scholarly journals On the Continuity Properties of the Attainable Sets of Nonlinear Control Systems with Integral Constraint on Controls

2008 ◽  
Vol 2008 ◽  
pp. 1-14 ◽  
Author(s):  
Khalik G. Guseinov ◽  
Ali S. Nazlipinar
Keyword(s):  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Initial Conditions ◽  
Closed Ball ◽  
Nonlinear Control Systems ◽  
Integral Constraint ◽  
Attainable Sets ◽  
Control Functions ◽  
Continuity Properties

The attainable sets of the nonlinear control systems with integral constraint on the control functions are considered. It is assumed that the behavior of control system is described by differential equation which is nonlinear with respect to phase-state vector and control vector. The admissible control functions are chosen from the closed ball centered at the origin with radiusμ0inLp([t0,θ];ℝm) (p∈(1,+∞)). Precompactness of the solutions set is specified, and dependence of the attainable sets on the initial conditions and on the parameters of the control system is studied.

Neural Networks and Identification of Systems With Unobserved States

1993 ◽  
Vol 115 (1) ◽  
pp. 196-203 ◽  
Author(s):  
C. J. Goh ◽  
Lyle Noakes
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Output Feedback ◽  
Original System ◽  
Nonlinear Control Systems ◽  
Output Feedback Controller ◽  
Network Emulator

Consider a nonlinear control system, whose structure is not known (apart from the order of the system) and whose states are not observed. We observe the output of the system for a period of time using persistently exciting input, and use the observation to train a neural network emulator whose output approximates that of the original system. We point out that such an explicit dynamical relationship between the input and the output is useful for the purpose of construction of output feedback controller for nonlinear control systems. Specialization of the method to linear systems allows swift convergence and parameter identification in some cases.

scholarly journals Approximation of the Set of Trajectories of the Nonlinear Control System with Limited Control Resources

2018 ◽  
Vol 23 (1) ◽  
pp. 152-166
Author(s):  
Nesir Huseyin ◽  
Anar Huseyin ◽  
Khalik Guseinov
Keyword(s):  
Integral Equation ◽  
Control System ◽  
Nonlinear Control ◽  
Finite Number ◽  
Hausdorff Distance ◽  
Admissible Control ◽  
Nonlinear Control System ◽  
Integral Constraint ◽  
Control Functions ◽  
Type Integral

In this paper the control system described by a Urysohn type integral equation is studied. It is assumed that the control functions have integral constraint. Approximation of the set of trajectories generated by all admissible control functions is considered. Step by step way, the set of admissible control functions is replaced by a set consisting of a finite number of control functions which generates a finite number of trajectories. An evaluation of the Hausdorff distance between the set of trajectories of the system and the set, consisting of a finite number of trajectories is obtained.

scholarly journals Application of quasilinear and CGA models for designing significantly nonlinear control systems

2020 ◽  
Vol 224 ◽  
pp. 01015
Author(s):  
R Neydorf ◽  
A Gaiduk ◽  
N Kudinov ◽  
V Dolgov
Keyword(s):  
Control System ◽  
Nonlinear Control ◽  
Mathematical Models ◽  
Control Systems ◽  
Approximation Method ◽  
Numerical Data ◽  
Nonlinear Control Systems ◽  
Analytical Properties ◽  
Altitude Control

To create control systems, mathematical models of objects are required, which often have to be obtained experimentally. In this case, the numerical data of experiments on the identification of essentially nonlinear objects can be satisfactorily approximated only in certain areas, which leads to fragmentary models that are not analytical. In these cases, when only fragmentary models are adequate, it is proposed to apply the new Cut-Glue approximation method, which allows obtaining a model with analytical properties. The proposed approach to the unification of the Cut-Glue approximation method is demonstrated by solving the problem of synthesizing a nonlinear airship altitude control system and studying it.

A Systematic Approach for Developing Nonlinear Control Systems With Fuzzy Logic

2003 ◽  
Author(s):  
Dean B. Edwards ◽  
Joseph J. Feeley ◽  
Akira Okamoto
Keyword(s):  
Fuzzy Logic ◽  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Fuzzy Logic Control ◽  
Linear Control ◽  
Superior Performance ◽  
Nonlinear Control Systems ◽  
System A ◽  
Logic Control

In this paper we present a method for systematically developing nonlinear control systems that provide superior performance to conventional linear control systems. The approach uses the results of linear analysis as a starting point for designing and optimizing a nonlinear control system. A linear equivalent fuzzy logic control system is constructed to give the same performance as the “best” linear control system. The fuzzy logic control system is subsequently modified to improve performance by making an optimal nonlinear system. The method is illustrated by designing a nonlinear fuzzy logic control system for a headbox used for papermaking. A discrete linear quadratic regulator (DLQR) is first designed for this system. A nonlinear fuzzy logic control system is subsequently developed from the DLQR controller. The performance of these two control systems is then compared.

scholarly journals ALGORITHMS FOR SYNTHESIS OF DISCRETE CONTROLLERS IN NONLINEAR CONTROL SYSTEMS WITH DELAY

2020 ◽  
Vol 2021 (1) ◽  
pp. 80-86
Author(s):  
Alisher Mallayev ◽  
◽  
Suban Xusanov
Keyword(s):  
Phase Space ◽  
Nonlinear Control ◽  
Control Systems ◽  
Invariant Manifolds ◽  
Initial Conditions ◽  
Continuous System ◽  
Nonlinear Control Systems ◽  
Image Point ◽  
Process Control Systems ◽  
Discrete Controller

Algorithms for the synthesis of discrete controllers in nonlinear control systems, taking into account the delay, have been proposed. The synthesized vector controller provides a solution to the control problem, for example, the translation of the image point of a closed system from arbitrary initial conditions to the origin of the phase space coordinates. Built on the basis of a series-parallel set of invariant manifolds, the dynamic discrete controller ensures the fulfillment of the specified technological requirements, the asymptotic stability of a closed discrete-continuous system, and has the property of predicting the behavior of the system after sampling. These algorithms have made it possible to effectively solve the problems of synthesis of discrete controllers, taking into account the delay in process control systems.

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