There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

/pdf/convex-analysisnoer-san-nojin-zhan-nituite-5dl2rbmoyr.pdf

Convex Analysisの二,三の進展について

Electrical energy storage technologies for stationary applications are reviewed. Particular attention is paid to pumped hydroelectric storage, compressed air energy storage, battery, flow battery, fuel cell, solar fuel, superconducting magnetic energy storage, flywheel, capacitor/supercapacitor, and thermal energy storage. Comparison is made among these technologies in terms of technical characteristics, applications and deployment status.

http://promexico.me/Rubenius/WhitePapers/sdarticle%20(1).pdf

Progress in electrical energy storage system: A critical review

During the past several years, there have been increasing research activities in the field of stability analysis and switching stabilization for switched systems. This paper aims to briefly survey recent results in this field. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After a brief review of the stability analysis under restricted switching and the multiple Lyapunov function theory, the switching stabilization problem is studied, and a variety of switching stabilization methods found in the literature are outlined. Then the switching stabilizability problem is investigated, that is under what condition it is possible to stabilize a switched system by properly designing switching control laws. Note that the switching stabilizability problem has been one of the most elusive problems in the switched systems literature. A necessary and sufficient condition for asymptotic stabilizability of switched linear systems is described here.

Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results

This paper presents control and coordination algorithms for groups of vehicles. The focus is on autonomous vehicle networks performing distributed sensing tasks where each vehicle plays the role of a mobile tunable sensor. The paper proposes gradient descent algorithms for a class of utility functions which encode optimal coverage and sensing policies. The resulting closed-loop behavior is adaptive, distributed, asynchronous, and verifiably correct.

Coverage control for mobile sensing networks

This paper indicates several possibilities to model embedded controllers as hybrid systems. It is shown that hybrid systems, the combinations of time-continuous and discrete-event systems, allow many powerful mathematical descriptions. Instances of hybrid systems include embedded controllers, supervisory systems and asynchronous processes. Although simulation programs are currently becoming more powerful for dealing with hybrid systems, analysis and synthesis are still open questions.

Hybrid systems : Modelling embedded controllers

Assessment of nonlinear predictive control techniques for DC-DC converters

Numerical Evaluation of a Robust Self-Triggered MPC Algorithm*

A hybrid integral controller with reset is proposed. This hybrid controller ensures improved low-frequency disturbance rejection properties under double integrator (PI2D) control without inducing the undesired increase of overshoot otherwise resulting from adding an extra linear integrator to a PID controller. The controller is applied to an optical lens motion system that requires PID control in one operating mode and PI2D control in the other, therewith motivating a hybrid integral control strategy. The reset element in the controller is included to improve transient performance. To guarantee closed-loop stability, a conditional (and partial) reset rule is introduced that restricts the input-output behavior of the dynamic reset element, i.e., the hybrid integrator with reset, to a bounded sector. As a result, stability can be guaranteed on the basis of a circle criterion-like argument and checked by (measured) frequency response data. Stability and performance of the hybrid integral control design with conditional (and partial) reset are investigated by application to a piezo-actuated lens system that is part of an industrial wafer scanner.

Hybrid Integral Reset Control with Application to a Lens Motion System

This paper addresses the attitude estimation problem using vector and gyroscope measurements. We propose a novel adaptation scheme for the complementary filter cut-off frequency which is based on the similarity between independent estimates obtained from the vector and gyroscope measurements. The adaptive complementary filter is also derived on the special orthogonal group and convergence of the filter is established. The effectiveness of our approach is demonstrated with simulation results.

/pdf/similarity-based-adaptive-complementary-filter-for-imu-2rfq9v5sgm.pdf

Wpmh Maurice Heemels

Papers

Hybrid systems : Modelling embedded controllers

Assessment of nonlinear predictive control techniques for DC-DC converters

Numerical Evaluation of a Robust Self-Triggered MPC Algorithm*

Hybrid Integral Reset Control with Application to a Lens Motion System

Similarity-Based Adaptive Complementary Filter for IMU Fusion