Fuzzy reduced-order filtering for nonlinear parabolic PDE systems with limited communication

Efficient POD reduced-order modeling for parametrized nonlinear PDE systems

In this paper a model order reduction method for a nonlinear elliptic-parabolic system is developed. Systems of this type arise from mathematical models for lithium ion batteries. A non-intrusive reduced order approach based on proper orthogonal decomposition (POD) is presented. In addition to this the interpolation method introduced by Barrault et al. [3] is applied in order to achieve efficie...

Discrete Maximum Principles for Nonlinear Parabolic PDE Systems

Hinfinity filtering for networked systems with limited communication

This paper is concerned with the quantized H∞ filtering problem for discrete-time systems subject to limited communication capacity, which includes measurement quantization and random sensor packet losses. By introducing an improved quantized random packet-loss model, the effects of the packet-loss rate and the upper bound of consecutive packet losses and the quantization on the system performa...

Reduced-order H∞ filtering for commensurate fractional-order systems

This paper is concerned with the reduced-order H∞ filtering problem of commensurate fractional-order systems. Our goal is to construct a reduced-order filter in such a way that the filtering error is within a prescribed H∞-norm error bound. Based on the bounded real lemma for commensurate fractional-order systems, a sufficient condition is established in terms of linear matrix inequalities (LMI...

Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with non-monotone coupling

Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance (or essentially monotonicity) of the nonlinear coupling can be relaxed, allowing to include much more general situations in suitable models.