Designing of Digital Control Systems by Dynamic Objects with Uncertain Nonlinearity

2021 ◽  
Vol 64 (4-5) ◽  
pp. 53-63
Author(s):  
Vjacheslav Lachin ◽  
◽  
Anatoly Gaiduk ◽  
Alexandr Muzhenko ◽  
◽  
...  
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Digital Control ◽  
Transfer Functions ◽  
Systems Design ◽  
State Variables ◽  
Time Model ◽  
Discrete Time Model ◽  
Digital Control Systems ◽  
Control Systems Design

This article is devoted to development of a method of the digital control systems design with not gaged state variables of the object with uncertain nonlinearity. Application of two observers to find the asymptotic es-timates of the nonlinearity and the state vector of the object is the main feature of the developed approach. The problem of designing is solved on the basis of the discrete-time model of the object with application of the con-trol on output and impacts and the standard normalized transfer functions. It allows to provide the required indicators of quality both in established, and in a transient mode. The numerical example illustrates effectiveness of the developed method. The obtained results can be used to design of digital control systems which can significantly increase effectiveness of the controlled objects as production and special assignment.

Design of Astatic Digital Systems with Application of Standard Normalized Transfer Functions

2019 ◽  
Vol 20 (1) ◽  
pp. 16-28
Author(s):  
A. R. Gaiduk
Keyword(s):  
Control Systems ◽  
High Speed ◽  
Transfer Functions ◽  
Systems Design ◽  
Continuous System ◽  
Digital Systems ◽  
Continuous Systems ◽  
Problem Solution ◽  
Digital Control Systems ◽  
Control Systems Design

Control systems with the increased astatic order provide higher accuracy and consequently their application is expedient at the solution of many control problems. In particular, it concerns to digital systems which have higher adaptability to manufacture and reliability. However the task of the digital systems design is a little bit more difficult in comparison with a similar task in a continuous case. Article is devoted to the solution of a design problem of the discrete automatic systems, which realization is carried out on the basis of a control principle on output and impacts. Standard normalized transfer functions (SNTF) are convenient means for the problem solution of the control systems design with the required direct quality indices. The method of the desirable transfer functions formation for the digital control systems on basis of the continuous systems SNTF is suggested in article. This method follows from the theorem proved in this article and consists in carrying out of the z-transformation suitable tabulated SNTF of the continuous system and some updating of the received function. The formation method of the desirable transfer functions of the digital systems with the second order astatic, constant overshot and final duration of transients is suggested in article also. The control systems with such properties of transients have the increased order; therefore microcontrollers with high speed are required for their realization. Efficiency of the suggested methods is illustrated by numerical examples.

QUEUE CONTROL UNDER TIME-VARIANT DELAYS: A DISCRETE TIME SYSTEM APPROACH

2002 ◽  
Vol 11 (02) ◽  
pp. 187-211
Author(s):  
PETER H. BAUER ◽  
MIHAIL L. SICHITIU ◽  
KAMAL PREMARATNE
Keyword(s):  
Control Systems ◽  
Communication Networks ◽  
Discrete Time ◽  
System Approach ◽  
Discrete Time System ◽  
System Delay ◽  
Time System ◽  
Time Model ◽  
Discrete Time Model ◽  
Stability Results

This paper introduces a discrete time model for time-variant delays and investigates the very nature of such delays. It is shown that a linear system-delay interface is a system theoretic necessity for the construction of composite linear systems with time-variant delays. Based on this analysis, two interfaces of particular importance are presented and used to obtain new, simple to check stability results for queue control systems. The relevance of the presented modeling and stability results on queue control systems to QoS control in modern communication networks is illustrated via several examples.

Design of Digital Control Systems by Nonlinear Uncertain Objects

2021 ◽  
Vol 64 (3) ◽  
pp. 68-74
Author(s):  
Vladimir Elsukov ◽  
◽  
Anatoly Gaiduk ◽  
Vjacheslav Lachin ◽  
Alexandr Muzhenko ◽  
...  
Keyword(s):  
Control Systems ◽  
Digital Control ◽  
Design Method ◽  
State Variables ◽  
Automatic Control Systems ◽  
Digital Devices ◽  
Digital Control Systems ◽  
And Control ◽  
Controllability And Observability ◽  
Asymptotic Observers

Minimum-phase nonlinear objects in the conditions of incomplete information about state variables and nonlinearities of the objects are considered. The design method of the digital automatic control systems in the conditions of uncertainty is offered. The decision is received with application of the asymptotic observers and control on state and impact under conditions of full controllability and observability of the controlled objects. This control provides the necessary performance of the control systems. The digital devices algorithm of digital control system is received by sampling of the found control. The efficiency of the developed method is shown on the numerical example. The developed method can be applied to design of digital control systems of production and technological objects of various assignment.

Nonlinear Control Systems Design by Transformation Method

2018 ◽  
Vol 19 (12) ◽  
pp. 755-761 ◽  
Author(s):  
A. R. Gaiduk
Keyword(s):  
Nonlinear Control ◽  
Control Systems ◽  
Systems Design ◽  
Transformation Method ◽  
Machine Building ◽  
The State ◽  
Nonlinear Control Systems ◽  
State Variables ◽  
Control Systems Design ◽  
Analytical Approaches

The analytical approaches to design of nonlinear control systems by the transformation of the nonlinear plant equations into quasilinear forms or into Jordan controlled form are considered. Shortly definitions of these forms and the mathematical expressions necessary for design of the control systems by these methods are submitted. These approaches can be applied if the plant’s nonlinearities are differentiable, the plant is controllable and the additional conditions are satisfied. Procedure of a control system design, i.e. definition of the equations of the control device, in both cases is completely analytical. Desirable quality of transients is provided with that, that corresponding values are given to roots of the characteristic equations of some matrixes by calculation of the nonlinear control. The proposed methods provide asymptotical stability of the equilibrium in a bounded domain of the state space or its global stability and also desirable performance of transients. Performance of the nonlinear plants equations in the quasilinear form has no any complexities, if the mentioned above conditions are satisfied. The transformation of these equations to the Jordan controlled form very much often is reduced to change of the state variables designations of the plants. The suggested methods can be applied to design of control systems by various nonlinear technical plants ship-building, machine-building, aviation, agricultural and many other manufactures. Examples of the control systems design by the proposed analytical methods are given.

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