Results 71 to 80 of about 47,271 (274)

Trajectory Control of Manipulator Robots With Uncertainties: A Saturated Continuous Integral Sliding Mode Approach

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study addresses the trajectory tracking control for manipulator robots with uncertainties. The main objective is to ensure that the robot follows a desired trajectory despite the presence of uncertainties/disturbances and considering control input constraints. The approach is developed in the framework of continuous integral sliding modes.
Emanuel Ortiz‐Ortiz, Juan Eduardo Velázquez‐Velázquez, Ramón Silva‐Ortigoza, Rosalba Galván‐Guerra   +3 more
wiley   +1 more source

Further Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic-Quinn Conditions

, 2005
For a broad class of nonlinear systems, we construct smooth control-Lyapunov functions whose derivatives along the trajectories of the systems can be made negative definite by smooth control laws that are arbitrarily small in norm.
Malisoff, Michael, Mazenc, Frederic
core   +4 more sources

Output Feedback Design for Parameter Varying Systems Subject to Persistent Disturbances and Control Rate Constraints

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper develops a framework for designing output feedback controllers for constrained linear parameter‐varying systems that experience persistent disturbances. We specifically propose an incremental parameter‐varying output feedback control law to address control rate constraints, as well as state and control amplitude constraints.
Jackson G. Ernesto, Eugênio B. Castelan, Walter Lucia   +2 more
wiley   +1 more source

Localized behavior in the Lyapunov vectors for quasi-one-dimensional many-hard-disk systems

, 2003
We introduce a definition of a "localization width" whose logarithm is given by the entropy of the distribution of particle component amplitudes in the Lyapunov vector.
A. Pikovsky, A. Pikovsky, A.S. Pikovsky, B. Li, C. Dettmann, C. Dettmann, C.P. Dettmann, Ch. Dellago, Ch. Dellago, Ch. Dellago, F. Cecconi, G. Benettin, G. Benettin, G. Benettin, G. Boffetta, G. Casati, G. Giacomelli, Gary P. Morriss, H. Chaté, H. van Beijeren, H. van Beijeren, I. Goldhirsh, I. Shimada, J.-P. Eckmann, K. Ikeda, K. Kaneko, Lj. Milanović, M. Cencini, M. Falcioni, N. Chernov, P. Gaspard, P. Manneville, R. Livi, R. Livi, R. van Zon, S. Lepri, S. Lepri, S. McNamara, T. Konishi, T. Taniguchi, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, Y.Y. Yamaguchi, Ya.G. Sinai   +44 more
core   +1 more source

A NOTE ON AN INEQUALITY SIMILAR TO LYAPUNOV'S INEQUALITY

Demonstratio Mathematica, 1995
The author proves a number of Lyapunov inequalities for the differential equation \[ (|y'(t)|^{p-2} y'(t))'+q(t)|y(t)|^{p-2} y(t)=0, \qquad p>1, \] where \(t\in I[0,\infty)\) and \(I\) contains the points \(a,b ...
openaire   +1 more source

Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst, Fatma Yıldız Taşcıkaraoğlu, İbrahim Beklan Küçükdemiral   +2 more
wiley   +1 more source

The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
doaj   +1 more source

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Lyapunov‐Type Inequalities for the Quasilinear Difference Systems

Discrete Dynamics in Nature and Society, 2012
We establish several Lyapunov‐type inequalities for quasilinear difference systems, which generalize or improve all related existing ones. Applying these results, we also obtain some lower bounds for the first eigencurve in the generalized spectra.
Qi-Ming Zhang, X. H. Tang
openaire   +2 more sources

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source