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1. Optimal control processes associated with a class of discontinuous control systems: applications to sliding mode dynamics

Creator:
Azmyakov, Vadim, Basin, Michael V., and Gil García, Arturo Enrique
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
sliding mode, nonlinear systems, and absolute continuous approximations
Language:
English
Description:
This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees consistency of the resulting approximations related to the original infinite-dimensional optimization problem and leads to specific implementable algorithms.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Sliding-mode pinning control of complex networks

Creator:
Suarez, Oscar J., Vega, Carlos J., Elvira-Ceja, Santiago, Sanchez, Edgar N., and Rodriguez, David I.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
complex network, pinning control, sliding mode, backstepping, and trajectory tracking
Language:
English
Description:
In this paper, a novel approach for controlling complex networks is proposed; it applies sliding-mode pinning control for a complex network to achieve trajectory tracking. This control strategy does not require the network to have the same coupling strength on all edges; and for pinned nodes, the ones with the highest degree are selected. The illustrative example is composed of a network of 50 nodes; each node dynamics is a Chen chaotic attractor. Two cases are presented. For the first case the whole network tracks a reference for each one of the states; afterwards, the second case uses the backstepping technique to track a desired trajectory for only one state. Tracking performance and dynamical behavior of the controlled network are illustrated via simulations.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public