Stability analysis of networked control systems subject to packet-dropouts and finite-level quantization

This paper is concerned with the stability analysis of a networked control system, wherein communication from the controller to the plant input is through a digital channel subject to packet-dropouts and finite-level quantization. No acknowledgments of receipt are available to the controller. To alleviate the effect of packet-dropouts, the controller transmits tentative plant input sequences. Within this setup, we derive a sufficient condition for small ?^∞ signal ?^∞ stability of the networked control system. This condition requires the maximum number of consecutive packet-dropouts to be bounded. We also elucidate the trade-off which exists between the disturbance attenuation and the step size of the quantizer and the maximum number of consecutive packet-dropouts.     

Identification of piecewise affine systems based on statistical clustering technique

This paper is concerned with the identification of a class of piecewise affine systems called a piecewise affine autoregressive exogenous (PWARX) model. The PWARX model is composed of ARX sub-models each of which corresponds to a polyhedral region of the regression space. Under the temporary assumption that the number of sub-models is known a priori, the input-output data are collected into several clusters by using a statistical clustering algorithm. We utilize support vector classifiers to estimate the boundary hyperplane between two adjacent regions in the regression space. In each cluster, the parameter vector of the sub-model is obtained by the least squares method. It turns out that the present statistical clustering approach enables us to estimate the number of sub-models based on the information criteria such as CAIC and MDL. The estimate of the number of sub-models is performed by applying the identification procedure several times to the same data set, after having fixed the number of sub-models to different values. Finally, we verify the applicability of the present identification method through a numerical example of a Hammerstein model.     

Formal representation of summary tables for health care statistical database management

There is an ever-increasing demand for statistical information in health-care societies, and voluminous statistics are collected every year. When one needs information on survey results, it is generally not allowed to access the original data, and the summary tables are the most important source of information which can be shared. In order to store summary tables as a well-organized database and to perform flexible retrieval, a formal study has been made on the structure of summary tables. We introduce the notion of summary table scheme and define the operations called table transformation. A statistical database management system has been implemented based on the study. In our study, a statistical database is a collection of summary tables obtained from a survey. If a survey is conducted periodically, a database consists of all the tables obtained in the past. System utilities have been implemented for handling time-oriented information.     

Evaluation of highly damaged renal function following extracorporeal circulation--usefulness of alpha 1-microglobulin index

The patients with highly damaged renal functions following extracorporeal circulation (ECC) were reviewed. Markers such as serum and urine creatinine (SCr, UCr), blood urea nitrogen (BUN), alpha 1-microglobulin in urine (as a marker of renal tubular function, abbreviated as U alpha 1-m), microalbumin in urine (as a marker of renal glomerular function, abbreviated as UA1b) were measured in each cases. Twenty patients were selected with the maximum value of U alpha 1-mover 60 micrograms/dl during or after ECC. The patients were classified into three groups according to preoperative value of alpha 1-m index (alpha 1-m index (I) = U alpha 1-m/UCr x 100 mg/g Cr), and Albumin index (Albumin index (I) = UA1b/UCr x 100 mg/g Cr). Group I (n = 13); alpha 1-m I > 10 and, Alb I > or = 50 (abnormal value of tubular and glomerular function), Group II (n = 3); alpha 1-m I < or = 10, Alb I > or = 50 (abnormal value of glomerular function), Group III (n = 4); alpha 1-m I < or = 10, Alb I < 50 (normal value of tubular and glomerular function). Six patients in Group I required postoperative hemodialysis (HD) and one patient in Group II. No one required HD in Group III. These facts suggest that preoperative damage of tubular and glomerular functions may become prolonged or irreversible damages may occur after operation. HD is required frequently in patients with alpha 1-m I level over 500 mg/g Cr, especially continuous HD may be needed in patient with alpha 1-m I level over 1000 mg/g Cr.     

An analysis of creep crack propagation on the basis of the plastic singular stress field

In order to gain an insight into creep crack propagation problems a mechanics approach is presented in this paper on the basis of the plastic singular stress field near a crack tip under the Mode III and I steady-state creep conditions, in combination with a generalized creep damage hypothesis. Closed form equations which predict rates of creep crack propagation are obtained analytically. According to this analysis, it is found that $\text{b}{}_1\text{(n + 1)}$ is the index which characterizes the effect of damage accumulation in front of a crack, where n is the creep exponent and b₁ is the exponent involved in the creep damage hypothesis used in this analysis. The tendency of the predicted crack propagation behaviors is consistent with experimental data available in the literature.     

Probabilistic output admissible set for systems with time-varying uncertainties

This paper considers time-varying uncertain constrained systems, and develops a method for computing a probabilistic output admissible (POA) set. This set consists of the initial states probabilistically assured to satisfy the constraint. The time-invariant counterpart has already been investigated in Hatanaka and Takaba [Computations of probabilistic output admissible set for uncertain constrained systems, Automatica 44 (2) (2008), to appear]. We first define the POA set for time-varying uncertainties with finite dimensional probability space. Then, we show that an algorithm similar to Hatanaka and Takaba [Computations of probabilistic output admissible set for uncertain constrained systems, Automatica 44 (2) (2008), to appear] provides the POA set also in the time-varying case, as long as an upper bound of a what we call future output admissibility (FOA) index is available. We moreover present two methods for computing the upper bound of the FOA index: probabilistic and deterministic methods. A numerical simulation demonstrates the effectiveness of our algorithm.     

An Elucidation of the Interaction Between Pt Particles and CeO2 Surfaces Using Tight-Binding Quantum Chemistry Method

To investigate the interaction between Pt particle and CeO₂ surface, we applied tight-binding quantum chemistry method to the study of electron and bonding state of Pt/CeO₂ system. We observed that the electron transfer between Pt and CeO₂ and the reduction of the Ce atoms influences the stability of Pt particle on CeO₂ surface.