A New Class of Control Systems Based on Non-equilibrium Games

Author(s):  
Yifen Mu ◽  
Lei Guo
Author(s):  
Surendra Kumar ◽  
Syed Mohammad Abdal

Abstract This article investigates a new class of non-instantaneous impulsive measure driven control systems with infinite delay. The considered system covers a large class of the hybrid system without any restriction on their Zeno behavior. The concept of measure differential equations is more general as compared to the ordinary impulsive differential equations; consequently, the discussed results are more general than the existing ones. In particular, using the fundamental solution, Krasnoselskii’s fixed-point theorem and the theory of Lebesgue–Stieltjes integral, a new set of sufficient conditions is constructed that ensures the existence of a solution and the approximate controllability of the considered system. Lastly, an example is constructed to demonstrate the effectiveness of obtained results.


1983 ◽  
Vol 105 (3) ◽  
pp. 206-208 ◽  
Author(s):  
Chin Shung Hsu ◽  
V. R. Karanam

In this paper, recent results on the observer design of bilinear control systems (BLS) are first reviewed. Different design procedures are examined with respect to their associated observer error behavior. A new class of BLS observers which can be designed via pole-assignment algorithms is then presented.


Author(s):  
Apala Majumdar ◽  
Marchetti M. Cristina ◽  
Epifanio G. Virga

Active soft matter is a young, growing field, with potential applications to a wide variety of systems. This Theme Issue explores this emerging new field by highlighting active liquid crystals. The collected contributions bridge theory to experiment, mathematical theories of passive and active nematics, spontaneous flows to defect dynamics, microscopic to continuum levels of description, spontaneous activity to biological activation. While the perspectives offered here only span a small part of this rapidly evolving field, we trust that they might provide the interested reader with a taste for this new class of non-equilibrium systems and their rich behaviour.


2013 ◽  
Vol 13 (4) ◽  
pp. 42-53 ◽  
Author(s):  
Nina Nikolova ◽  
Emil Nikolov

Abstract : An essentially new class of repetitive fractional disturbance absorptive filters in disturbances absorbing control systems is proposed in the paper. Systematization of the standard repetitive fractional disturbance absorptive filters of this class is suggested. They use rational approximations of the operators for fractional integration in the theory of fractional calculus. The paper discusses the possibilities for repetitive absorbing of the disturbances with integer order filters and with fractional order filters. The results from the comparative analysis of their frequency characteristics are given below.


2018 ◽  
pp. 97-102
Author(s):  
V. F. Shishlakov ◽  
E. Yu. Vataeva ◽  
I. G. Krivolapchuk ◽  
N. V. Reshetnikova

The paper considers the algorithm for solving the problem of synthesis of automatic control systems (ACS) with nonlinear characteristics for polynomial approximation. As a mathematical apparatus, the inversion of the direct variational method of analysis, Galerkin generalized method, is applied to the solution of the problem. Recurrence relations are obtained that make it possible to extend this method to a new class of dynamical systems with nonlinear elements whose characteristics are approximated polynomially. The advantages and disadvantages of various methods of approximation of automatic control systems with nonlinear characteristics are analyzed. The presented algorithm of the software complex is universal and allows solving the synthesis problem for control systems of different classes and structures from unified mathematical, methodological and algorithmic positions.


2008 ◽  
Vol 61 ◽  
pp. 103-111 ◽  
Author(s):  
Fotis G. Papaspiridis ◽  
I.A. Antoniadis

Dielectric elastomer actuators (DEA) are a new class of actuators, exhibiting electric field-induced strains. Upon electrical stimulation they can provide large strains and consequently electrical forces. These abilities along with their high compliance make them candidates for active vibration control. This parer presents a general framework for the usage of DEA as elements of active vibration control systems. The electrical and mechanical model of the DEA and a basic control law, for varying the voltage, is reviewed. The basic idea is to reduce the acceleration of the vibrating equipment when the system approaches its equilibrium. The application of the actuator in a single-dof-mass-spring system is modeled. The results with and without control are presented and show the large capabilities of the actuator to suppress the vibrations induced by an external force. DEA has viscoelastic properties, which can further increase the damping capabilities of the vibration absorber but on the other hand produce a time delay, which must be taken into account. Furthermore, the technological issues arisen -structure of the actuator, power and equipment needs, effect of prestrain and frequency, distributed actuation- are discussed.


2012 ◽  
Vol 85 (2) ◽  
pp. 178-180 ◽  
Author(s):  
A. A. Tolstonogov
Keyword(s):  

1977 ◽  
Vol 99 (1) ◽  
pp. 41-47 ◽  
Author(s):  
S. Buckley ◽  
R. L. McCarthy

Thermics is a newly emerging control discipline where heat flows are modulated by temperatures. Heat is the only energy medium necessary for control, analogous to other single-medium control disciplines such as electronics, hydraulies, pneumatics or fluidics. Although initially dominated by elements based on vaporization heat tranfser of the heat pipe, a new class of planar thermic logic and control elements has been invented that relies on conduction and convection heat transfer. Three different temperature modulated thermal resistors are presented to explore the various types of modulation possible. The convection type is shown in several variations (amplifier, NOR gate, and diode) to illustrate analog, digital, and nonlinear control elements. Bond Graph models and experimental data are presented on characteristics of these prototype devices.


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