Robust integral sliding mode control for uncertain stochastic systems with time-varying delay

By Yugang Niu, D.W.C. Ho, James Lam. at - Automatisierungstechnik, 2005

528 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/c0d2400b3cbdc3dfc96005131e3552a131068a20

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Peng Shi
2. Zidong Wang
3. Huijun Gao
4. James Lam
5. Hongyi Li
6. Ligang Wu
7. Yurong Liu
8. Shengyuan Xu

In Control and Systems Engineering

1. Peng Shi
2. Huijun Gao
3. James Lam
4. Ligang Wu
5. Zidong Wang
6. Hongyi Li
7. Shengyuan Xu
8. Jun Hu

Citations in the corpus

• Robust Sliding Mode Control for Discrete Stochastic Systems With Mixed Time Delays, Randomly Occurring Uncertainties, and Randomly Occurring Nonlinearities (2012, methodology): “Based on the algorithm presented in [11], this constraint can be equivalently converted into tr[(B PB) B PB] = 0.”
• H ∞  sliding mode observer design for a class of nonlinear discrete time‐delay systems: A delay‐fractioning approach (2012, methodology): “Based on the algorithm presented in [3], by introducing B 1 P1D1 T B 1 P1D1 6 I with > 0 being a sufficiently small scalar, it follows from Lemma 2 that " I D 1 P1B1 I # 6 0.”
• Integral sliding mode control of a quadrotor with fractional order reaching dynamics (2011, background): “The modification by considering the integral of the error instead of the error itself makes the overall control scheme more robust against disturbances (Abidi et al., 2007; Choi, 2007; Defoort et al., 2006; Lee et al., 2001; Niua et al., 2005; RiosGastelum et al., 2003; Venkataramanan and Divan, 199”
• Event-triggered sliding mode control of stochastic systems via output feedback (2017, methodology): “In terms of SMC, discontinuous control caused by sign ( s ( t )) is a common problem in SMC, even in the SMC with delay, see the results in Niu et al. (2005), Wu et al. (2013) and Yan, Spurgeon, and Edwards (2014).”
• A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “…Liu 2002; Boukas, Liu, and Shi 2002; Fridman and Shaked 2002a; Xu, Lam, and Yang 2002; Xu, Van Dooren, Stefan, and Lam 2002; Lu, Ho, and Yeung 2003; Niu, Ho, and Lam 2005; Zhou and Li 2005; Chen, Liu, and Tong 2006; Niu and Ho 2006; Shu, Lam, and Xu 2006; Mahmoud, Shi, and Nounou 2007; Shi, Zhang,…”
• Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey (2013, methodology): “For example, the concept of SMC has been widely employed in controller design problems for uncertain systems [61, 127, 128], stochastic systems [58, 59, 65, 129], andMarkovian jump systems [65, 130].”
• Fuzzy Filter Design for ItÔ Stochastic Systems With Application to Sensor Fault Detection (2009, background): “To mention a few, the control problem is studied in [18] and [28].”
• Robust Control for a Class of Discrete Time-Delay Stochastic Systems with Randomly Occurring Nonlinearities (2014, background): “In [8], the robust integral sliding mode control problem has been studied for uncertain stochastic systems with timevarying delays, and the H ∞ performance has been analyzed in [9] for continuous-time stochastic systems with polytopic uncertainties.”
• Observer-based adaptive sliding mode control for nonlinear Markovian jump systems (2016, background): “In Niu et al. (2005), the authors developed a novel SMC approach for uncertain stochastic systems with time delay.”
• A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems (2011, background): “Hence, researchers have been paying remarkable attention to the problems of analysis and synthesis for time-delay systems (for example, [1]–[3], [13], [16], [18], [23], [27], [28], [31], [33], [35], [37]).”