scholarly journals Control Design of Sampled-data Uncertain Systems with Time-varying Input Delay and Parameter Perturbations

2018 ◽  
Vol 54 (10) ◽  
pp. 757-764
Author(s):  
Yasutaka HAYASHIDA ◽  
Toshiki OGUCHI
Keyword(s):  
Uncertain Systems ◽  
Control Design ◽  
Input Delay ◽  
Time Varying ◽  
Sampled Data ◽  
Parameter Perturbations

Control Design and Robustness Analysis of Linear Time-Periodic Systems

2008 ◽  
Vol 3 (4) ◽  
Author(s):  
S. Kalender ◽  
H. Flashner
Keyword(s):  
Discrete Time ◽  
Linear Time ◽  
Robustness Analysis ◽  
Control Design ◽  
Mapping Technique ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Sampled Data ◽  
Time Dynamics ◽  
Robust Stability Analysis

This paper proposes a new design approach for control of periodically time-varying systems. The approach is based on the point-mapping technique to obtain an equivalent linear time-invariant sampled-data system for the linear periodically time-varying system with a piecewise parametrization of the control vector. This allows the known control design techniques for sampled-data systems to be applied. The proposed approach is then extended for analysis of robustness of the control design with respect to plant parametric uncertainties. This is achieved by computation of approximate discrete-time dynamics of the perturbed system by truncated point-mappings. By computing an upper norm bound on the error due to the truncated approximations, the robustness analysis of the system with respect to the parametric uncertainties is then formulated as a discrete-time structured singular value problem. Two numerical examples are considered to illustrate the approach and the extension of the approach for robust stability analysis.

scholarly journals Stability Analysis of Linear Systems under Time-Varying Samplings by a Non-Standard Discretization Method

Electronics ◽  
2018 ◽  
Vol 7 (11) ◽  
pp. 278 ◽  
Author(s):  
Xiefu Jiang ◽  
Zongming Yin ◽  
Jinjing Wu
Keyword(s):  
Linear Systems ◽  
Stability Criterion ◽  
Uncertain Systems ◽  
Closed Loop ◽  
Time Varying ◽  
Discretization Method ◽  
Sampled Data ◽  
Discrete Time System ◽  
Parameter Uncertainties ◽  
The Stability

This paper is concerned with the stability of linear systems under time-varying sampling. First, the closed-loop sampled-data system under study is represented by a discrete-time system using a non-standard discretization method. Second, by introducing a new sampled-date-based integral inequality, the sufficient condition on stability is formulated by using a simple Lyapunov function. The stability criterion has lower computational complexity, while having less conservatism compared with those obtained by a classical input delay approach. Third, when the system is subject to parameter uncertainties, a robust stability criterion is derived for uncertain systems under time-varying sampling. Finally, three examples are given to show the effectiveness of the proposed method.

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