In this paper, a nonlinear model predictive control method is presented for solid oxide fuel cell systems. For realistic modeling, a sector bounded nonlinear model with input constraint is considered. As a performance index, we consider one horizon cost function that is represented by the weighted sum of state, control input and nonlinear function. By minimizing the upper bound of the cost func...

This paper proposes an adaptive approximation-based controller for uncertain strict-feedback nonlinear systems with unknown dead-zone nonlinearity. Dead-zone constraint is represented as a combination of a linear system with a disturbance-like term. This work invokes neural networks (NNs) as a linear-in-parameter approximator to model uncertain nonlinear functions that appear in virtual and act...

Hocherman and Rosenau conjectured that long-wave unstable Cahn-Hilliard-type interface models develop finite-time singularities when the nonlinearity in the destabilizing term grows faster at large amplitudes than the nonlinearity in the stabilizing term (Phys. D 67, 1993, pp. 113–125). We consider this conjecture for a class of equations, often used to model thin films in a lubrication context...

This manuscript deals with the stabilization of a class of nonlinear discrete-time systems under control saturations including time-varying parameter dependency. The studied control law consists of the gain scheduled feedback of the measured output and of the nonlinearity present in the dynamics of the controlled system. Furthermore the saturations are taken into account by modeling the nonline...

In this paper, the output feedback controller design problem is addressed for linear systems subject to sensor nonlinearity. First, the existence condition of an output feedback controller is derived for systems with sensor sector nonlinearity. A design method for the output feedback controller is proposed using a linear-matrix inequality (LMI) based approach. The result is then applied to the ...

The paper studies the issues of existence, absence and uniqueness nontrivial nonnegative bounded solution for one class nonlinear integral equations on whole line with symmetric positive kernel. In under study, nonlinearity is a monotonic convex function part real axis. above mentioned equations, various particular representations kernel nonlinearity, has applications in many areas mathematical...

We consider weak solutions of the differential inequality of pLaplacian type −∆pu− f(u) ≤ −∆pv − f(v) such that u ≤ v on a smooth bounded domain in RN and either u or v is a weak solution of the corresponding Dirichlet problem with zero boundary condition. Assuming that u < v on the boundary of the domain we prove that u < v, and assuming that u ≡ v ≡ 0 on the boundary of the domain we prove u ...

An adaptive H∞ control for positioning mechanism with input nonlinearity is proposed in this paper. It is assumed that the input nonlinearity can be described as unknown parameters term and bounded disturbance term, an adaptive H∞ control method is given. Proposed control strategy does not include a discontinuous function, therefore, it can avoid to cause the chattering phenomena. Moreover, in ...