Robust sliding mode control for uncertain time-delay systems: an LMI approach

By Yuanqing Xia, Yingmin Jia. Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002

316 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ffada96fd50629f89b2a40f2929cfe3aac5cc94b

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In Control and Systems Engineering

1. Peng Shi
2. Fanbiao Li
3. Ligang Wu
4. James Lam
5. Guoping Liu
6. Huijun Gao
7. Yuanqing Xia
8. Chang-Hua Lien

Citations in the corpus

• Observer-based adaptive sliding mode control for nonlinear Markovian jump systems (2016, unknown): “…Davila, Fridman, & Levant, 2005; Edwards, Spurgeon, & Patton, 2000; Feng, Yu, & Man, 2002; Hu, Wang, Gao, & Stergioulas, 2012; Liu, Shi, Zhang, & Zhao, 2011; Niu & Ho, 2010; Niu, Ho, & Lam, 2005; Roh & Oh, 1999; Shtessel, Shkolnikov, & Levant, 2007; Xia & Jia, 2002; Young, Utkin, & Ozguner, 1999).”
• Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach (2007, methodology): “Hence, the stability analysis and robust control problems for time-delay systems have received considerable attention and have been one of the most interesting topics in the control theory [1,4–6,8,9,12–19].”
• LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems (2007, methodology): “Almost all the existing SMC methods including [1]‐[9], [ 15 ], [16] provide the desired motion after a sliding motion occurs.”
• Sliding mode control of switched hybrid systems with time‐varying delay (2008, background): “To mention a few, sliding mode control has been investigated for uncertain systems [18], time-delay systems [19, 20], and stochastic systems [19, 21].”
• A survey on Markovian jump systems: Modeling and design (2015, background): “In particular, SMC laws are robust with respect to the so-called matched uncertainty, see for example, [96-98].”
• On designing of sliding-mode control for stochastic jump systems (2006, background): “The salient advantages of sliding model control are: i) fast response and good transient performance; ii) its robustness against a large class of perturbations or model uncertainties; and iii) the possibility of stabilizing some complex nonlinear systems which are difficult to stabilize by continuou”