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The use of sliding modes to simplify the backstepping control method

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TLDR
A simple sliding mode based controller for nonlinear systems with mismatched uncertainties with the inclusion of sliding mode filters for estimating the derivatives of the plant output is proposed.
Abstract
We propose a simple sliding mode based controller for nonlinear systems with mismatched uncertainties. The design methodology is similar to backstepping and multiple surface control method but with the inclusion of sliding mode filters for estimating the derivatives of the plant output.

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Citations
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Journal ArticleDOI

Command Filtered Backstepping

TL;DR: A filtering approach is presented that significantly simplifies the backstepped implementation, analyzes the effect of the command filtering, and derives a compensated tracking error that retains the standard stability properties of backstepping approaches.
Journal ArticleDOI

Command Filtered Adaptive Backstepping

TL;DR: This paper proposes a command filtered adaptive backstepping design method, in which analytic calculation of partial derivatives is not required and the control law and the update law become succinct.
Journal ArticleDOI

Adaptive sliding control for single-link flexible-joint robot with mismatched uncertainties

TL;DR: An adaptive sliding controller is proposed for a single-link flexible-joint robot with mismatched uncertainties and results show that the proposed control strategy gives good tracking performance with all other signals remaining bounded.
Journal ArticleDOI

Adaptive backstepping sliding mode control for linear induction motor drive

TL;DR: In this paper, an adaptive backstepping sliding mode controller was proposed to control the mover position of a linear induction motor (LIM) drive to compensate for the uncertainties including the friction force.
Journal ArticleDOI

Robust backstepping control for slew maneuver using nonlinear tracking function

TL;DR: Simulation results demonstrate that the proposed backstepping controller can achieve the slew maneuver with shorter settling time and smaller peak control torque than existing methods.
References
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Book

Sliding Modes and their Application in Variable Structure Systems

TL;DR: An electric dynamically operated storage element comprises two energy stores and circuitry is provided for applying periodically repeating phase clock pulses simultaneously to the energy stores through the charging circuits.
Journal ArticleDOI

Systematic design of adaptive controllers for feedback linearizable systems

TL;DR: A systematic procedure for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems is developed, which substantially enlarges the class of non linear systems with unknown parameters for which global stabilization can be achieved.
Proceedings ArticleDOI

Systematic Design of Adaptive Controllers for Feedback Linearizable Systems

TL;DR: In this paper, a systematic procedure is developed for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems, which are transformable into the so-called pure-feedback form.
Proceedings ArticleDOI

Sliding mode observers. Tutorial

TL;DR: In this paper, the problem of designing observers for state estimation using sliding modes is discussed and the theory and design principles for linear and nonlinear systems are presented for both types of observers, using a block-observable form similar to a lower triangular matrix form.
Proceedings ArticleDOI

Dynamic surface control of nonlinear systems

TL;DR: This paper presents the method and proves stability via a composite Lyapunov method, and it is shown that these low pass filters allow a design where the model is not differentiated, thus ending the complexity arising due to the "explosion of terms".
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