50 citations · 159 across the 51 of their papers we have counts for
8 papers · 1 filter
Parallel Branch and Bound Algorithm for Computing Maximal Structured Singular Value
Xinjia Chen, Kemin Zhou
In this paper, we have developed a parallel branch and bound algorithm which computes the maximal structured singular value without tightly bounding for each frequency and…
Fast Parallel Frequency Sweeping Algorithms for Robust -Stability Margin
Xinjia Chen, Kemin Zhou
This paper considers the robust -stability margin problem under polynomic structured real parametric uncertainty. Based on the work of De Gaston and Safonov (1988), we ha…
Sample Reuse Techniques of Randomized Algorithms for Control under Uncertainty
Xinjia Chen, Jorge L. Aravena, Kemin Zhou
Sample reuse techniques have significantly reduced the numerical complexity of probabilistic robustness analysis. Existing results show that for a nested collection of hyper-sphere…
Fast Universal Algorithms for Robustness Analysis
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
In this paper, we develop efficient randomized algorithms for estimating probabilistic robustness margin and constructing robustness degradation curve for uncertain dynamic systems…
Constrained Optimal Synthesis and Robustness Analysis by Randomized Algorithms
Xinjia Chen, Kemin Zhou
In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of…
Fast Construction of Robustness Degradation Function
Xinjia Chen, Kemin Zhou, Jorge L. Aravena
We develop a fast algorithm to construct the robustness degradation function, which describes quantitatively the relationship between the proportion of systems guaranteeing the rob…
Order Statistics and Probabilistic Robust Control
Xinjia Chen, Kemin Zhou
Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertai…
Risk Analysis in Robust Control -- Making the Case for Probabilistic Robust Control
Xinjia Chen, Jorge Aravena, Kemin Zhou
This paper offers a critical view of the "worst-case" approach that is the cornerstone of robust control design. It is our contention that a blind acceptance of worst-case scenario…