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Ilya A. Shkolnikov

Bio: Ilya A. Shkolnikov is an academic researcher from University of Alabama in Huntsville. The author has contributed to research in topics: Sliding mode control & Missile. The author has an hindex of 10, co-authored 13 publications receiving 1424 citations.

Papers
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Journal ArticleDOI
TL;DR: The smooth second-order sliding mode control-based guidance law is designed and compared with augmented proportional navigation guidance law via computer simulations of a guided missile intercepting a maneuvering ballistic target.

597 citations

Journal ArticleDOI
TL;DR: In this article, a smooth second-order sliding mode control (SSOSM) is proposed and proved for a system driven by uncertain sufficiently smooth disturbances, and the main target application of this technique, the missile interceptor guidance-control system against targets performing evasive maneuvers, is considered to demonstrate benefits of this design for a two-loop integration of guidance and flight control systems.
Abstract: A new smooth second-order sliding mode control (SSOSM) is proposed and proved for a system driven by uncertain sufficiently smooth disturbances. The main target application of this technique, the missile interceptor guidance-control system against targets performing evasive maneuvers, is considered to demonstrate benefits of this design for a two-loop integration of guidance and flight control systems. The designed guidance-control system performance is verified via computer simulations using a miniature hypervelocity kinetic energy endo-atmospheric interceptor planar model.

297 citations

Journal ArticleDOI
TL;DR: In this article, a method of smooth sliding mode control design is presented to provide for an asymptotic second-order sliding mode on the selected sliding surface in the presence of unknown disturbances and discrete-time control update.
Abstract: Presented is a method of smooth sliding mode control design to provide for an asymptotic second-order sliding mode on the selected sliding surface. The control law is a nonlinear dynamic feedback that in absence of unknown disturbances provides for an asymptotic second-order sliding mode. Application of the second-order disturbance observer in a combination with the proposed continuous control law practically gives the second-order sliding accuracy in presence of unknown disturbances and discrete-time control update. The piecewise constant control feedback is “smooth” in the sense that its derivative numerically taken at sampling rate does not contain high frequency components. A numerical example is presented.

246 citations

Journal ArticleDOI
TL;DR: The presented technique employs some linear algebraic methods and sliding mode control approach and is a complete constructive algorithm for asymptotic output tracking in a class of causal nonminimum-phase uncertain nonlinear systems.

132 citations

Journal ArticleDOI
TL;DR: In this paper, an F-16 nonlinear sixdegree-of-freedom model is considered for tracking causal reference output with a finite number of nonzero time derivatives (piecewise polynomial spline model) in the presence of unmatched disturbances of the same kind.
Abstract: The approximate causal nonminimum phase output tracking problem is considered for an F-16 nonlinear sixdegree-of-freedom modelandaddressed via sliding modecontrol.Asymptoticoutputtracking-errordynamicswith desired eigenvalue placement are provided in case of tracking causal reference output proe le with a e nite number of nonzero time derivatives (piecewise polynomial spline model ) in the presence of unmatched disturbances of the same kind. A complete constructive algorithm for tracking controller design is built for a class of uncertain nonlinear multi-input/multi-output systems with known linear unstable internal dynamics. An analysis is made of the issue that the given nonlinear aircraft model yields to the approach developed.

98 citations


Cited by
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Journal ArticleDOI
TL;DR: The super-twisting second-order sliding-mode algorithm is modified in order to design a velocity observer for uncertain mechanical systems and the finite time convergence of the observer is proved.
Abstract: The super-twisting second-order sliding-mode algorithm is modified in order to design a velocity observer for uncertain mechanical systems. The finite time convergence of the observer is proved. Thus, the observer can be designed independently of the controller. A discrete version of the observer is considered and the corresponding accuracy is estimated.

1,040 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
Arie Levant1
TL;DR: A recently developed robust exact differentiator being applied, robust output-feedback controllers with finite-time convergence are produced, capable to control any general uncertain single-input-single-output process with relative degree 2.

760 citations

Journal ArticleDOI
TL;DR: A novel super-twisting adaptive sliding mode control law is proposed for the control of an electropneumatic actuator using dynamically adapted control gains that ensure the establishment, in a finite time, of a real second order sliding mode.

648 citations

Journal ArticleDOI
Arie Levant1
TL;DR: A universal finite-time-convergent controller is developed capable to control the output of any uncertain single-input-single-output system with a known permanent relative degree r.
Abstract: A universal finite-time-convergent controller is developed capable to control the output of any uncertain single-input-single-output system with a known permanent relative degree r. The tracking error /spl sigma/ is steered to zero by means of a control dependent only on /spl sigma/, /spl sigma//spl dot/, ..., /spl sigma//sup (r-1)/ and continuous everywhere except the set /spl sigma/=/spl sigma//spl dot/=/spl middot//spl middot//spl middot/=/spl sigma//sup (r-1)/=0. A robust output-feedback controller version provides for the tracking accuracy proportional to the sampling noise magnitude.

569 citations