Implementation Issues of Sliding Mode Control Theory

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Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

A Sliding Mode Output Feedback Controller for an Aircraft System with Flexible Modes

Authors:

Christopher Edwards, Sarah K. Spurgeon, Ashu Akoachere,

Volume: 1, Page 1673 Paper number 3701

Abstract:

This paper considers a framework for sliding mode control design. Linear Matrix Inequality (LMI) based techniques are used to design the output dependent switching surface and to determine a control law to effect a sliding motion. The reachability condition is not required to be satisfied globally. Instead sliding is only expected to take place within a subset of the state-space referred to as the sliding patch. The LMI optimisation seeks to maximise the sliding patch subject to certain constraints. The efficacy of the proposed control design method is demonstrated on a non-trivial design example - an aircraft system representation which includes the flexible modes of the airframe.

CD003701.PDF (From Author)

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Sliding Mode Control of a Differentially Flat Vibrational Mechanical System: Experimental Results

Authors:

Josue Enríquez-Zárate, Gerardo Silva-Navarro, Hebertt Sira-Ramírez,

Volume: 1, Page 1679 Paper number 3702

Abstract:

In this paper the differential flatness property and a sliding mode controller are applied to a vibrating mechanical system in order to achieve asymptotic output tracking and disturbance attenuation. The mechanical system consists of two masses connected with springs. The output to be controlled is the position of the underactuated mass, which is directly affected by an undesirable vibration (harmonic force with variable excitation frequency). The active vibration control scheme exploits the differential flatness property during the control design, employing only position measurements and approximate time differentiation, and is dynamically able to track an off-line planned trajectory in spite of small disturbances. The overall system performance is validated by some numerical simulations and experimental results in a physical platform.

CD003702.PDF (From Author)

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Design of Variable Structure Controller: From Sliding Mode to Sliding Sector

Authors:

Yaodong Pan, Katsuhisa Furuta, Satoshi Suzuki, Shoshiro Hatakeyama,

Volume: 1, Page 1685 Paper number 3703

Abstract:

The Variable Structure Control (VSC) system has been mainly considered for continuous-time systems in the form of sliding mode. In this paper instead of sliding mode, we will design a generalized sliding sector, which is a subset around a hyperplane s(x) = 0 and bounded by two surfaces s^2(x) = (delta)^2(x), where s(x) = 0 is a sliding mode which is designed such that the reduced order system in the sliding mode is stable, (delta)(x,t) is a positive function on x and t. With the generalized sliding sector, a VS control law is designed to ensure that the state moves into the generalized sliding sector in a finite time and some Lyapunov function keeps decreasing in the state space. Therefore the proposed VS control system is quadratic stable. We take a rotational inverted pendulum apparatus to evaluate the proposed VS control algorithm. With the proposed VS control method, the control performance is satisfactory and no chattering happens because the VS control law proposed in the paper is smooth and its gain becomes smaller when the state is inside the generalized sliding sector.

CD003703.PDF (From Author)

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Second Order Sliding Mode Control For Induction Motor

Authors:

Thierry Floquet, Jean-Pierre Barbot, Wilfrid Perruquetti,

Volume: 1, Page 1691 Paper number 3704

Abstract:

In the following paper, an output feedback tracking problem is solved for the asynchronous motor. The control is a second order sliding mode one whereas the observer is a first order based one. This output feedback has been implemented on an experimental set-up dedicated to horizontal handling and the experimental results are given in this paper.

CD003704.PDF (From Author)

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Load Swing Damping in Overhead Cranes by Sliding Mode Technique

Authors:

Giorgio Bartolini, Nicola Orani, Alessandro Pisano, Elio Usai,

Volume: 1, Page 1697 Paper number 3705

Abstract:

Moving a suspended load is not an easy task when strict specifications on the swing angle and on the transfer time need to be satisfied. Nevertheless, these type of requirements are always present in industry because they are related to operation safety and cost. Intuitively, minimizing the cycle time and the load swing are conflicting requirements, and their satisfaction requires proper control actions, especially if some uncertainties in the system dynamics are present. In this paper we propose a simple control scheme based on second order sliding modes, which is proved to be effective also in the case of poor knowledge of the system dynamics and/or parameters. Such controller has been tested on a laboratory-size model of an overhead crane by means of commercial devices, and some experimental results are reported within the paper.

CD003705.PDF (From Author)

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Higher Order Sliding: Differentiation And Black-Box Control

Authors:

Arie Levant,

Volume: 1, Page 1703 Paper number 3706

Abstract:

Sliding modes describe motions on discontinuity sets of dynamic systems and are provided by a persistent system switching with theoretically infinite frequency. The standard sliding modes are applicable to control output variables with relative degree 1. Having preserved or generalized the main properties of standard sliding mode, higher order sliding modes (HOSM) may be applied with any relative degree and, when properly used, totally remove the chattering effect. That allows full real-time control of the output variables, when only the relative degree of the dynamic system is known, and the system is actually considered as a "black box". The HOSM controllers being based on the use of real-time higher-order output derivatives, robust exact differentiation becomes the key problem of the HOSM theory. Fortunately, the HOSM technique may also be applied to solve the differentiation problem. Differentiation usage in HOSM control is demonstrated by computer simulation of model and real-life examples.

CD003706.PDF (From Author)

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