Lessons from an example in "On the stability of discrete-time sliding mode control systems"

1999 ◽  
Vol 44 (7) ◽  
pp. 1444-1445 ◽  
Author(s):  
L.C. Westphal
Keyword(s):  
Sliding Mode Control ◽  
Control Systems ◽  
Discrete Time ◽  
Sliding Mode ◽  
Mode Control ◽  
The Stability

On the stability of discrete-time sliding mode control systems

1987 ◽  
Vol 32 (10) ◽  
pp. 930-932 ◽  
Author(s):  
S. Sarpturk ◽  
Y. Istefanopulos ◽  
O. Kaynak
Keyword(s):  
Sliding Mode Control ◽  
Control Systems ◽  
Discrete Time ◽  
Sliding Mode ◽  
Mode Control ◽  
The Stability

Discrete Sliding Mode Control Design With Invariant Sliding Sectors

2000 ◽  
Vol 122 (4) ◽  
pp. 776-782 ◽  
Author(s):  
Xinghuo Yu ◽  
Shuanghe Yu
Keyword(s):  
Sliding Mode Control ◽  
Control Systems ◽  
Discrete Time ◽  
Sliding Mode ◽  
Design Procedure ◽  
Control Design ◽  
Higher Order ◽  
Mode Control ◽  
Simulation Results ◽  
Discrete Sliding Mode Control

In this paper, a new concept of invariant sliding sector is proposed for the design of discrete time sliding mode control. A methodology is developed which ensures the existence of the invariant sliding sector and conditions to guarantee the existence of the invariant sliding sector are derived. The second-order discrete sliding mode control systems are used to inform the discussion. Simulation results are presented to demonstrate the usefulness of the concept and effectiveness of the methodology proposed. It should be noted that most of the design procedure could be extended to higher order discrete sliding mode control systems. [S0022-0434(00)02004-9]

An implicit discretization-based adaptive reaching law for discrete-time sliding mode control systems

2022 ◽  
pp. 107754632110576
Author(s):  
Cong Wang ◽  
Hongwei Xia ◽  
Shunqing Ren
Keyword(s):  
Sliding Mode Control ◽  
Control Systems ◽  
Discrete Time ◽  
Sliding Mode ◽  
Power Parameter ◽  
Reaching Law ◽  
Mode Control ◽  
Adaptive Power ◽  
High Control ◽  
Complexity Of Algorithm

In conventional reaching law approaches, the disturbance suppression is achieved at the cost of high-frequency chattering or increasing the complexity of algorithm such as adding a high-order disturbance compensator. This paper presents the design and analysis of a novel implicit discretization-based adaptive reaching law for discrete-time sliding mode control systems. First, the implicit Euler technique is introduced into the design of discrete reaching laws, and it is proved to be able to eliminate numerical chattering completely. By using a self-adaptive power term, the newly designed reaching law can obtain an arbitrarily small boundary layer of sliding surface, and at the different phases of sliding mode motion, the adaptive power parameter can automatically regulate its value to guarantee globally fast convergence without destroying the accuracy of sliding variable. Then, based on a predefined trajectory of sliding variable, the discrete-time sliding mode control law is developed to realize high control accuracy without additional design. Compared with previous methods, the main contribution of proposed reaching law lies in that it can acquire high-precision sliding mode motion and simultaneously eliminate numerical chattering in spite of complex uncertainties only by adjusting the adaptive power parameter. Finally, a simulation example on the piezomotor-driven linear stage is provided to verify the theoretical results.

Sign in / Sign up

Export Citation Format

Share Document