Fast terminal sliding-mode control design for nonlinear dynamical systems

By Xinghuo Yu, Zhihong Man. 2002

909 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/fbe8cfc98b7dafb913634f0b3e06ad78d422280a

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In Control and Systems Engineering

1. Xinghuo Yu
2. Huijun Gao
3. Zhihong Man
4. Zidong Wang
5. Yong Feng
6. Chian-Song Chiu
7. Yao-yao Wang
8. Linyi Gu

Citations in the corpus

• Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control (2009, background): “2024097 control both linear and nonlinear systems with uncertainties [16], [17], and applied to control robot manipulators [15], [18], and become one of the most popular continuous sliding-mode algorithms in recent years [19], [20].”
• Adaptive finite-time tracking control of uncertain non-linear n-order systems with unmatched uncertainties (2016, background): “Fast TSM (FTSM) is an appropriate way to address this problem which can make transient convergence faster and increase the robustness property of the system [25].”
• Nonsingular fast terminal sliding‐mode control for nonlinear dynamical systems (2011, background): “Yu and Man [13, 14] have adopted a fast terminal sliding-mode (FTSM) concept, which ensures fast transient”
• Terminal Sliding Mode Control – An Overview (2021, background): “In the early 2000s, a series of theoretical breakthroughs were made, such as the nonsingular TSMC [13] to address the singularity problem in TSMC systems, the fast TSMC [14] to accelerate the convergence of the basic TSMC for higher-order SISO systems, and continuous TSMC for robot control [15].”
• Multi‐surface sliding control for fast finite‐time leader–follower consensus with high order SISO uncertain nonlinear agents (2014, background): “However, as pointed out in [42], compare with the CLF with linear dynamic equation P V .”
• Adaptive attitude tracking control for rigid spacecraft with finite-time convergence (2013, neutral): “The FTSM surface (FTSMS) s = ẋ + k1x + k2x r1 r2 (k1 > 0, k2 > 0) is proposed in Yu and Man (2002).”
• Continuous Integral Terminal Third-Order Sliding Mode Motion Control for Piezoelectric Nanopositioning System (2017, background): “In addition, fast TSMC [12] and nonsingular TSMC [13] schemes have been developed to further improve the control performance.”
• Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems (2012, methodology): “It is worthily indicated that although similar recursive structures were proposed by Yu and Man (1996, 2002) and Yu et al. (2008), the DI-TSM provides better benefits for higher relativedegree systems.”
• Finite-time stabilization of stochastic nonlinear systems in strict-feedback form (2013, methodology): “For the deterministic case, the design of finite-time global stabilizer has been discussed in Bhat and Bernstein (2000), Huang, Lin, and Yang (2005), Khoo, Xie, and Man (2009); Wu, Yu, and Man (1998), Yu and Man (2002) and Yu, Yu, Shirinzadeh, and Man (2005).”
• Finite-Time Attitude Tracking Control for Spacecraft Using Terminal Sliding Mode and Chebyshev Neural Network (2011, neutral): “Therefore, a nonsingular TSM (NTSM) control (NTSMC) was proposed in [8] in order to eliminate the singularity problem associated with the initial TSMC, and the so-called fast TSMC, which combined the advantages of the TSMC and the traditional linear hyperplane-based SMC, was proposed in [9] in order”
• Practical Tracking Control of Robot Manipulators With Continuous Fractional-Order Nonsingular Terminal Sliding Mode (2016, methodology): “Afterwards, evolved versions of TSM, such as fast TSM [16], nonsingular TSM (NTSM) [17], continuous nonsingular TSM [14], had been proposed and investigated.”
• Finite-time stability and instability of stochastic nonlinear systems (2011, neutral): “…and developed for various types of nonlinear systems over the last two decades (see, Hong, Huang, & Yu, 2001; Hong, Wang, & Cheng, 2006; Huang, Lin, & Yang, 2005; Jiang & Mareels, 1997; Moulay & Perruquetti, 2006, 2008; Wu, Yu, & Man, 1998; Yu & Man, 2002; Yu, Yu, Shirinzadeh, & Man, 2005).”
• Terminal sliding mode tracking control for a class of SISO uncertain nonlinear systems. (2013, methodology): “Considering (12), the recursive procedure for TSMC of uncertain nonlinear systems (1) is written as [19]”
• Continuous finite-time control for robotic manipulators with terminal sliding mode (2003, background): “We can easily express the so-called nonsingular TSM([12]) in the new form TSM([6-12]).”
• Sliding-Mode Control With Soft Computing: A Survey (2009, background): “In recent years, there has been some new mechanisms developed for improving SMC performance, such as the terminal sliding modes [13] in which fractional power is introduced to improve the SMC convergence speed and precision, the second-order SMC [14], [15] which has the advantage of reducing chatter”