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A Special kind of Sliding Mode Control for Nonlinear System with State Constraints

Zhi Chen, Xiaowei Tu, Li Xing, Jian Fu, Lozano Rogelio
2019 IEEE Access  
This paper presents a control strategy named auxiliary surfaces sliding mode control (AS-SMC) by using Positive Invariant Set (PIS) to control a class of continuous nonlinear systems with state constraints  ...  The PIS can be regarded as a special kind of sliding surface, and its invariance ensures that the system state can satisfy the constraints in the convergence process.  ...  In this paper, we introduce an Auxiliary Surfaces Sliding Mode Control (AS-SMC) design strategy by using PIS to solve a class of continuous nonlinear system with state constraints.  ... 
doi:10.1109/access.2019.2918786 fatcat:pen5iiflv5bm7douiqi4jqqxrm

Variance-Constrained Multiobjective Control and Filtering for Nonlinear Stochastic Systems: A Survey

Lifeng Ma, Zidong Wang, Hongli Dong, Guoliang Wei
2013 Abstract and Applied Analysis  
The multiobjective control and filtering problems for nonlinear stochastic systems with variance constraints are surveyed.  ...  First, the concepts of nonlinear stochastic systems are recalled along with the introduction of some recent advances.  ...  Alexander von Humboldt Foundation of Germany.  ... 
doi:10.1155/2013/724018 fatcat:uifkq7h6gjgzvnb65kbc27kske


Leonid Fridman, Denis Efimov, Salah Laghrouche
2021 International Journal of Robust and Nonlinear Control  
Moreno in their work "High-Order Sliding-Mode Control Design Homogeneous in the Bi-limit" suggested a new Lyapunov-based design of high-order sliding-mode controllers, providing a fixed-time convergence  ...  for a class of single-input-single-output uncertain nonlinear systems. 3376  ...  Perruquetti contribute with the paper "Adaptive estimation for uncertain nonlinear systems with measurement noise: A sliding-mode observer approach," where adaptation of a nonlinear sliding mode observer  ... 
doi:10.1002/rnc.5549 fatcat:dgsjorxk2faqjktrnoafdt6o7q

Modeling, Analysis, and Advanced Control in Motion Control Systems—Part I

S. Li, L. Harnefors, M. Iwasaki
2016 IEEE transactions on industrial electronics (1982. Print)  
The first method can be regarded as a kind of feedforward control law for the general case of nonlinear joint stiffness with hysteresis.  ...  A kind of sliding discrete Fourier transform-based method is developed for frequencydomain-based online monitoring and parameter estimation of a mechanical system with varying dynamics at a selected set  ...  The first method can be regarded as a kind of feedforward control law for the general case of nonlinear joint stiffness with hysteresis.  ... 
doi:10.1109/tie.2016.2589220 fatcat:4dnw5f2i5nbwzd4xmy5eq2nn2m

Advanced Control of Complex Dynamical Systems with Applications

Xing-Gang Yan, Sarah K. Spurgeon, Qingling Zhang, Leonid Fridman
2016 Mathematical Problems in Engineering  
Increasing requirements on system performance mean that within control system analysis and design it is necessary to deal with the increasingly complex dynamical systems that are used to model reality.  ...  The complexity stems from nonlinearity, uncertainty, time delay, system singularity, stochastic effects, the presence of interconnections, and so forth. Advances in both technology  ...  Acknowledgments We sincerely thank all of the reviewers for their valuable comments and suggestions which have contributed greatly to the quality of the special issue. Xing-Gang Yan Sarah K.  ... 
doi:10.1155/2016/4389457 fatcat:o5lmzkysobbapi6reldhfffu3q

Recent Advances on Recursive Filtering and Sliding Mode Design for Networked Nonlinear Stochastic Systems: A Survey

Jun Hu, Zidong Wang, Hongli Dong, Huijun Gao
2013 Mathematical Problems in Engineering  
Some recent advances on the recursive filtering and sliding mode design problems for nonlinear stochastic systems with network-induced phenomena are surveyed.  ...  In particular, concerning the network-induced phenomena, some recent results on the recursive filtering for time-varying nonlinear stochastic systems and sliding mode design for time-invariant nonlinear  ...  These kinds of engineering problems have given rise to great challenges for the realization of multiple control objectives with respect to individual probability constraints.  ... 
doi:10.1155/2013/646059 fatcat:4wekdsk5wrf3pls5jey6akqeke

Page 1636 of Mathematical Reviews Vol. , Issue 2004b [page]

2004 Mathematical Reviews  
As for the second phase, a kind of nonlinear suboptimal control according to the system’s nominal part is integrated with the VSC mechanism with the predesigned nonlinear sliding mode.  ...  For the first phase, we propose a non- linear sliding mode design methodology incorporating optimality for a class of nonlinear MIMO systems.  ... 

