Sliding Mode Control I

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Author Index
A B C D E F G H I
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Hybrid Sliding Mode Control For A Set Of Interconnected Nonlinear Components

Authors:

Luisa Giacomini, Behzad Bordbar, David J. Holding,

Volume: 1, Page 2180 Paper number 1149

Abstract:

The paper reports the use of sliding mode control in the design of a hybrid controller for a distributed system comprising a pair of loosely-coupled inverted pendulums. A sliding mode controller is designed to independently drive each pendulum mechanism to provide stabilization and profiled motion control. Then, to accomplish a reschedulable sequence of tasks, a supervisory system is developed using compositional methods and is modelled and analysed using controlled Petri nets. It is shown that using an appropriate coordination strategy it is possible to achieve a stability envelope for the composite system which is greater than that of the individual components.

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Stability Analysis Of A Sliding Observer Based Robust Output Tracking Control Design For A Nonlinear System

Authors:

Ibrahim Haskara, Ümit Özgüner,

Volume: 1, Page 2186 Paper number 94

Abstract:

In this paper, an observer based robust output tracking controller design is proposed for a class of nonlinear systems which are input-output linearizable. An ultimate boundedness analysis is presented for an equivalent control based sliding observer where the estimation accuracy is eventually expressed in terms of a single parameter. The observer is incorporated into the closed loop to implement an ideal tracking control law and a complete Lyapunov observer/controller synthesis is performed to prove the ultimate boundedness of the tracking error.

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Second Order Sliding Mode Control of Systems with Nonlinear Friction

Authors:

Giorgio Bartolini, Elisabetta Punta,

Volume: 1, Page 2192 Paper number 1227

Abstract:

This paper deals with the control of mechanical systems subjected to uncertainties and disturbances of various nature, including friction. The proposed solution is based on sliding-mode control theory, which has been shown to be highly effective in counteracting uncertainties and disturbances for some classes of uncertain nonlinear systems. Specific drawback presented by the classical sliding mode techniques is the chattering phenomenon. This problem is addressed in the paper by exploiting the robustness properties of second-order sliding-mode control algorithms. An algorithm of this kind, recently developed by the authors, is proved to be effective to stabilize, with arbitrarily exponentially fast transient, mechanical systems subjected to static and Coulomb friction.

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Robust Global Terminal Sliding Mode Control of SISO Nonlinear Uncertain Systems

Authors:

Shuanghe Yu, Xinghuo Yu, Zhihong Man,

Volume: 1, Page 2198 Paper number 1374

Abstract:

A global terminal sliding mode controller is proposed for higher order SISO nonlinear dynamic systems by employing the fast terminal sliding mode concept in both the reaching phase and the sliding phase. The inherent dynamical properties of the fast terminal sliding modes and the recursive mechanism for application in higher order systems are explored. A control design procedure is developed. It is shown that, by suitably choosing the parameters of the fast terminal sliding modes, the system state variables will reach the fast terminal sliding manifolds within a desired finite time, and stay in the sliding modes thereafter, resulting in the convergence to the equilibrium in a finite time which can also be prespecified. The control law designed, which is called "the global terminal sliding mode control", is nonlinear and continuous. It does not cause chattering in the reaching phase and sliding phase. The robustness analysis shows that the proposed global terminal sliding mode controller has superior robustness in system uncertainties and external disturbances. Simulation studies are presented to validate the proposed scheme.

CD001374.PDF (From Author)

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Using Lyapunov Matrices for Sliding Mode Design

Authors:

Kyung-Soo Kim, Youngjin Park,

Volume: 1, Page 2204 Paper number 1385

Abstract:

In this manuscript, a property of Lyapunov matrices is proposed and its application to sliding mode design is addressed. It will be shown that the sliding modes which guarantee the desired sliding behavior can be obtained by manipulating Lyapunov matrices associated with the full order systems. The proposed approach enables us to adopt a variety of Lyapunov- (or Riccati-) based approaches for the sliding mode design. Applications to uncertain systems, systems with uncertain state delay, pole-clustering problems, multi-objective approach and etc. are discussed.

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Nonconservative Sliding Mode Control with the Feedback Linearization for Nonlinear System

Authors:

Seung Kyu Park, Ho Kyun Ahn,

Volume: 1, Page 2210 Paper number 9086

Abstract:

An advantage of the feedback linearization technique is to make linear control theories can be used for nonlinear system. This advantage disappear when the SMC is used with the feedback linearization for uncertain nonlinear systems because the SMC can not be combined with a linear controller. In this paper, by defining a novel sliding surface, it is made possible that the feedback linearization technique, a linear controller and the SMC are used together for uncertain nonlinear system and the feedback linearization technique can have the robustness without loosing its advantage. The novel sliding surface of the SMC can have the dynamics of the nominal nonlinear system controlled by the feedback linearization technique. The noble design of the sliding surface is based on the augmented system whose dynamics have a higher order than that of the original system. The reaching phase is removed by using an initial virtual state which makes the initial sliding function equal to zero

CD009086.PDF (From Author)

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