A time-varying sliding surface for robust position control of a DC motor drive

Bétin, F.; Pinchon, D.; Capolino, Gérard‐André

doi:10.1109/41.993280

Cited by 93 publications

(41 citation statements)

References 10 publications

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“…Since a proper choice of the switching plane is the key part of the design of SM controllers (Betin, Pinchon, and Capolino 2002;Bartoszewicz and Nowacka 2007;Chang and Cheng 2007;Janardhanan and Kariwala 2008;Bartoszewicz 2008, 2009; Bartoszewicz and _ Zuk 2009), in this article we determine the parameters of the optimal plane by minimising a quadratic cost functional. In contrast to the typical approaches to the linear-quadratic (LQ) problem (Guo and Laub 2000;Chu, Lin, and Tan 2006;Long, Hu, and Zhang 2008), which are mainly suitable for numerical implementations and systems with predefined dimensions, we develop an analytical method for solving the nth order matrix Riccati equation and obtain the control law in a closed form.…”

Section: Introductionmentioning

confidence: 99%

LQ optimal and reaching law-based sliding modes for inventory management systems

Ignaciuk

Bartoszewicz

2012

International Journal of Systems Science

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In this article, the theory of discrete sliding-mode control is used to design new supply strategies for periodicreview inventory systems. In the considered systems, the stock used to fulfil an unknown, time-varying demand can be replenished from a single supply source or from multiple suppliers procuring orders with different delays. The proposed strategies guarantee that demand is always entirely satisfied from the on-hand stock (yielding the maximum service level), and the warehouse capacity is not exceeded (which eliminates the cost of emergency storage). In contrast to the classical, stochastic approaches, in this article, we focus on optimising the inventory system dynamics. The parameters of the first control strategy are selected by minimising a quadratic cost functional. Next, it is shown how the system dynamical performance can be improved by applying the concept of a reaching law with the appropriately adjusted reaching phase. The stable, nonoscillatory behaviour of the closed-loop system is demonstrated and the properties of the designed controllers are discussed and strictly proved.

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Section: Introductionmentioning

confidence: 99%

LQ optimal and reaching law-based sliding modes for inventory management systems

Ignaciuk

Bartoszewicz

2012

International Journal of Systems Science

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“…CAPOLINO is used to control the flux while the quadratic component of the stator current is used to control the torque of the machine. Therefore, IMs are often used in open-loop control scheme for constant speed applications [2] or in closed-loop control scheme for adjustable speed applications [3,4] while DC machines [5,6] or stepping motors [7,8] are preferred for high precision positioning tasks. Nevertheless, with the recent advances made in power electronics, data processing and control strategy, the position control of IMs can be considered as a good alternative to DC drives.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control for an induction machine submitted to large variations of mechanical configuration

Bétin

Capolino

2007

Adaptive Control & Signal

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In this paper, a variable structure control (VSC) algorithm with a time-varying switching surface is combined with an indirect field-oriented control in order to control the position of an induction machine shaft submitted to large variations of mechanical configuration such as inertia or load torque changes. The introduction of a time-varying switching surface guarantees the existence of a sliding mode since the beginning of the shaft motion without any chattering effects. Indeed, this moving switching surface allows the reaching phase elimination and the motor behaviour is insensitive to unknown mechanical configuration changes. The algorithm has been first tested in simulation and then implemented using a low-cost DSP platform combined with a numerical coprocessor. Finally, an advanced test bed is used in order to evaluate the tracking properties and the robustness capacities of the VSC law with variations of the mechanical configuration.

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“…First, the system was susceptible to parameter perturbation and external disturbances, when state trajectories are off the sliding manifold, that was during reaching phase of the system [1]. To overcome this problem, various methods have been suggested either by eliminating or minimizing the reaching phase [2,3]. The second shortcoming was high frequency chattering in control signal due to imperfection in switching between the control structures.…”

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confidence: 97%

Exponential function based fuzzy sliding mode control of uncertain nonlinear systems

Nagarale¹,

Patre²

2014

Int. J. Dynam. Control

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In this paper, exponential function based fuzzy sliding-mode control design for uncertain nonlinear systems is proposed. The fuzzy sliding mode control was successful in robust performance once the system is in sliding phase. However during reaching phase the system is vulnerable to external disturbances and perturbations. The proposed controller is designed by considering the crisp sliding surface as input, defining the output membership functions on universe of control with exponential function based gain. The rule base of the controller is designed based on sliding mode control law. The exponential function will dynamically adapts the variation of the controlled system. The designed controller will improve the performance of the system during reaching phase. The performance of the proposed controller is tested on uncertain nonlinear systems by simulation and validated by experimentation results.

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A time-varying sliding surface for robust position control of a DC motor drive

Cited by 93 publications

References 10 publications

LQ optimal and reaching law-based sliding modes for inventory management systems

LQ optimal and reaching law-based sliding modes for inventory management systems

Sliding mode control for an induction machine submitted to large variations of mechanical configuration

Exponential function based fuzzy sliding mode control of uncertain nonlinear systems

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