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Y.B. Shtessel

Bio: Y.B. Shtessel is an academic researcher from University of Alabama. The author has contributed to research in topics: Sliding mode control & Control theory. The author has an hindex of 15, co-authored 36 publications receiving 640 citations.

Papers
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Proceedings ArticleDOI
11 Dec 1996
TL;DR: It is shown that first order stable lag unmodeled dynamics does not imply chattering in a real sliding mode, and a sliding mode controller design algorithm was developed to avoid chattering.
Abstract: A chattering phenomenon as a low frequency oscillation in systems with sliding modes is analyzed via the describing functions technique. It is proposed to design a sliding surface to provide the passivity condition to the open loop dynamics of a modeled plant. It is shown that first order stable lag unmodeled dynamics does not imply chattering in a real sliding mode. A sliding mode controller design algorithm was developed in order to avoid chattering for the case of high order stable lag unmodeled dynamics.

63 citations

Proceedings ArticleDOI
16 Dec 1998
TL;DR: In this paper, a re-configurable sliding mode controller is designed for an F-16 jet fighter with a nonlinear flight dynamics model, which achieves a robust, high accuracy tracking performance.
Abstract: A dual time scale aircraft flight control problem is addressed via sliding mode control theory. Actuator dynamics, deflection limits and rate limits are addressed via sliding mode controller re-configuration. The designed re-configurable sliding mode controller achieves a robust, high accuracy tracking performance to mission angles (such as attack, sideslip and roll angles) in an outer loop before and after damage to an aircraft. Angular rate commands are robustly tracked in an inner loop. The developed re-configurable control strategy is based on a continuous sliding mode controller with a boundary layer re-configuration. Online explicit damage identification is not required. A re-configurable sliding mode controller is designed for an F-16 jet fighter with a nonlinear flight dynamics model. Computer simulations demonstrate high accuracy tracking performance. Actuator's deflection and deflection rate do not saturate.

50 citations

Proceedings ArticleDOI
10 Dec 2002
TL;DR: In this paper, a sliding mode control algorithm is developed to directly track a causal voltage tracking profile given by an exogenous system, and the approximate causal output non-minimum phase tracking in nonlinear boost and buck-boost power converters is addressed asymptotically via sliding mode controller using a dynamic sliding manifold (DSM).
Abstract: Nonminimum phase tracking control is studied for boost and buck-boost power converters. A sliding mode control algorithm is developed to directly track a causal voltage tracking profile given by an exogenous system. The approximate causal output nonminimum phase tracking in nonlinear boost and buck-boost power converters is addressed asymptotically via sliding mode control using a dynamic sliding manifold (DSM). Use of DSM allows the stabilization of the internal dynamics when the output tracking error tends asymptotically to zero in the sliding mode. The sliding mode controller with DSM links features of conventional sliding mode control (insensitivity to matched nonlinearities and disturbances) and a conventional dynamic compensator (accommodation to unmatched disturbances). Numerical examples demonstrate the effectiveness of the sliding mode controller.

44 citations

Proceedings ArticleDOI
09 Dec 2003
TL;DR: In this article, a two-loop guidance and flight control system was designed in the combined state space of engagement kinematics and vehicle dynamics for the interceptor's trajectory prediction.
Abstract: The enabling guidance and control technology for advanced interceptors to achieve the hit-to-kill accuracy against targets performing evasive maneuvers including spiraling motion is developed on the basis of one unified theory for the purpose of design and analysis, using high (second) order sliding mode control (HOSM). The integration of guidance and flight control systems is achieved in a two-loop guidance and flight control system designed in the combined state space of engagement kinematics and vehicle dynamics. The designed guidance-control system performance is verified via computer simulations using miniature hypervelocity kinetic energy endo-atmospheric interceptor planar model.

39 citations


Cited by
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Journal ArticleDOI

[...]

08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Journal ArticleDOI
Arie Levant1
TL;DR: In this article, the authors proposed arbitrary-order robust exact differentiators with finite-time convergence, which can be used to keep accurate a given constraint and feature theoretically-infinite-frequency switching.
Abstract: Being a motion on a discontinuity set of a dynamic system, sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. Standard sliding modes provide for finite-time convergence, precise keeping of the constraint and robustness with respect to internal and external disturbances. Yet the relative degree of the constraint has to be 1 and a dangerous chattering effect is possible. Higher-order sliding modes preserve or generalize the main properties of the standard sliding mode and remove the above restrictions. r-Sliding mode realization provides for up to the rth order of sliding precision with respect to the sampling interval compared with the first order of the standard sliding mode. Such controllers require higher-order real-time derivatives of the outputs to be available. The lacking information is achieved by means of proposed arbitrary-order robust exact differentiators with finite-time convergence. These differentiators feature optimal asymptot...

2,954 citations

Journal ArticleDOI
Arie Levant1
TL;DR: It is shown that a general uncertain single-input-single-output regulation problem is solvable only by means of discontinuous control laws, giving rise to the so-called high-order sliding modes, and homogeneity features significantly simplify the design and investigation of a new family of high- order sliding-mode controllers.

822 citations

Journal ArticleDOI
TL;DR: It has been shown that the use of SM control can lead to an improved robustness in providing consistent transient responses over a wide range of operating conditions and is compared with that of conventional linear control in terms of transient characteristics.
Abstract: This paper examines the practical design issues of sliding-mode (SM) controllers as applied to the control of dc-dc converters. A comprehensive review of the relevant literature is first provided. Major problems that prevent the use of SM control in dc-dc converters for industrial and commercial applications are investigated. Possible solutions are derived, and practical design procedures are outlined. The performance of SM control is compared with that of conventional linear control in terms of transient characteristics. It has been shown that the use of SM control can lead to an improved robustness in providing consistent transient responses over a wide range of operating conditions.

527 citations

Journal ArticleDOI
TL;DR: A systematic approach to the chattering analysis in systems with second-order sliding modes is developed, finding sufficient conditions for the existence of orbitally stable periodic motions in terms of the properties of corresponding Poincare maps.
Abstract: A systematic approach to the chattering analysis in systems with second-order sliding modes is developed. The neglected actuator dynamics is considered to be the main cause of chattering in real systems. The magnitude of oscillations in nonlinear systems with unmodeled fast nonlinear actuators driven by second-order sliding-mode control generalized suboptimal (2-SMC G-SO) algorithms is evaluated. Sufficient conditions for the existence of orbitally stable periodic motions are found in terms of the properties of corresponding Poincare maps. For linear systems driven by 2-SMC G-SO algorithms, analysis tools based on the frequency-domain methods are developed. The first of these techniques is based on the describing function method and provides for a simple approximate approach to evaluate the frequency and the amplitude of possible periodic motions. The second technique represents a modified Tsypkin's method and provides for a relatively simple, theoretically exact, approach to evaluate the periodic motion parameters. Examples of analysis and simulation results are given throughout this paper.

363 citations