Sliding Mode Control for Systems with Fast Actuators: Singularly Perturbed Approach

Fridman, Leonid

doi:10.1007/3-540-45666-x_16

Cited by 14 publications

(9 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The models collection (1) can be rewritten in the following extended model: (5) Following to the standard technique [16,Sec. 5.6], introduce new state vector defined by , where the linear nonsingular transformations are given by (6) where and represent the matrices in the form (7) Applying (7) to (1), we obtain (8) where and (9) Using the operator defined as…”

Section: Extended Model and Transformation To Regular Formmentioning

confidence: 99%

See 1 more Smart Citation

Min-max sliding-mode control for multimodel linear time varying systems

Poznyak

Shtessel

Gallegos

2003

IEEE Trans. Automat. Contr.

View full text Add to dashboard Cite

An original linear time-varying system with unmatched disturbances and uncertainties is replaced by a finite set of dynamic models such that each one describes a particular uncertain case including exact realizations of possible dynamic equations as well as external bounded disturbances. Such a tradeoff between an original uncertain linear time varying dynamic system and a corresponding higher order multimodel system with a complete knowledge leads to a linear multi-model system with known bounded disturbances. Each model from a given finite set is characterized by a quadratic performance index. The developed min-max sliding-mode control strategy gives an optimal robust sliding-surface design algorithm, which is reduced to a solution of an equivalent linear quadratic problem that corresponds to the weighted performance indices with weights from a finite dimensional simplex. An illustrative numerical example is presented. Min-max, optimality, sliding-mode control. . He conducts research in sliding-mode control with applications to reusable launch vehicle control, aircraft reconfigurable flight control systems, missile control systems, an autonomous conventional, and nuclear reactor systems of electric power supply. He published over 120 technical papers. Carlos Jiménez Gallegos was born in 1975 at San Luis Potosí, México. He received the Bc.Sc. degree in electronic engineering and the Ms.Sc. degree from the University of San Luis Potosí, México, in 1999 and 2000, respectively. He is currently working toward the D.Sci. degree in robust and min-max multimodal optimization at the same university. His research interests include robust control of nonlinear dynamical systems, optimal control, and game theory. Index Terms-

show abstract

Section: Extended Model and Transformation To Regular Formmentioning

confidence: 99%

“…Second, a control function is designed that makes the switching function attractive to the system state. For the case of matched disturbances only the optimal sliding surface design is available [14], [15], [2], [7], and [8]. In [13], a robust hyperplane computation scheme for sliding-mode control is proposed.…”

Section: Introductionmentioning

confidence: 99%

Min-max sliding-mode control for multimodel linear time varying systems

Poznyak

Shtessel

Gallegos

2003

IEEE Trans. Automat. Contr.

View full text Add to dashboard Cite

show abstract

“…Taking into account that the matrix G t C T ðÁÞCðÁÞ is Hurwitz, we can conclude that Equations (24) and (25) provide the actual values of parameters.…”

Section: We Definementioning

confidence: 98%

Robust observation and identification of nDOF Lagrangian systems

Almeida

Álvarez

2006

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

A procedure to design a global exponentially stable, second-order, sliding-mode observer for nDOF Lagrangian systems is presented. The observer converges to the system state in spite of the existence of bounded disturbances or parameter uncertainties affecting the system dynamics. The generation of sliding modes permits the identification of disturbances using the equivalent output injection which, under some circumstances, can also be used to identify the system parameters via a continuous version of the lastsquare method. The proposed methodology is illustrated with some numerical examples and experiments.

show abstract

“…The sliding mode design approach usually consists of two steps [2]. First, the switching surface is designed such that the system motion in sliding mode satisfies design specifications.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control Algorithm Design for a Class of Unmatched Uncertain System

Zhao

Zhang

et al. 2011

2011 Fourth International Symposium on Parallel Architectures, Algorithms and Programming

View full text Add to dashboard Cite

An Integral sliding mode control algorithm for a class of unmatched uncertain system is proposed in this paper. In order to make that the perturbation is minimal, the perturbation is provided into two parts by projection matrix----the matched and unmatched perturbation. It is also shown that when the minimum is attained and the resulting perturbation is not amplified. The controller design uses integral sliding mode concept and optimal control to ensure finite-time convergent in the effect of the unmatched uncertainty. The time convergence is chosen in advance. Simulation studies demonstrate that the proposed controller is robust with respect to the perturbation. An illustrative example of an aircraft control shows the applicability of the method.

show abstract

Sliding Mode Control for Systems with Fast Actuators: Singularly Perturbed Approach

Cited by 14 publications

References 13 publications

Min-max sliding-mode control for multimodel linear time varying systems

Min-max sliding-mode control for multimodel linear time varying systems

Robust observation and identification of nDOF Lagrangian systems

Sliding Mode Control Algorithm Design for a Class of Unmatched Uncertain System

Contact Info

Product

Resources

About