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Proceedings ArticleDOI

Robust nested saturation redesign for systems with input unmodeled dynamics

TLDR
In this paper, the authors consider nonlinear systems in feed forward form and redesign nested saturation control laws to guarantee global asymptotic stability in the presence of unmodeled dynamics appearing at the system input.
Abstract
We consider nonlinear systems in feedforward form and redesign nested saturation control laws to guarantee global asymptotic stability in the presence of unmodeled dynamics appearing at the system input. Unlike most previous results, this redesign is applicable to a large class of unmodeled dynamics, including actuators that change the relative degree of the system.

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Citations
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Journal ArticleDOI

Survey Constructive nonlinear control: a historical perspective

TL;DR: This survey describes the 'activation' of stability, optimality and uncertainty concepts into design tools and constructive procedures in nonlinear control theory and concludes with four representative applications.
Journal ArticleDOI

Chattering-Free Sliding Mode Altitude Control for a Quad-Rotor Aircraft: Real-Time Application

TL;DR: The sliding mode control proposed removes the chattering phenomenon by replacing a sign function with a high-slope saturation function and the control algorithm is derived from the Lyapunov stability theorem.
Journal ArticleDOI

Global stabilization and restricted tracking with bounded feedback for multiple oscillator systems

TL;DR: A nonlinear feedback law consisting of nested saturation functions is proposed to achieve global stabilization and restricted tracking for a multiple oscillator system by bounded feedback to improve the transient performance of the closed-loop system.
Proceedings ArticleDOI

Real-time altitude robust controller for a Quad-rotor aircraft using Sliding-mode control technique

TL;DR: In this paper, a real-time robust altitude control scheme is proposed for the efficient performance of a quadrotor aircraft system, where the sensing of altitude measurement sensing is performed by a pressure sensor in order to obtain a robust altitude controlling of the vehicle in hovering mode both indoor and outdoor.
Proceedings ArticleDOI

Altitude control improvement for a Quadrotor UAV using integral action in a sliding-mode controller

TL;DR: In this article, a robust altitude control scheme is proposed for a mini-Quadrotor UAV system based on sliding mode controller with an integral action to eliminate the steady-state error induced by the boundary layer in order to achieve asymptotic convergence to the desired altitude with continuous control input.
References
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Journal ArticleDOI

Smooth stabilization implies coprime factorization

TL;DR: In this paper, it was shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
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Small-gain theorem for ISS systems and applications

TL;DR: This work addresses the problem of global asymptotic stabilization via partial-state feedback for linear systems with nonlinear, stable dynamic perturbations and for systems which have a particular disturbed recurrent structure.
Journal ArticleDOI

A nonlinear small gain theorem for the analysis of control systems with saturation

TL;DR: A nonlinear small gain theorem is presented that provides a formalism for analyzing the behavior of certain control systems that contain or utilize saturation.
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A small-gain control method for nonlinear cascaded systems with dynamic uncertainties

TL;DR: Some robust control problems for a class of nonlinear cascaded systems in the presence of state and input driven unmeasured dynamics are analyzed and a stepwise constructive control methodology is proposed on the basis of the nonlinear small-gain theorem.
Journal ArticleDOI

Stabilization in Spite of Matched Unmodeled Dynamics and an Equivalent Definition of Input-to-State Stability*

TL;DR: It is shown that, in the case of input-to-state stability (ISS)—the output is the state itself-ISS and exp—ISS are in fact equivalent properties, and it is proposed that all solutions of the perturbed system are bounded and the state of the nominal system is captured by an arbitrarily small neighborhood of the origin.