Robust Adaptive Attitude Control for Airbreathing Hypersonic Vehicle with Attitude Constraints and Propulsive Disturbance

Jian Fu, Liangming Wang, Mou Chen, Sijiang Chang
2015 Mathematical Problems in Engineering  
A robust adaptive backstepping attitude control scheme, combined with invariant-set-based sliding mode control and fast-nonlinear disturbance observer, is proposed for the airbreathing hypersonic vehicle  ...  Then, an adaptive fast-nonlinear disturbance observer for the proposed sliding surface is designed to estimate this kind of disturbance.  ...  ; Pre-Research Foundation of General Equipment Department 9140C300305140C30140.  ... 
doi:10.1155/2015/293480 fatcat:64l7v7axofaulfwsyuzojjgwqu

Page 4570 of Mathematical Reviews Vol. , Issue 2002F [page]

2002 Mathematical Reviews  
Edwards, “ A new nonlinear, continuous-time contral law using sliding-mode control approaches”, in Proceedings of the Fifth International Workshop on Variable Structure Systems (Sarasota, FL, 1998), 50  ...  The last parts of the paper are devoted to new results: first, for systems with state delay, then for systems with input delay.” {For the entire collection see MR 2002d:93002.}  ... 

Stochastic Systems: Modeling, Optimization, and Applications

Shuping He, Ju H. Park, Hao Shen, Zhengguang Wu, Hongsheng Dai
2014 Mathematical Problems in Engineering  
, signal processing, robust filtering, sliding mode control, multiagent systems, nonlinear systems, time-delayed systems, neural networks, T-S fuzzy systems, simulated annealing, and fault diagnosis methods  ...  This special issue provides a forum for researchers and practitioners to publish quality research work on modeling, optimization approaches, and their applications in the context of theory analysis and  ...  Acknowledgments We would like to express our great appreciation to all the authors of this special issue for their high quality contributions.  ... 
doi:10.1155/2014/713969 fatcat:5r3xcqxccjeoln5c6tafplu63m

New advances inH∞control and filtering for nonlinear systems

Michael Basin, Peng Shi
2011 International Journal of Systems Science  
substantiation of nonlinear H ∞ approach to technical design of advanced H ∞ algorithms for special classes of nonlinear systems.  ...  methods, H ∞ stochastic control and filtering, sliding mode algorithms, and others.  ...  The third paper, "Continuous and Discrete State Reconstruction for Nonlinear Switched Systems via High-Order Sliding Mode Observers," by J. Davila, A. Pisano, and E.  ... 
doi:10.1080/00207721.2011.546989 fatcat:zcf2rp6bsjfutik2exll27ive4

Backstepping Sliding Mode Hover Control Based on Nonlinear Disturbance Observer for Spherical Robot

Xiao-hu ZHAO, Ying-bin FENG, Zhen HE, Zhi-gang LI
2018 DEStech Transactions on Engineering and Technology Research  
Aiming at the hovering control problem of spherical robot used in transformer internal detection, a Backstepping sliding mode control method based on nonlinear disturbance observer was proposed to estimate  ...  Firstly established the robot motion model, then the disturbance observer was constructed according to the system state equation, and the inverse sliding mode controller was proposed based on the Lyapunov  ...  According to the movement characteristics of spherical robot and the special application environment, based on the Backstepping and sliding mode theory to design a kind of controller applicable to the  ... 
doi:10.12783/dtetr/ecar2018/26315 fatcat:du3tz4kmfzdw5de7ttbk7tktaa

Constrained sliding mode control of nonlinear fractional order input affine systems

2019 Journal of Systems Engineering and Electronics  
The main contribution is to design a new bounded fractional order chattering free sliding mode controller in which the system states converge to the sliding surface at a determined finite time.  ...  A comparison with the integer order case is then presented and fractional order nonlinear polynomial systems are also studied as the special case.  ...  Fig. 1 shows this difference for a system with two states.  ... 
doi:10.21629/jsee.2019.05.16 fatcat:odwqky2svfdkne3isphfkergka

Advances in Disturbance/Uncertainty Estimation and Attenuation [Guest editors' introduction]

Wen-Hua Chen, Kouhei Ohnishi, Lei Guo
2015 IEEE transactions on industrial electronics (1982. Print)  
Sandra McLain for her professional support and assistance during the whole preparation of this Special Section.  ...  Carlo Cecati, Editor-in-Chief of the IEEE TRANSACTIONS IN INDUSTRIAL ELECTRONICS, for giving us the opportunity to organize this Special Section and for all the encouragement, help and support given throughout  ...  ., considers the second-order sliding mode control design for nonlienar systems with uncertainties bounded by positive functions.  ... 
doi:10.1109/tie.2015.2453347 fatcat:eyf52lhpxzhklcfdurpyn4hmje

Mathematical Control of Complex Systems

Zidong Wang, Hamid Reza Karimi, Bo Shen, Jun Hu
2013 Mathematical Problems in Engineering  
A key feature of such systems is that the nonlinear interactions among its components can lead to interesting emergent behavior.  ...  The overall aim of this special issue is to bring together the latest/innovative knowledge and advances in mathematics for handling complex systems, which may depend largely on methods from artificial  ...  Acknowledgments This special issue is a timely reflection of the research progress in the area of mathematical control of complex systems.  ... 
doi:10.1155/2013/407584 fatcat:yeijua6xwve45h63ajsmehxqmm
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