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Fault tolerant control for uncertain time-delay systems based on sliding mode control

Jun Sheng Wu, Zhengxin Weng, Zuo Hua Tian, Song Jiao Shi (2008)

Kybernetika

Fault tolerant control for uncertain systems with time varying state-delay is studied in this paper. Based on sliding mode controller design, a fault tolerant control method is proposed. By means of the feasibility of some linear matrix inequalities (LMIs), delay dependent sufficient condition is derived for the existence of a linear sliding surface which guarantees quadratic stability of the reduced-order equivalent system restricted to the sliding surface. A reaching motion controller, which can...

Fault tolerant control using Gaussian processes and model predictive control

Xiaoke Yang, Jan M. Maciejowski (2015)

International Journal of Applied Mathematics and Computer Science

Essential ingredients for fault-tolerant control are the ability to represent system behaviour following the occurrence of a fault, and the ability to exploit this representation for deciding control actions. Gaussian processes seem to be very promising candidates for the first of these, and model predictive control has a proven capability for the second. We therefore propose to use the two together to obtain fault-tolerant control functionality. Our proposal is illustrated by several reasonably...

Finite horizon nonlinear predictive control by the Taylor approximation application to robot tracking trajectory

Ramdane Hedjar, Redouane Toumi, Patrick Boucher, Didier Dumur (2005)

International Journal of Applied Mathematics and Computer Science

In industrial control systems, practical interest is driven by the fact that today's processes need to be operated under tighter performance specifications. Often these demands can only be met when process nonlinearities are explicitly considered in the controller. Nonlinear predictive control, the extension of well-established linear predictive control to nonlinear systems, appears to be a well-suited approach for this kind of problems. In this paper, an optimal nonlinear predictive control structure,...

Finite-dimensional control of nonlinear parabolic PDE systems with time-dependent spatial domains using empirical eigenfunctions

Antonios Armaou, Panagiotis Christofides (2001)

International Journal of Applied Mathematics and Computer Science

This article presents a methodology for the synthesis of finite-dimensional nonlinear output feedback controllers for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains. Initially, the nonlinear parabolic PDE system is expressed with respect to an appropriate time-invariant spatial coordinate, and a representative (with respect to different initial conditions and input perturbations) ensemble of solutions of the resulting time-varying PDE system is...

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