Some remarks on the boundedness and convergence properties of smooth sliding mode controllers

International Journal of Automation and Computing

Volumn 6, Issue 2, 2009, Pages 154-158

  Bessa, Wallace Moreira ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

Author keywords

Convergence analysis; Lyapunov methods; Nonlinear control; Sliding mode

Indexed keywords

BOUNDEDNESS; CHATTERING EFFECTS; CHATTERING PHENOMENONS; CONTROL LAWS; CONVERGENCE ANALYSIS; CONVERGENCE PROPERTIES; ILLUSTRATIVE EXAMPLES; NONLINEAR CONTROL; SLIDING MODE; SLIDING MODE CONTROLLERS; SWITCHING CONTROLS; SWITCHING SURFACES; THIN BOUNDARY LAYERS; TRACKING ERRORS;

LYAPUNOV METHODS; SLIDING MODE CONTROL;

CONTROLLERS;

EID: 65449119630     PISSN: 14768186     EISSN: 17518520     Source Type: Journal    
DOI: 10.1007/s11633-009-0154-z     Document Type: Article

References (14)

1. S. V. Emelyanov N. E. Kostyleva 1964 Design of Variable Structure Systems with Discontinuous Switching Function Engineering Cybernetics 21 1 156 160
2. A. F. Filippov 1964 Differential Equations with Discontinuous Right-hand Sides American Mathematical Society Translations 42 2 199 231
3. U. Itkis. Control Systems of Variable Structure, Wiley, New York, USA, 1976.
4. V. I. Utkin 1977 Variable Structure Systems with Sliding Modes IEEE Transactions on Automatic Control 22 2 212 222
5. J. J. E. Slotine 1984 Sliding Controller Design for Non-linear Systems International Journal of Control 40 2 421 434 (Pubitemid 14629248)
6. J. J. E. Slotine J. A. Coetsee 1986 Adaptive Sliding Controller Synthesis for Non-linear Systems International Journal of Control 43 6 1631 1651 (Pubitemid 16538941)
7. J. J. E. Slotine, W. Li. Applied Nonlinear Control, Prentice Hall, New Jersey, USA, pp. 276-291, 1991.
8. T. Sharaf-Eldin M. W. Dunnigan J. E. Fletcher B. W. Williams 1999 Nonlinear Robust Control of a Vector-controlled Synchronous Reluctance Machine IEEE Transactions on Power Electronics 14 6 1111 1121 (Pubitemid 30530816)
9. D. Q. Zhang S. K. Panda 1999 Chattering-free and Fast-response Sliding Mode Controller IEE Proceedings of Control Theory and Applications 146 2 171 177
10. C. Y. Liang J. P. Su 2003 A New Approach to the Design of a Fuzzy Sliding Mode Controller Fuzzy Sets and Systems 139 1 111 124
11. X. S. Wang C. Y. Su H. Hong 2004 Robust Adaptive Control of a Class of Nonlinear Systems with Unknow Dead-zone Automatica 40 3 407 413
12. H. M. Chen J. C. Renn J. P. Su 2005 Sliding Mode Control with Varying Boundary Layers for an Electro-hydraulic Position Servo System The International Journal of Advanced Manufacturing Technology 26 1-2 117 123
13. Q. Wang C. Y. Su 2006 Robust Adaptive Control of a Class of Nonlinear Systems Including Actuator Hysteresis with Prandt-Ishlinskii Presentations Automatica 42 5 859 867
14. T. P. Zhang Y. Yi 2007 Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems with Unknown Dead-zones Acta Automatica Sinica 33 1 96 100 (Pubitemid 46468156)