Journal ArticleDOI
Sliding mode control: A survey with applications in math
Alessandro Pisano,Elio Usai +1 more
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TLDR
Higher-Order Sliding Modes are presented as a tool to remove discontinuity from the control action, to deal with higher relative degree systems and to improve the accuracy of the real sliding mode behavior when the discrete time implementation is considered.About:
This article is published in Mathematics and Computers in Simulation.The article was published on 2011-01-01. It has received 197 citations till now. The article focuses on the topics: Sliding mode control & Variable structure control.read more
Citations
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Journal ArticleDOI
Variable Structure Systems With Sliding Modes in Motion Control—A Survey
TL;DR: The aim is to give implementable sliding mode design solutions for complex motion systems, actuators and supply converters by providing a frame for further study of sliding mode applications in motion control systems.
Journal ArticleDOI
Interval estimation for LPV systems applying high order sliding mode techniques
TL;DR: The problem of design of interval observers for Linear Parameter-Varying (LPV) systems, containing non-detectable or non-strongly-observable parts, is addressed and it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods.
Journal ArticleDOI
An adaptive chattering-free PID sliding mode control based on dynamic sliding manifolds for a class of uncertain nonlinear systems
TL;DR: In this article, a new dynamic PID sliding mode control technique for a class of uncertain nonlinear systems is proposed based on the Lyapunov stability theory and guarantees the existence of the sliding mode around the sliding surface in a finite time.
Journal ArticleDOI
Finite-Time Consensus With Disturbance Rejection by Discontinuous Local Interactions in Directed Graphs
TL;DR: A decentralized discontinuous interaction rule is proposed which allows to achieve consensus in a network of agents modeled by continuous-time first-order integrator dynamics affected by bounded disturbances capable of rejecting the effects of the disturbances and achieving consensus after a finite transient time.
Journal ArticleDOI
Fast terminal sliding mode controller design for nonlinear second-order systems with time-varying uncertainties
TL;DR: A novel fast terminal sliding mode control approach combined with global sliding surface structure for the robust tracking control of nonlinear second-order systems with time-varying uncertainties based on the Lyapunov stability theory is investigated.
References
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Book
Applied Nonlinear Control
TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Book
Nonlinear Control Systems
Alberto Isidori,M. Thoma,Eduardo D. Sontag,B. W. Dickinson,A. Fettweis,J. L. Massey,J. W. Modestino +6 more
TL;DR: In this paper, a systematic feedback design theory for solving the problems of asymptotic tracking and disturbance rejection for linear distributed parameter systems is presented, which is intended to support the development of flight controllers for increasing the high angle of attack or high agility capabilities of existing and future generations of aircraft.
Book
Differential Equations with Discontinuous Righthand Sides
TL;DR: The kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics, algebraic geometry interacts with physics, and such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes.
Book
Sliding Modes in Control and Optimization
TL;DR: The theory and practical application of Lyapunov's Theorem, a method for the Study of Non-linear High-Gain Systems, are studied.
Journal ArticleDOI
Variable structure systems with sliding modes
TL;DR: Design and analysis forVariable structure systems are surveyed in this paper and it is shown that advantageous properties result from changing structures according to this switching logic.