Sliding mode control: an approach to regulate nonlinear chemical processes

Camacho, Oscar; Smith, Carlos A.

doi:10.1016/s0019-0578(99)00043-9

Cited by 202 publications

(216 citation statements)

References 6 publications

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“…One of the earliest works related to nonlinear sliding surface design was presented by Sira-Ramírez (1986), who proposed to obtain a linearized equivalent representation via state feedback, where a linear sliding surface is designed in Brunovsky's canonical form. Other approaches make use of linear approximations as in the work of Camacho and Smith (2000), where nonlinear systems are approximately modelled via first order plus dead time (FOPDT). In another work, Sira-Ramírez (1991) proposed the use of the normal canonical representation for the design of DVSC for nonlinear systems, but without any indication or guideline about how the switching sliding surfaces are chosen.…”

Section: Problem 1 Consider a Nonlinear Discrete Time Systemmentioning

confidence: 99%

A Novel Method for the Design of Switching Surfaces for Discretized MIMO Nonlinear Systems

Luis-Delgado

Al‐Hadithi

Jiménez

2017

International Journal of Applied Mathematics and Computer Science

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Designing variable structure control with sliding mode (VSC-SM) control schemes needs a switching function or a sliding surface which guarantees the global stability of the closed-loop system. Despite the fact that a wide range of design approaches has been proposed for solving this mathematical problem, the number of proposed methodologies for nonlinear systems is not very extensive, especially for discrete time nonlinear MIMO systems, and most of them require some coordinate system transformation. Therefore, it is not an easy task to find a design scheme that can be applied to discrete time nonlinear MIMO systems. The proposed methodology introduces a mathematical tool: a switching surface equation for a class of MIMO nonlinear systems through an explicit equation without any coordinate transformation. This equation makes use of an implicit linearizing process via the Taylor expansion that allows the use of linear procedures for the design of switching surfaces and the forward Euler method to obtain a discrete time dynamics representation. An illustrative example is included to show the advantages of the proposed design methodology.

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Section: Problem 1 Consider a Nonlinear Discrete Time Systemmentioning

confidence: 99%

A Novel Method for the Design of Switching Surfaces for Discretized MIMO Nonlinear Systems

Luis-Delgado

Al‐Hadithi

Jiménez

2017

International Journal of Applied Mathematics and Computer Science

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“…The number of independent controller parameters increases the difficulty in tuning, e.g., there are two parameters to be tuned in [1], three parameters in [11], four parameters in [7], five parameters in [10], and six parameters in [6]. Soft computing methods were proposed in some works that require expert knowledge of both the controller and the system by the user [14,15,[17][18][19].…”

Section: Remarkmentioning

confidence: 99%

“…Among the controllers, the minimum output speed deviations were observed when using the proposed controller. Meanwhile, the transient-state performance of [11] is quite acceptable without considering output speed deviation in the steady state. …”

Section: [R(t) + (A − λ)ẏ(T) + (B + K I )Y(t) + λṙ(T) + K I R(t)]mentioning

confidence: 99%

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Chattering-eliminated adaptive sliding-mode control: an experimental comparison study

Furat¹,

Eker²

2016

Turk J Elec Eng & Comp Sci

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Abstract:The present paper deals with a new adaptive sliding-mode control. The switching and equivalent control laws include adaptive gains. An error-dependent adaptive gain in the switching control law and an adaptive parameter in the equivalent control law with respect to open-loop transient response of the system are proposed to eliminate chattering and to increase the performance of the controller. The proposed approach results in chattering elimination without using any complex calculation-based methods, which is highly useful for practical applications. The number of independent gains is also minimized. Therefore, tuning of those gains is simplified. The proposed controller is compared experimentally using an electromechanical system with five different conventional sliding-mode controllers presented in the literature.The experimental results are presented to show the effectiveness of the proposed controller particularly regarding the accuracy of control input, disturbance rejection, and being an alternative controller to use in industrial applications.

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“…SMC based on a first order plus dead time (FOPDT) model was proposed by (Camacho, 2000). In this approach, the controller has a fixed structure with a set of tuning equations using the model parameters.…”

Section: Introductionmentioning

confidence: 99%

Robust Sliding Mode Controller for Uncertain Nonlinear Systems with Fast Transient

Chinte¹,

Abu-Ayyad²,

Dubay³

2014

International Journal of Automation and Control Engineering

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This paper proposes an improved self-tuning sliding mode control for nonlinear uncertain systems. The proposed approach is based on the principle of approximating the gradient of cost-to-go using the dynamics of the sliding variable and a modified error. Validity of the proposed control design is established through Lyapunov analysis. The effectiveness of the proposed control design with fast transient response was demonstrated on a second order and 2-joint robot manipulator nonlinear systems with uncertainties. The results showed that the robustness of the method is guaranteed and the system arrived at the sliding manifold rapidly.

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Sliding mode control: an approach to regulate nonlinear chemical processes

Cited by 202 publications

References 6 publications

A Novel Method for the Design of Switching Surfaces for Discretized MIMO Nonlinear Systems

A Novel Method for the Design of Switching Surfaces for Discretized MIMO Nonlinear Systems

Chattering-eliminated adaptive sliding-mode control: an experimental comparison study

Robust Sliding Mode Controller for Uncertain Nonlinear Systems with Fast Transient

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