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International Journal of Control Volume 48, 1988 - Issue 5
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Original Articles

Robust hyperplane design in multivariable variable structure control systems

C. M. DORLING Topexpress Ltd, 13/14 Round Church St., Cambridge, CB5 8AD, U.K.
&
A. S. I. ZINOBER Department of Applied and Computational Mathematics, University of Sheffield, Sheffield, S10 2TN, U.K.
Pages 2043-2054 | Received 23 Oct 1987, Accepted 14 Jan 1988, Published online: 18 Jan 2007

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Ron J. Patton, Devi Putra & Supat Klinkhieo. (2010) Friction compensation as a fault-tolerant control problem. International Journal of Systems Science 41:8, pages 987-1001.
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Elbrous M. Jafarov . (2005) Robust sliding mode controllers design techniques for stabilization of multivariable time-delay systems with parameter perturbations and external disturbances. International Journal of Systems Science 36:7, pages 433-444.
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A. J. FOSSARD. (1993) Helicopter control law based on sliding mode with model following. International Journal of Control 57:5, pages 1221-1235.
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G. WALKER. (1991) Variable structure control of non-simple input systems. International Journal of Systems Science 22:12, pages 2361-2376.
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Ahmadreza Argha, Steven W. Su, Andrey Savkin & Branko G. Celler. (2018) A Novel Optimal Sliding Mode Control For Multiple Time-Delay Systems. A Novel Optimal Sliding Mode Control For Multiple Time-Delay Systems.
Branislava Draženović, Čedomir Milosavljević & Boban Veselić. 2013. Advances in Sliding Mode Control. Advances in Sliding Mode Control 1 19 .
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Halim Alwi, Christopher Edwards & Chee Pin TanHalim Alwi, Christopher Edwards & Chee Pin Tan. 2011. Fault Detection and Fault-Tolerant Control Using Sliding Modes. Fault Detection and Fault-Tolerant Control Using Sliding Modes 29 51 .
S. Klinkhieo & R.J. Patton. (2009) A Two-Level Approach to Fault-Tolerant Control of Distributed Systems based on the Sliding Mode. IFAC Proceedings Volumes 42:8, pages 1043-1048.
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Yongxu Wang, Caihong Zhang & Youxing Zhao. (2008) Designing robust sliding plane for parametric uncertain systems with time-delays. Designing robust sliding plane for parametric uncertain systems with time-delays.
Chia-Fu Lin & Wu-Chung Su. (2007) Reconstructing the sliding vector from the system output using inverse method. Reconstructing the sliding vector from the system output using inverse method.
Saeid Habibi. (2007) The Smooth Variable Structure Filter. Proceedings of the IEEE 95:5, pages 1026-1059.
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S. R. Habibi & R. Burton. (2007) Parameter Identification for a High-Performance Hydrostatic Actuation System Using the Variable Structure Filter Concept. Journal of Dynamic Systems, Measurement, and Control 129:2, pages 229-235.
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Alan S. I. Zinober, G. Liu & Yuri B. Shtessel. 2007. Mathematical Methods for Robust and Nonlinear Control. Mathematical Methods for Robust and Nonlinear Control 243 264 .
S. Laghrouche, F. Plestan & A. Glumineau. (2005) Multivariable practical higher order sliding mode control. Multivariable practical higher order sliding mode control.
W.-J. Cao & J.-X. Xu. (2004) Nonlinear Integral-Type Sliding Surface for Both Matched and Unmatched Uncertain Systems. IEEE Transactions on Automatic Control 49:8, pages 1355-1360.
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J.-L. Chang. (2003) Design of a robust controller using only output feedback to solve the servomechanism problem. IEE Proceedings - Control Theory and Applications 150:1, pages 28-36.
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. (2002) Design of Self-Repairing Suspension Systems via Variable Structure Control Scheme. Journal of Control, Automation and Systems Engineering 8:11, pages 922-927.
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Hei Ka Tam, Daniel W.C. Ho & James Lam. (2002) Robust hyperplane synthesis for sliding mode control systems via sensitivity minimization. Optimal Control Applications and Methods 23:3, pages 125-139.
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A. Bhaya & M.E.M. Meza. (2001) Zero-placement approach to the design of sliding surfaces for linear multivariable systems. IEE Proceedings - Control Theory and Applications 148:5, pages 333-339.
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Jeang-Lin CHANG. (2001) Output Regulation for MIMO Linear Systems Using Integral Variable Structure Control.. JSME International Journal Series C 44:2, pages 414-420.
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Kyung-Soo Kim, Youngjin Park & Shi-Hwan Oh. (2000) Designing robust sliding hyperplanes for parametric uncertain systems: a Riccati approach. Automatica 36:7, pages 1041-1048.
