Sliding mode control in dynamic systems

Drakunov, S.; Utkin, Vadim I.

doi:10.1080/00207179208934270

Cited by 372 publications

(170 citation statements)

References 1 publication

Supporting

Mentioning

158

Contrasting

Unclassified

Order By: Relevance

“…The positive definite function ϕ(z) is chosen such that ψ(0) ≥ 0, i.e condition (20) holds. The positive constants k 1 , k 2 , k 3 , k 4 are selected straightforwardly using pole assignment technique such that, in sliding mode, z and ψ are exponentially stable and ψ(t) ≥ 0 for all t ≥ 0.…”

Section: Integral Augmented Sliding Vectormentioning

confidence: 99%

See 1 more Smart Citation

Integral sliding mode control of an extended Heisenberg system

Defoort

Floquet

Perruquetti

et al. 2009

IET Control Theory &Amp; Applications

View full text Add to dashboard Cite

Section: Integral Augmented Sliding Vectormentioning

confidence: 99%

“…Emel'yanov et al [19] generalized the common sliding mode idea to higher order sliding modes. In [20], the generalization of sliding modes is given in term of semigroups. So far, only a few researchers have investigated the design of sliding mode controllers for Heisenberg system with uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Integral sliding mode control of an extended Heisenberg system

Defoort

Floquet

Perruquetti

et al. 2009

IET Control Theory &Amp; Applications

View full text Add to dashboard Cite

“…An important class of nonlinear observers is the Sliding Mode Observers (SMO) [2][3][4], which have the main features of the Sliding Mode (SM) algorithms. Those algorithms, are proposed with the idea to drive the dynamics of a system to a sliding manifold, that is an integral manifold with finite reaching time [5], exhibiting very interesting features such as work with reduced observation error dynamics, the possibility of obtain a step by step design, robustness and insensitivity under parameter variations and external disturbances, and finite-time stability [2,6]. In addition, the last feature can be extended to uniform finite time stability [7] also known as fixed-time stability [8], allowing the controllers and estimators to converge with a settling-time independent to the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Botero¹,

Jiménez‐Rodríguez²,

Jaramillo³

et al. 2016

rev.ion

View full text Add to dashboard Cite

This paper presents an estimation structure for a continuous stirred-tank reactor, which is comprised of a sliding mode observer-based estimator coupled with a high-order sliding-mode observer. The whole scheme allows the robust estimation of the state and some parameters, specifically the concentration of the reactive mass, the heat of reaction and the global coefficient of heat transfer, by measuring the temperature inside the reactor and the temperature inside the jacket. In order to verify the results, the convergence proof of the proposed structure is done, and numerical simulations are presented with noiseless and noisy measurements, suggesting the applicability of the posed approach. ResumenEste trabajo presenta una estructura de estimación para un reactor de tanque agitado en continuo, la cual se compone de un estimador basado en observador por modos deslizantes acoplado con un observador por modos deslizantes de alto orden. Todo el esquema permite la estimación robusta del estado y algunos parámetros, concretamente la concentración de la masa reactiva, el calor de reacción y el coeficiente global de transferencia de calor, a partir de la medición de las temperaturas al interior del reactor y de la chaqueta. Para verificar los resultados, se realizan pruebas de convergencia de la estructura propuesta, y se presentan simulaciones numéricas con mediciones ruidosas y sin ruido, lo que sugiere la aplicabilidad del enfoque planteado.Palabras clave: observadores para procesos químicos, diseño de observadores robustos, algoritmos de modos deslizantes, sistemas con incertidumbre.

show abstract

“…Hence llSk 1 1 decreases monotonously and according to (6), (7), after a finite number of steps, U will belong to the admissible domain, Ilukeq 1 1 < U,, , and U = U , .…”

Section: Thenmentioning

confidence: 99%

“…This means that the inverse of the shift operator does not exist since it transforms a domain of full dimension into another domain of lower dimension. The concept of discrete-time sliding mode is introduced in terms of shift operators and semigroup conditions [7,8,9]. In this paper the concept is generalized for discrete-time implementation in infinite-dimensional systems governed by differential equations in Banach spaces.…”

Section: Introductionmentioning

confidence: 99%

Adaptive discrete-time sliding mode control of infinite-dimensional systems

Utkin¹

Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171)

View full text Add to dashboard Cite

The theory of sliding mode control has been mainly developed for finite-dimensional continuous-time systems governed by ordinary differential equations. The concept is generalized for discrete-time implementation in infinite-dimensional systems differential equations in Banach spaces. The distributed parameter identification method is developed for thermal processes along with an adaptive discrete-time control algorithm.

show abstract

Sliding mode control in dynamic systems

Cited by 372 publications

References 1 publication

Integral sliding mode control of an extended Heisenberg system

Integral sliding mode control of an extended Heisenberg system

Robust Estimation for a CSTR Using a High Order Sliding Mode Observer and an Observer-Based Estimator

Adaptive discrete-time sliding mode control of infinite-dimensional systems

Contact Info

Product

Resources

About