bandwidth and a slower system response. This paper presents a novel nonlinear integral sliding surface (NLISS) for a sliding mode controller to improve the transient response of the actuator. The proposed surface is a LISS augmented by a nonlinear function of tracking error and does not have a reaching phase when there are initial errors and even multiple steps in the desired trajectory. The surface enables the integral sliding mode controller to offer variable damping, which changes from low to high as the transient error approaches small values and vice versa. Simulation studies and experimental results show that the controller based on the proposed sliding surface successfully eliminates the overshoot without compromising the controller bandwidth, rise, and settling times. For performance evaluation, the controller parameters are tuned using the globalized and bounded Nelder–Mead (GBNM) algorithm with deterministic restarts. The study also establishes the asymptotic stability of the controller based on the proposed sliding surface using Lyapunov's stability criterion.

scholarly journals Observer-based adaptive neural network backstepping sliding mode control for switched fractional order uncertain nonlinear systems with unmeasured states

2021 ◽  
pp. 002029402110211
Author(s):  
Tao Chen ◽  
Damin Cao ◽  
Jiaxin Yuan ◽  
Hui Yang
Keyword(s):  
Neural Network ◽  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Neural Network ◽  
Dynamic Surface ◽  
Mode Control ◽  
The Stability

This paper proposes an observer-based adaptive neural network backstepping sliding mode controller to ensure the stability of switched fractional order strict-feedback nonlinear systems in the presence of arbitrary switchings and unmeasured states. To avoid “explosion of complexity” and obtain fractional derivatives for virtual control functions continuously, the fractional order dynamic surface control (DSC) technology is introduced into the controller. An observer is used for states estimation of the fractional order systems. The sliding mode control technology is introduced to enhance robustness. The unknown nonlinear functions and uncertain disturbances are approximated by the radial basis function neural networks (RBFNNs). The stability of system is ensured by the constructed Lyapunov functions. The fractional adaptive laws are proposed to update uncertain parameters. The proposed controller can ensure convergence of the tracking error and all the states remain bounded in the closed-loop systems. Lastly, the feasibility of the proposed control method is proved by giving two examples.

Tracking control via switched Integral Sliding Mode with application to robot manipulators

2019 ◽  
Vol 90 ◽  
pp. 257-266 ◽  
Author(s):  
Antonella Ferrara ◽  
Gian Paolo Incremona ◽  
Bianca Sangiovanni
Keyword(s):  
Tracking Control ◽  
Sliding Mode ◽  
Robot Manipulators ◽  
Integral Sliding Mode
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