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Jeang‐Lin Chang & Yon‐Ping Chen. (2008) SLIDING VECTOR DESIGN BASED ON THE POLE‐ASSIGNMENT METHOD. Asian Journal of Control 2:1, pages 10-15.
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R. Tasaltin & E.M. Jafarov. (2000) Robust sliding-mode control for the uncertain MIMO aircraft model F-18. IEEE Transactions on Aerospace and Electronic Systems 36:4, pages 1127-1141.
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E.M. Jafarov & R. Tasaltm. (1999) Design of longitudinal variable structure flight control system for the F-18 aircraft model with parameter perturbations. Design of longitudinal variable structure flight control system for the F-18 aircraft model with parameter perturbations.
Dohyeon Kim & Youdan Kim. (1998) Robust variable structure controller design for fault tolerant flight control. Robust variable structure controller design for fault tolerant flight control.
Kyung-Soo Kim & Youngjin Park. (1998) Robust sliding hyperplane design for parametric uncertain systems by Riccati approach. Robust sliding hyperplane design for parametric uncertain systems by Riccati approach.
Wu-Chung Su, Sergey V. Drakunov & Ümit Özgüner. (1996) Constructing discontinuity surfaces for variable structure systems: A Lyapunov approach. Automatica 32:6, pages 925-928.
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Chun-Yi Su & Yury Stepanenko. (1995) Sliding Mode Control of Nonholonomic Mechanical Systems: Underactuated Manipulators Case. IFAC Proceedings Volumes 28:14, pages 565-569.
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A.Yu. Evnin. (1995) A real implementation of the robust pole assignment algorithms. A real implementation of the robust pole assignment algorithms.
David W. Pearson, Nigel C. Steele & Rudolf F. AlbrechtN. H. Moin, A. S. I. Zinober & P. J. Harley. 1995. Artificial Neural Nets and Genetic Algorithms. Artificial Neural Nets and Genetic Algorithms 452 455 .
Ajay Thukral & Mario Innocenti. (1994) Controls design challenge - A variable structure approach. Journal of Guidance, Control, and Dynamics 17:5, pages 942-949.
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Chee-Fai Yung & Shih-Duen Lin. (1994) New smooth approximation of variable structure systems with application to tracking control. New smooth approximation of variable structure systems with application to tracking control.
Wu-Chung Su, S.V. Drakunov & U. Ozguner. (1994) Constructing discontinuity planes for variable structure systems-a Lyapunov approach. Constructing discontinuity planes for variable structure systems-a Lyapunov approach.
Alan S. I. Zinober. 1994. Variable Structure and Lyapunov Control. Variable Structure and Lyapunov Control 1 22 .
A.S.I. Zinober & C.A. Woodham. (1993) Sliding Mode Control Design Techniques. IFAC Proceedings Volumes 26:2, pages 203-206.
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A.S.I. Zinober. (1993) MATLAB design of sliding mode multivariable control. MATLAB design of sliding mode multivariable control.
H. Hikita, T. Narita & M. Yamashita. (1993) Servo-type output tracking control via variable structure technique. Servo-type output tracking control via variable structure technique.
Kuo-Kai Shyu, Yao-Wen Tsai & Chee-Fai Yung. (1992) A modified variable structure controller. Automatica 28:6, pages 1209-1213.
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S.E. Rebiai, A.S.I. Zinober & S. Scala. 1992. Design Methods of Control Systems. Design Methods of Control Systems 439 444 .
C.A. Woodham & A.S.I. Zinober. 1992. Design Methods of Control Systems. Design Methods of Control Systems 329 333 .
S.E. Rebiai, A.S.I. Zinober & S. Scala. (1991) Practical Stabilizing Control of Uncertain Diffusion Systems. IFAC Proceedings Volumes 24:8, pages 439-444.
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C.A. Woodham & A.S.I. Zinober. (1991) Robust Eigenvalue Assignment Techniques for the Sliding Mode. IFAC Proceedings Volumes 24:8, pages 329-333.
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Tin-Pui Leung, Qi-Jie Zhou & Chun-Yi Su. (1991) An adaptive variable structure model following control design for robot manipulators. IEEE Transactions on Automatic Control 36:3, pages 347-353.
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B. Yao, W.B. Gao & S.P. Chan. (1990) Robust constrained motion control of multi-arm robots holding a common object. Robust constrained motion control of multi-arm robots holding a common object.
George Leitmann. 1990. System Modelling and Optimization. System Modelling and Optimization 38 55 .
A.S.I. Zinober. (1989) Deterministic control of uncertain systems. Deterministic control of uncertain systems.
A.S.I. Zinober & C.A. Woodham. (1989) Variable structure model-following control of a robot manipulator. Variable structure model-following control of a robot manipulator.
A.S.I. Zinober. 1989. Computer Aided Design in Control Systems 1988. Computer Aided Design in Control Systems 1988 391 396 .
A.S.I. Zinober. (1988) Variable Structure Model-following Control of a Robot Manipulator. IFAC Proceedings Volumes 21:8, pages 391-396.
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