Stability Robustness Analysis of Linear Time-Variant Systems with Both Time-Varying Structured and Unstructured Perturbations.

Design of robust-optimal output feedback controllers for linear uncertain systems using LMI-based approach and genetic algorithm

“…. ., m}, the robust stability analysis problem of (5) becomes that of Zhou and Khargonekar [36], Weinmann [31], Gao and Antsaklis [15], Chou [7], Chen and Yang [3], Schreier et al [23], Chen [4], Chou and Chen [8,9], Yu [33], or that of Chou et al [10]. This may occur if either of the following conditions is satisfied:…”

“…Because the output feedback controller design is usually based on the nominal values of these system matrices, it is interesting to know whether the closed-loop system remains asymptotically stable in the presence of time-varying uncertain parameters. Applying such existing robust stability analysis results [36,18,31,15,7,3,23,4,8,12,33,10,25,21,1]; and references therein to solve this problem is not easy, in that, after output feedback, there will be coupled terms of parameters in the closed-loop system matrix because of the uncertain parameters in both input and output matrices [24,5]. 0020-0255/$ -see front matter Ó 2010 Elsevier Inc. All rights reserved.…”