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 Velocity-Free Adaptive Time Delay Control of Robotic System

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Shini Chen ◽  
Xia Liu
Keyword(s):  
Time Delay ◽  
Large Time ◽  
Complex Dynamics ◽  
Time Delay Estimation ◽  
Robotic System ◽  
Time Delay Control ◽  
System A ◽  
Delay Control ◽  
Adaptive Time ◽  
The Stability

To improve the trajectory tracking performance of a complex nonlinear robotic system, a velocity-free adaptive time delay control is proposed. First, considering that conventional time delay control (TDC) may cause large time delay estimation (TDE) error under nonlinear friction, a TDC with gradient estimator is designed. Next, since it is complicated and time-consuming to adjust gains manually, an adaptive law is designed to estimate the gain of the gradient. Finally, in order to avoid the measurement of velocity and acceleration in the controller while enabling the robot to implement position tracking, an observer is designed. The proposed control can not only offset the nonlinear terms in the complex dynamics of the robotic system but also reduce the TDE error, estimate the gain of the gradient online, and avoid the measurement of velocity and acceleration. The stability of the system is analyzed via Lyapunov function. Simulations are conducted on a 2-DOF robot to verify the effectiveness of the proposed control.

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.

Stability of Uncertain Linear Systems With Time Delay

1991 ◽  
Vol 113 (4) ◽  
pp. 558-567 ◽  
Author(s):  
K. Youcef-Toumi ◽  
J. Bobbett
Keyword(s):  
Time Delay ◽  
Linear Time ◽  
Sufficient Condition ◽  
Single Input Single Output ◽  
Time Delay Control ◽  
Linear Time Invariant ◽  
Single Output ◽  
Uncertain Dynamics ◽  
Delay Control ◽  
The Stability

The control of systems with uncertain dynamics and unpredictable disturbances has raised some challenging problems. This is particularly important when high system performance is to be guaranteed at all times. Recently, Time Delay Control has been suggested as an alternative control scheme. The proposed control system does not require an explicit plant model nor does it depend on the estimation of specific plant parameters. Rather, it combines adaptation with past observations to directly estimate the effect of the plant dynamics. This paper outlines the Time Delay Control law for a class of linear dynamic systems and then presents a sufficient condition for stability of linear uncertain systems with time delay. The ideas of Nyquist and Kharitonov are used in the development of a sufficient condition, which does not resort to using approximations for time delay. Like Nyquist, the condition depends on maps of the Nyquist path and, like Kharitonov, stability depends on four functions each yielding a stable system. In this paper we combine these ideas to determine the stability of systems where the Time Delay Controller is applied to single input single output, linear time-invariant plants whose coefficients are known to vary within certain defined intervals. The development is carried out in the context of Time Delay Control but it can be applied in more general cases. Two examples will illustrate the approach and the usefulness of the technique.

scholarly journals Sliding Mode Control with a State Predictor for Time Delay Control System

2013 ◽  
pp. 268-271 ◽  
Author(s):  
T. Ishibashi ◽  
K. Kawaguchi ◽  
H. Shibasaki ◽  
R. Tanaka ◽  
T. Murakami ◽  
...  
Keyword(s):  
Control System ◽  
Time Delay ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Time Delay Control ◽  
Mode Control ◽  
Delay Control
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