One-dimensional electronic fluids are peculiar conducting systems, where the fundamental role of interactions leads to exotic, emergent phenomena, such as spin-charge (spinon-holon) separation. The distinct low-energy properties of these 1D metals are successfully described within the theory of linear Luttinger liquids, but the challenging task of describing their high-energy nonlinear properti...

Modern aircraft control systems contain the so-called rate limiter elements which are in fact incorporating the saturation function which is a bounded nonlinearity. In certain critical cases the so-called sector rotation a standard procedure in absolute stability leads to the fact that the sector conditions are broken outside a bounded domain. In order to apply standard results of the absolute ...

In this report we discuss the design of cross-directional controllers which are guaranteed to be robustly stabilizing while incorporating a quadratic programme for steady state performance. The report is loosely based on the technical report of Akkermans (2003) who proposes using the multivariable circle criterion to guarantee closed-loop stability of cross-directional controllers in the presen...

In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner l...

Integral nonlinearity (INL) should be main source of ADC's harmonic distortion. The basic question is importance of dynamic INL. There are still open questions how to describe dynamic INL and if the dynamic corrections of ADC have sense. Key-Words: ADC, testing, static, dynamic, INL, hysteresis

Measurement of integral non-linearity (INL) and differential non-linearity (DNL) of an A/D converter using the histogram method incurs large test time. This test time can be a significant percentage of the total test time, especially for high resolution and low sampling-speed A/D converters. This paper describes a test methodology for measuring the INL and DNL specifications of A/D converters b...

In this paper, a nonlinear extension of the Georgiou-Smith system is considered and robustness results are proved for a nonlinear PI controller with respect to fast parasitic first-order dynamics. More specifically, for a perturbed nonlinear system with sector bounded nonlinearity and unknown control direction, sufficient conditions for global boundedness and attractivity have been derived. It ...

The purpose of this work is to design an exact fuzzy observer for a bioprocess switching between two different metabolic states. A continuous baker’s yeast culture is divided in two sub-models: a respiro-fermentative with ethanol production and a respirative with ethanol consumption. An exact fuzzy observer model using sector nonlinearity was built for both nonlinear models; the observer gains ...

This paper deals with the adaptive control of linearly parameterized discretetime nonlinear system in the presence of bounded disturbances and unmodeled dynamics. A new adaptive law is presented. No a priori knowledge about the bounds on both the plant parameters and unmodeled uncertainty is required to implement the estimation algorithm. The adaptive scheme is free from singularity. This is ac...

A systematic approach to joint state and time-varying parameter estimation for nonlinear systems is proposed in this paper. Applying the sector nonlinearity transformation to both the system nonlinearities and the time-varying parameters, the original system is equivalently rewritten as a Takagi-Sugeno system with unmeasurable premise variables. A joint state and parameter observer whose parame...