Sliding-mode observers based on equivalent control method

Drakunov, S.

doi:10.1109/cdc.1992.371368

Cited by 166 publications

(109 citation statements)

References 2 publications

Supporting

Mentioning

107

Contrasting

Unclassified

Order By: Relevance

“…Let the third derivative T (3) be bounded as | T (3) |< δT for all the time with δT a positive constant, therefore, the gain L must be such that L> δT.…”

Section: Estimation System Designmentioning

confidence: 99%

“…The main uses for those methods are the design of observer-based controllers, the synthesis of fault detection and isolation methods [1], among other applications. 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].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

“…Let the third derivative T (3) be bounded as | T (3) |< δT for all the time with δT a positive constant, therefore, the gain L must be such that L> δT.…”

Section: Estimation System Designmentioning

confidence: 99%

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

show abstract

“…Several finite time observers for system (8-9) can be found in the literature. For instance, one can cite design methods based on step-by-step sliding mode techniques (Barbot et al (1996);Drakunov (1992); Floret-Pontet and Lamnabhi-Lagarrigue (2001); Utkin (1992); Drakunov and Utkin (1995)), higher order sliding modes (Levant (1998)) or numerical issues (Diop et al (1999), Diop et al (2000)). Such observers allows for estimating the state ξ but also the last component in (8).…”

Section: State and Unknown Input Estimationmentioning

confidence: 99%

An observability form for linear systems with unknown inputs

Floquet

Barbot

2006

International Journal of Control

View full text Add to dashboard Cite

“…constraints (Açıkmeşe and Corless, 2011); sliding observers (Slotine, Hedrick, and Misawa, 1987;Drakunov, 1992); and moving-horizon estimation (Moraal and Grizzle, 1995). This list is by no means exhaustive, and in addition to general methodologies, application-specific designs proliferate throughout the literature.…”

Section: Introductionmentioning

confidence: 99%

Observers for interconnected nonlinear and linear systems

2012

View full text Add to dashboard Cite

In this paper we begin by assuming that an observer with a corresponding quadratic-type Lyapunov function has been designed for a given nonlinear system. We then consider the problem that arises when the output of that nonlinear system is not directly available; instead, it acts as an input to a second, linear system from which a partial-state measurement is in turn available. We develop an observer design methodology for the resulting cascade interconnection, based on estimating the unavailable output together with the states of the linear system. We also extend this methodology to a more general class of feedback-interconnected systems. Under a set of technical assumptions, the overall error dynamics is proven to be globally exponentially stable if the gains are chosen to satisfy an H ∞ condition. We illustrate application of the methodology by considering a navigation example based on integration of inertial and satellite measurements.

show abstract

Sliding-mode observers based on equivalent control method

Cited by 166 publications

References 2 publications

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

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

An observability form for linear systems with unknown inputs

Observers for interconnected nonlinear and linear systems

Contact Info

Product

Resources

About