scholarly journals A PI2D Feedback Control Type for Second Order Systems

10.5772/10660 ◽  
2011 ◽  
Author(s):  
America Morales ◽  
Alejandro Rodriguez-Angeles
Keyword(s):  
Feedback Control ◽  
Second Order ◽  
Second Order Systems

LINEAR CONTROL IN A LATTICE OF COUPLED SECOND-ORDER OSCILLATORS

2001 ◽  
Vol 11 (01) ◽  
pp. 185-195 ◽  
Author(s):  
JOSE ALVAREZ-RAMIREZ ◽  
HECTOR PUEBLA ◽  
GILBERTO ESPINOSA
Keyword(s):  
Feedback Control ◽  
System Size ◽  
Second Order ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Local Site ◽  
Coupling Structure ◽  
Second Order Systems ◽  
External Forces ◽  
Theoretical Results

This paper presents a decentralized linear feedback control for a lattice of coupled second-order systems with external forces. A classical linear PID control is used at each local site. A sufficient condition to obtain nonlocal results on stabilization and synchronization is provided. This condition does not depend on the system size neither on the coupling structure; hence, it allows us to obtain a systematic procedure for analyzing feedback control of coupled oscillators. Some implications of our results on locomotory motion control are discussed. Numerical examples are used to illustrate the theoretical results.

scholarly journals ℋ∞ Control Tunning to Guarantee the Output Performance of LTI Second-Order Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 4611-4616
Author(s):  
Ramón I. Verdés ◽  
Luis T. Aguilar ◽  
Yury Orlov
Keyword(s):  
Second Order ◽  
Output Performance ◽  
Second Order Systems

scholarly journals Search Patterns Based on Trajectories Extracted from the Response of Second-Order Systems

2021 ◽  
Vol 11 (8) ◽  
pp. 3430
Author(s):  
Erik Cuevas ◽  
Héctor Becerra ◽  
Héctor Escobar ◽  
Alberto Luque-Chang ◽  
Marco Pérez ◽  
...  
Keyword(s):  
Convergence Rates ◽  
Optimization Problems ◽  
Search Space ◽  
Second Order ◽  
Order System ◽  
Search Patterns ◽  
Multiple Behaviors ◽  
Complex Optimization ◽  
Second Order Systems ◽  
Order Algorithm

Recently, several new metaheuristic schemes have been introduced in the literature. Although all these approaches consider very different phenomena as metaphors, the search patterns used to explore the search space are very similar. On the other hand, second-order systems are models that present different temporal behaviors depending on the value of their parameters. Such temporal behaviors can be conceived as search patterns with multiple behaviors and simple configurations. In this paper, a set of new search patterns are introduced to explore the search space efficiently. They emulate the response of a second-order system. The proposed set of search patterns have been integrated as a complete search strategy, called Second-Order Algorithm (SOA), to obtain the global solution of complex optimization problems. To analyze the performance of the proposed scheme, it has been compared in a set of representative optimization problems, including multimodal, unimodal, and hybrid benchmark formulations. Numerical results demonstrate that the proposed SOA method exhibits remarkable performance in terms of accuracy and high convergence rates.

An Asymptotical Stability in Variational Sense for Second Order Systems

2010 ◽  
Vol 10 (1) ◽  
Author(s):  
Dariusz Idczak ◽  
Stanisław Walczak
Keyword(s):  
Sobolev Space ◽  
Differential System ◽  
Sufficient Conditions ◽  
Zero Solution ◽  
Second Order ◽  
Functional Parameter ◽  
Asymptotical Stability ◽  
Parameter Control ◽  
Initial Condition ◽  
Second Order Systems

AbstractIn this paper, a new, variational concept of asymptotical stability of zero solution to an ordinary differential system of the second order, considered in Sobolev space, is presented. Sufficient conditions for an asymptotical stability in a variational sense with respect to initial condition and functional parameter (control) are given. Relation to the classical asymptotical stability is illustrated.

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