Adaptive Variable Structure Control for Uncertain Linear Time-Invariant Delay Singular Systems

2012 ◽  
Vol 433-440 ◽  
pp. 3734-3740
Author(s):  
Bo Meng ◽  
Cun Chen Gao ◽  
Shu Hong Tang
Keyword(s):  
Control Strategy ◽  
Sliding Mode ◽  
Linear Time ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Delay Systems ◽  
Structure Control ◽  
Linear Time Invariant ◽  
Time Invariant

This paper discusses the control problems of singular linear time-invariant delay systems with uncertainties. A new adaptive variable structure control strategy is given by Lyapunov stability theory. The invariance of sliding mode is proved in the circumstances of the external disturbance and parameter perturbation with matching conditions. Through memory and memoryless of the linear state feedback, the control strategy ensure that system reaches sliding mode in finite time and the closed-loop system is global asymptotic stable. Simulation results further show that the strategy is feasible and effective.

Variable Structure Control Based Wavelet Transforms for Linear Time-Invariant Distributed Parameter Systems

2012 ◽  
Vol 482-484 ◽  
pp. 1809-1815
Author(s):  
Gui Ge Gao ◽  
Xian Wen Zeng
Keyword(s):  
Control Problem ◽  
Linear Time ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Distributed Parameter Systems ◽  
Distributed Parameter ◽  
Structure Control ◽  
Linear Time Invariant ◽  
Lumped Parameter ◽  
Time Invariant

The distributed parameter systems(DPS) are usually described by the partial differential equations(PDEs). Compared the variable structure control problem of DPS with that of the lumped parameter systems(LPS) , it is more complicated because the problem of variable structure control for DPS is often closely related to the theory of the differential operator or integral operator. Based on Haar wavelets transform, the operational matrixes and their characteristics, this paper attempts to propose a new approach for the variable structure control problem of a class linear time-invariant DPS by converting it into that of lumped parameter systems(LPS) and then makes use of the mature research methods of LPS to design the variable structure control problem so as to solve the variable structure control problem of DPS. The proposed method in this paper has the advantages of the simpler algorithm, less computation and better control effect. The simulation results also prove that it is an efficient algorithm for DPS.

scholarly journals Position Control Study on Pump-Controlled Servomotor for Steam Control Valve

Processes ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 221
Author(s):  
Guishan Yan ◽  
Zhenlin Jin ◽  
Tiangui Zhang ◽  
Penghui Zhao
Keyword(s):  
Control Strategy ◽  
Position Control ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Control Valve ◽  
Good Control ◽  
Variable Structure ◽  
Structure Control ◽  
Sliding Mode Variable Structure ◽  
Valve Control

In steam turbine control and actuation, the steam control valve plays a key role in operability and reliability. The electrohydraulic regulating system for the steam control valve, usually called the servomotor, needs to be reliable and high performing under nonlinear excitation interference in actual conditions. Currently, electrohydraulic servo valve control technology is widely used in servomotors. Although this technology has good control performance, it still has some technical defects, such as poor antipollution ability, low energy efficiency, large volume size, and limited installation space. Aiming at the abovementioned technical shortcomings of electrohydraulic servo valve control technology, a servomotor-pump-hydraulic cylinder volume control scheme is proposed in this paper, forming a pump-controlled servomotor for the steam control valve. By analyzing the working principle of the pump-controlled servomotor position control in the steam control valve, the mathematical model of a pump-controlled servomotor for the steam control valve is established. The sliding mode variable structure control strategy is proposed, and the variable structure control law is solved by constructing a switching function. To verify the performance of the proposed control method, experimental research was conducted. The research results show that the proposed sliding mode variable structure control strategy has a good control effect, which lays the theoretical and technical foundation for the engineering application and promotion of pump-controlled servomotors for steam control valves and helps the technical upgrade and product optimization of steam turbines.

Sliding Mode Variable Structure Control Design for a Kind of Nonlinear Discrete Singular Uncertain Systems with Time-Delay

2011 ◽  
Vol 383-390 ◽  
pp. 5803-5809 ◽  
Author(s):  
Yong Xu Wang ◽  
Cai Hong Zhang ◽  
Cun Che Gao
Keyword(s):  
Time Delay ◽  
Uncertain Systems ◽  
Sliding Mode ◽  
Singular Systems ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Structure Control ◽  
Discrete Singular Systems ◽  
Interval Coefficients ◽  
Sliding Mode Variable Structure

In this paper, the quasi-sliding mode variable structure control problem for interval coefficients nonlinear discrete singular uncertain systems with time-delay is researched, and it can be decomposed to two lower dimension systems with ordinary coefficients. According to some results on robust stability of discrete singular systems with time-delay, the quasi-switching manifold with difference compensator are designed, then with the quasi-sliding mode variable structure control law, the system comes to stability. At last, the feasibility and effectiveness of the results are explained by a numerical example.

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