Journal ArticleDOI
Brief paper: Smooth second-order sliding modes: Missile guidance application
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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.About:
This article is published in Automatica.The article was published on 2007-08-01. It has received 597 citations till now. The article focuses on the topics: Missile guidance & Guidance system.read more
Citations
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Journal ArticleDOI
A novel adaptive-gain supertwisting sliding mode controller: Methodology and application
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.
Journal ArticleDOI
Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances
TL;DR: A continuous nonsingular terminal sliding mode control approach is proposed for mismatched disturbance attenuation that exhibits the fine properties of nominal performance recovery as well as chattering alleviation.
Journal ArticleDOI
Observer-based adaptive sliding mode control for nonlinear Markovian jump systems
TL;DR: An integral sliding mode surface and observer-based adaptive sliding mode controller is designed such that the MJSs are insensitive to all admissible uncertainties and satisfy the reaching condition and the stochastic stability of the closed-loop system can be guaranteed.
Journal ArticleDOI
Continuous Finite-Time Output Regulation for Disturbed Systems Under Mismatching Condition
TL;DR: Finite time stability analysis for the augmented system is presented by means of Lyapunov stability theorems, which shows that the system output is regulated to zero in finite time even in the presence of mismatched disturbances.
Proceedings ArticleDOI
Super-twisting adaptive sliding mode control: A Lyapunov design
TL;DR: The proposed Lyapunov-based approach consists in using dynamically adapted control gains that ensure the establishment, in a finite time, of a second order sliding mode.
References
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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
Finite-Time Stability of Continuous Autonomous Systems
TL;DR: It is shown that the regularity properties of the Lyapunov function and those of the settling-time function are related and converse Lyap Unov results can only assure the existence of continuous Lyap unov functions.
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
Differential equations with discontinuous right-hand sides☆
TL;DR: In this article, the existence results for differential equations with discontinuous right-hand sides with great generality are established and proved for high-order ordinary and partial differential equations for the following problem.