Discrete sliding mode control with FIR output feedback sliding surface

2012 ◽  
Author(s):  
A. A. Khandekar ◽  
G. M. Malwatkar ◽  
B. M. Patre
Keyword(s):  
Sliding Mode Control ◽  
Output Feedback ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Mode Control ◽  
Discrete Sliding Mode Control

Discrete sliding mode control with forgetting dynamic sliding surface

Mechatronics ◽  
2004 ◽  
Vol 14 (7) ◽  
pp. 737-755 ◽  
Author(s):  
Wen-Chun Yu ◽  
Gou-Jen Wang ◽  
Chun-Chin Chang
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Mode Control ◽  
Discrete Sliding Mode Control

A Variable-Gain Discrete Sliding Mode Control Strategy With PID-Type Sliding Surface for an Ultra-Precision Wafer Stage

2016 ◽  
Author(s):  
Min Li ◽  
Yu Zhu ◽  
Kaiming Yang ◽  
Chuxiong Hu ◽  
Haihua Mu
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Frequency Noise ◽  
Main Concern ◽  
Sliding Surface ◽  
External Disturbances ◽  
Variable Gain ◽  
Mode Control ◽  
Ultra Precision ◽  
Discrete Sliding Mode Control

The ultra-precision wafer stage is an important mechatronic unit in a wafer scanner for manufacturing integrated circuits while its motion control is still the main concern. To overcome the performance-limiting trade-offs of fixed-gain discrete sliding mode control (DSMC), a novel variable-gain DSMC strategy with PID-type sliding surface is proposed for an ultra-precision wafer stage. Specially, PID-type sliding surface is employed to avoid the steady-state error induced by external disturbances. Via the exponential reaching law approach, DSMC with PID-type sliding surface is synthesized. Variable-gain control methodology is newly introduced into DSMC, and the control gain varies with the trajectory phase that the wafer stage is in and the tracking error magnitude. Performance assessment on a developed wafer stage validates that with nano-scale tracking accuracy the proposed strategy not only improves the low-frequency tracking ability without the amplification of high-frequency noise, but also possesses the excellent robustness to external disturbances.

scholarly journals Sliding Mode Control with State Derivative Output Feedback in Reciprocal State Space Form

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Yuan-Wei Tseng ◽  
Yu-Ning Wang
Keyword(s):  
Sliding Mode Control ◽  
State Space ◽  
Output Feedback ◽  
Space Form ◽  
Sliding Mode ◽  
Robustness Analysis ◽  
Switching Function ◽  
Sliding Surface ◽  
System Uncertainty ◽  
Mode Control

This paper investigates the novel sliding mode control design with state derivative output feedback in nontraditional reciprocal state space (RSS) form. The concepts and the need of RSS form are comprehensively reviewed and explained. Novel switching function and approaching condition based on the derivative of sliding surface are introduced. In addition, a sufficient condition for finding the upper bound of system uncertainty to guarantee the stability in sliding surface is developed for robustness analysis. A compact sliding mode controller utilizing only state derivative related output feedback is proposed for systems with system uncertainty, matched input uncertainty, and matched external disturbance. Simulation results for a circuit system successfully verify the validities of the proposed algorithms. Our derivation is basically parallel to that for systems in standard state space form. Therefore, those who understand the concepts of sliding mode control can easily apply our method to handle more control problems without being involved in complex mathematics.

scholarly journals Dynamic output feedback sliding mode control for uncertain linear systems

2021 ◽  
pp. 014233122110507
Author(s):  
Jiehua Feng ◽  
Dongya Zhao ◽  
Xing-Gang Yan ◽  
Sarah K Spurgeon
Keyword(s):  
Sliding Mode Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Mode Control ◽  
Sliding Motion ◽  
System Output ◽  
The Stability ◽  
Uncertain Linear Systems

In this paper, a class of uncertain linear systems with unmatched disturbances is considered, where the nominal system representation is allowed to be non-minimum phase. A sliding surface is designed which is dependent on the system output, observed state, and estimated uncertain parameters. A linear coordinate transformation is introduced so that the stability analysis of the reduced-order sliding mode dynamics can be conveniently performed. A robust output feedback sliding mode control (OFSMC) is then designed to drive the considered system state to reach the sliding surface in finite time and maintain a sliding motion thereafter. A simulation example for a high incidence research model (HIRM) aircraft is used to demonstrate the effectiveness of the proposed method.

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