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A Decoding Approach to Fault Tolerant Control of Linear Systems with Quantized Disturbance Input

2010/11/12 by Sophie M. Fosson, Fosson, Sophie M.
Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Optimization and Control (math.OC) #cs.IT #math.IT #math.OC

paper · pdf · doi:10.48550/arxiv.1011.2989

arxiv created 2010/11/12 · arxiv updated 2010/11/15

Abstract

The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of technological faulty processes. The goal is to make the system able to tolerate the undesired perturbation, i.e., to remove or at least reduce its negative effects; such a task is performed in three steps: the detection of the fault, its identification and the consequent process recovery. When the disturbance function is known to be quantized over a finite number of levels, the detection can be successfully executed by a recursive decoding algorithm, arising from Information and Coding Theory and suitably adapted to the control framework. This technique is analyzed and tested in a flight control issue; both theoretical considerations and simulations are reported.

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