This paper proves that a certain class of nonconvex matrix inequalities is equivalent to linear matrix inequalities (LMIs) plus a nonconvex rank constraint. From the equivalence, this paper proposes two heuristic algorithms, that is extended linearization algorithms, to solve LMIs with a rank constraint using LMI-based approach. Reliability and efficiency of the algorithms are investigated stat...

the robustness property can be added to dsc system at the expense of reducing performance, i.e., increasing the sum-rate. the aim of designing robust dsc schemes is to trade off between system robustness and compression efficiency. in this paper, after deriving an inner bound on the rate–distortion region for the quadratic gaussian mdc based rdsc system with two encoders, the structure of the r...

This paper proposes an adaptive robust control for spatial hydraulic industrial robot, with a view of improving the performance of trajectory tracking under varying uncertainty. The mathematical models of mechanical system and electro-hydraulic driven system of spatial 6-DOF industrial robot are described, under Kane method and hydromechanics method. The backstepping design methodology is adopt...

In this study the Fuzzy Robust Principal Component Analysis (FRPCA) method is used to monitor a biological nitrogen removal process, performances of this method are then compared with classical principal component analysis. The obtained results demonstrate the performances superiority of this robust extension compared with the conventional one. In this method fuzzy variant of PCA uses fuzzy mem...

In neural network based control systems, if system environments, that is, system parameters and disturbances at training stage, are much different from those at control stage, performances of control systems may become worse. To solve this problem, robust control design is needed. In this paper, we propose a new minimax control method using Universal Learning Networks, in which the criterion fu...

Active vibration control of a smart flexible cantilever beam was studied by using mode theory and μ synthesis method. The actuator is piezoceramic patch, the sensor is strain gauge. The finite element method and experimental modal test was applied to obtain the dynamic model of the smart structure. Taking account into uncertainty of the external disturbance and measurement noise, and uncertaint...