The stability of sampled-data systems

1963 ◽  
Vol 51 (4) ◽  
pp. 621-622 ◽  
Author(s):  
J. Tschauner
Keyword(s):  
Data Systems ◽  
Sampled Data ◽  
The Stability

A note on the stability of a class of sampled data systems

1972 ◽  
Vol 60 (1) ◽  
pp. 133-134
Author(s):  
J. Bertrand ◽  
T. Liakakis ◽  
E.N. Protonotarios
Keyword(s):  
Data Systems ◽  
Sampled Data ◽  
The Stability

An Approach, Via Entropy, to the Stability of Random Large-Scale Sampled-Data Systems Under Structural Perturbations

1982 ◽  
Vol 104 (1) ◽  
pp. 49-57 ◽  
Author(s):  
Guy Jumarie
Keyword(s):  
Stochastic Stability ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Direct Application ◽  
Jacobian Determinant ◽  
Random Perturbations ◽  
Data Systems ◽  
Sampled Data ◽  
Large Scale Systems ◽  
The Stability

The concept of entropy in information theory is used to investigate the sensitivity and the stability of sampled-data systems in the presence of random perturbations. After a brief background on the definition, the practical meaning and the main properties of the entropy, its relations with asymptotic insensitiveness are exhibited and then some new results on the sensitivity and the stochastic stability of linear and nonlinear multivariable sampled data systems are derived. A new concept of stochastic conditional asymptotic stability is obtained which seems to be of direct application in the analysis of large-scale systems. Sufficient conditions for stability are stated. This approach provides a new look over stochastic stability. In addition, variable transformations act additively on entropy, via Jacobian determinant, and as a result the corresponding calculus is very simple.

On the Stability of a Class of Distributed, Sampled-Data Nonlinear Systems

1971 ◽  
Vol 93 (3) ◽  
pp. 142-150
Author(s):  
N. Nagarajan ◽  
H. C. Khatri
Keyword(s):  
Transfer Function ◽  
Stability Criterion ◽  
Absolute Stability ◽  
Distributed Parameter ◽  
Sufficient Condition ◽  
Data Systems ◽  
Sampled Data ◽  
Nonlinear Feedback ◽  
The Stability ◽  
Domain Stability

A frequency domain stability criterion (sufficient condition) for a class of distributed parameter, sampled-data systems containing a memoryless, nonlinear feedback element is presented. This criterion for absolute stability of the class of distributed systems considered here parallels the criterion for lumped systems obtained by Jury and Lee, and it requires that the following relationship be satisfied on the unit circle (|z| = 1). Re{W(pj,z)[1+q(z−1)]}+1K−K′|q|2|(z−1)W(pj,z)|2≥0forallj=0,1,2,…. This sufficient condition is limited to those systems whose dynamics can be described by a transfer function W(pi, z) which is the ratio of the multiple transform of the output to the multiple transform of the input. An example is given to illustrate the applications of the stability criterion.

scholarly journals H∞Controller Design for Asynchronous Multirate Sampled-Data Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Xiaoqiang Sun ◽  
Weijie Mao
Keyword(s):  
Closed System ◽  
Controller Design ◽  
Matrix Inequality ◽  
Data Systems ◽  
Sampled Data ◽  
Signal Rate ◽  
Attenuation Level ◽  
Causal Constraint ◽  
Analysis And Synthesis ◽  
The Stability

This paper considers the analysis and synthesis of a linear discrete asynchronous multirate sampled-data system. AnH∞controller based on an observer is proposed, which guarantees the stability of the closed system and makes theH∞norm of the closed system less than a given attenuation level. To improve the performance further, a tradeoff strategy is applied. That is, the exogenous signals sampled at different rates are lifted to an appropriate signal rate, while the endogenous signals are not lifted for avoiding the causal constraint and the dimension multiplied again. The controller is obtained by solving the corresponding matrix inequality, which can be calculated by Matlab. Finally, an example is presented to demonstrate the validity of these methods.

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