Journal ArticleDOI
Brief paper: Adaptive stabilization of time-delay feedforward nonlinear systems
Reads0
Chats0
TLDR
This paper considers the adaptive stabilization problem for feedforward nonlinear systems with time delays with an adaptive stabilizer that takes a nested saturation feedback, and a set of switching logics is designed to tune online the saturation levels in a piecewise constant or switching manner.About:
This article is published in Automatica.The article was published on 2011-05-01. It has received 80 citations till now. The article focuses on the topics: Adaptive control & Nonlinear control.read more
Citations
More filters
Journal ArticleDOI
Global finite-time adaptive stabilization for nonlinear systems with multiple unknown control directions
Jian Wu,Weisheng Chen,Jing Li +2 more
TL;DR: This work develops a novel Lyapunov-based logic switching rule, and then the desired adaptive switching controllers are designed, where the controller parameters are to be tuned online in a switching manner according to the proposed switching logic.
Journal ArticleDOI
State feedback stabilization for stochastic feedforward nonlinear systems with time-varying delay
Liang Liu,Xue-Jun Xie +1 more
TL;DR: By introducing the homogeneous domination approach to stochastic systems, a state feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability.
Feedback Linearizability and Explicit Integrator Forwarding Controllers for Classes of Feedforward Systems - eScholarship
TL;DR: This work identifies a class of feedforward nonlinear systems that are linearizable by a coordinate change and develops explicit expressions for the Lyapunov-based integrator forwarding recursive procedure of Sepulchre, Jankovic, and Kokotovic, which has its roots in a coordinate transformation proposed by Mazenc and Praly.
Journal ArticleDOI
Global stabilization of stochastic high-order feedforward nonlinear systems with time-varying delay
Cong-Ran Zhao,Xue-Jun Xie +1 more
TL;DR: By introducing the homogeneous domination design method and constructing the appropriate Lyapunov-Krasovskii functional, a state feedback controller is constructed to drive the closed-loop system to be globally asymptotically stable in probability.
Journal ArticleDOI
Global Finite-Time Adaptive Stabilization of Nonlinearly Parametrized Systems With Multiple Unknown Control Directions
TL;DR: A novel logic switching regulation is established based on Lyapunov function method to overcome this main obstacle of the global finite-time adaptive stabilization for nonlinearly parametrized systems with multiple unknown control directions.
References
More filters
Book
Delay Effects on Stability: A Robust Control Approach
TL;DR: In this article, Liapunov's second method and LMIs are used for closed-loop stability sets and stability regions in a closed loop with discrete delays and LTIs.
Book
Delay Compensation for Nonlinear, Adaptive, and PDE Systems
TL;DR: In this paper, the authors present a model for linear delay-dependent ODEs with PDE Sensor and Actuator Dynamics, and present a linearizable class of strict-feedforward ODE systems.
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.
Journal ArticleDOI
Brief paper: Adaptive dynamic surface control of nonlinear systems with unknown dead zone in pure feedback form
Tao Zhang,Shuzhi Sam Ge +1 more
TL;DR: It is proved that the proposed design method is able to guarantee semi-global uniform ultimate boundedness of all signals in the closed-loop system, with arbitrary small tracking error by appropriately choosing design constants.
Book ChapterDOI
Control Using Logic-Based Switching
TL;DR: In this article, the authors give a brief tutorial review of four different classes of hybrid systems of this type, each consisting of a continuous-time process to be controlled, a parameterized family of candidate controllers, and an event driven switching logic.
Related Papers (5)
Global output feedback stabilization of upper-triangular nonlinear systems using a homogeneous domination approach
Chunjiang Qian,Ji Li +1 more