Journal ArticleDOI
Sliding order and sliding accuracy in sliding mode control
Reads0
Chats0
TLDR
It turns out that the deviation of the system from its prescribed constraints (sliding accuracy) is proportional to the switching time delay and a new class of sliding modes and algorithms is presented and the concept of sliding mode order is introduced.Abstract:
The synthesis of a control algorithm that stirs a nonlinear system to a given manifold and keeps it within this constraint is considered. Usually, what is called sliding mode is employed in such synthesis. This sliding mode is characterized, in practice, by a high-frequency switching of the control. It turns out that the deviation of the system from its prescribed constraints (sliding accuracy) is proportional to the switching time delay. A new class of sliding modes and algorithms is presented and the concept of sliding mode order is introduced. These algorithms feature a bounded control continuously depending on time, with discontinuities only in the control derivative. It is also shown that the sliding accuracy is proportional to the square of the switching time delay.read more
Citations
More filters
Journal ArticleDOI
Higher-order sliding modes, differentiation and output-feedback control
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.
Journal ArticleDOI
Robust exact differentiation via sliding mode technique
TL;DR: In this paper, an order of the maximal differentiation error to the square root of the maximum deviation of the measured input signal from the base signal from Lipschitz's constant of the derivative was proposed.
Journal ArticleDOI
Second-order sliding-mode observer for mechanical systems
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.
Journal ArticleDOI
Chattering avoidance by second-order sliding mode control
TL;DR: A new solution to the problem of chattering elimination in variable structure control (VSC) is presented, inspired by the classical bang-bang optimal control strategy, and extended to the case of nonlinear systems with uncertainties of more general types.
Journal ArticleDOI
Strict Lyapunov Functions for the Super-Twisting Algorithm
Jaime A. Moreno,Marisol Osorio +1 more
TL;DR: The proposed Lyapunov functions ascertain finite time convergence, provide an estimate of the convergence time, and ensure the robustness of the finite-time or ultimate boundedness for a class of perturbations wider than the classical ones for this algorithm.
References
More filters
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.
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.
Journal ArticleDOI
Variable structure control of nonlinear multivariable systems: a tutorial
TL;DR: In this paper, the design of variable-structure control (VSC) systems for a class of multivariable, nonlinear, time-varying systems is presented.
Book
Control systems of variable structure
TL;DR: This book is referred to read because it is an inspiring book to give you more chance to get experiences and also thoughts and this is not only this control systems of variable structure.
Journal ArticleDOI
Singular perturbations and time-scale methods in control theory: Survey 1976-1983
TL;DR: The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design.