Stability connection between sampled-data fuzzy control systems with quantization and their approximate discrete-time model

Automatica ◽  
2009 ◽  
Vol 45 (6) ◽  
pp. 1518-1523 ◽  
Author(s):  
Do Wan Kim ◽  
Ho Jae Lee
Keyword(s):  
Fuzzy Control ◽  
Control Systems ◽  
Discrete Time ◽  
Sampled Data ◽  
Time Model ◽  
Discrete Time Model

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.

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.

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