scholarly journals Averaging analysis for discrete time and sampled data adaptive systems

1988 ◽  
Vol 35 (2) ◽  
pp. 137-148 ◽  
Author(s):  
E.-W. Bai ◽  
L.-C. Fu ◽  
S.S. Sastry
Keyword(s):  
Discrete Time ◽  
Adaptive Systems ◽  
Sampled Data ◽  
Averaging Analysis ◽  
Data Adaptive

scholarly journals Semiglobal exponential input-to-state stability of sampled-data systems based on approximate discrete-time models

Automatica ◽  
2021 ◽  
Vol 131 ◽  
pp. 109742
Author(s):  
Alexis J. Vallarella ◽  
Paula Cardone ◽  
Hernan Haimovich
Keyword(s):  
Discrete Time ◽  
Data Systems ◽  
Sampled Data ◽  
Discrete Time Models

Discrete-Time Robust Control of Linear Periodically Time-Varying Systems

2007 ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Robust Control ◽  
Discrete Time ◽  
Robustness Analysis ◽  
Value Theory ◽  
Time Varying ◽  
Sampled Data ◽  
Point Mapping ◽  
Time Dynamic ◽  
Time Representation ◽  
Time Varying Systems

An approach for robust control of periodically time-varying systems is proposed. The approach combines the point-mapping formulation and a parameterization of the control vector to formulate an equivalent time-invariant discrete-time representation of the system. The discrete-time representation of the dynamic system allows for the application of known sampled-data control design methodologies. A perturbed, discrete-time dynamic model is formulated and plant parametric uncertainty are obtained using a truncated point-mapping algorithm. The error bounds due to point-mapping approximation are computed and a robustness analysis problem of the system due to parametric uncertainties is formulated using structured singular value theory. The proposed approach is illustrated by two design examples. Simulation studies show good performance robustness of the control system to parameter perturbations and system nonlinearities.

Sampled-Data Optimal Design and Robust Stabilization

1992 ◽  
Vol 114 (4) ◽  
pp. 538-543 ◽  
Author(s):  
Tongwen Chen ◽  
Bruce A. Francis
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Disturbance Attenuation ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Sampled Data ◽  
Design Problems ◽  
Data Control ◽  
Time Problem

This paper considers sampled-data control of time-delay systems. First we show that under a certain nonpathological sampling condition, a sampled-data system is internally stable in continuous time if and only if the corresponding discretized system is stable in discrete time. Based on this, we then study two sampled-data design problems for (unstable) time-delay systems: ℋ2-optimal disturbance attenuation and robust stabilization. In both cases, the sampled-data problem can be recast via operator methods as exactly a discrete-time problem and hence be solved using known techniques.

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