This paper presents a nonlinear extension of the affine transform as used in the iterated function systems (IFS) to compress signals and data. Compared with ∅ien and Nårstad’s orthogonal transform with compression ratio of 6.0:1 for the electrocardiogram (ECG) signal, the nonlinear approach produces higher compression ratios of 10.2:1, and is more flexible in finding the corresponding strange a...

As is well-known, the classical PID control plays a dominating role in various loops of industrial processes. However, theory that can explain rationale why linear successfully deal with ubiquitous uncertain nonlinear dynamical systems and method provide explicit design formulae for parameters are still lacking. This paper continuation authors recent endeavor towards establishing theoretical fo...

TThis paper gives a design method for a model predictive control (MPC) approach based on a unified performance index throughout the start-up phase tension and looper control which consists of the non-contact and contact modes in order to suppress the deviation of the strip tension while the looper contacts with the strip as quickly as possible. We will formulate the control problem by using a M...

In this paper the multi-input sliding mode methodology for uncertain nonlinear system affine in the control is generalized to the case in which the matrix pre-multiplying the control in the state equation is uncertain, non constant and state-dependent. This property is inherited by the matrix multiplying the control in the sliding output dynamics, which is the nonlinear version of the well know...

IBEX is a open-source C++ library for constraint processing over real numbers. It provides reliable algorithms for handling non-linear constraints. In particular, roundoff errors are also taken into account. It is based on interval arithmetic and affine arithmetic. The main feature of IBEX is its ability to build strategies declaratively through the contractor programming paradigm. It can also ...

In this paper, we present the a-posteriori error analysis for the Reduced Basis Method (RBM) applied to nonlinear variational problems that depend on a parameter in a non-affine manner. To this end, we generalize the analysis by Veroy and Patera ([16]) to non-affine parametrized partial differential equations. We use the Empirical Interpolation Method (EIM) in order to approximate the non-affin...