Stochastic Methods for Hard Optimization: Application to Robust Control and Fault Diagnosis of Industrial Systems

Stochastic Methods for Hard Optimization: Application to Robust Control and Fault Diagnosis of Industrial Systems

Rosario Toscano (Université de Lyon, France)
DOI: 10.4018/978-1-61520-849-4.ch007

Abstract

This chapter aims at solving difficult optimization problems arising in many engineering areas. To this end, a brief review of the main stochastic methods which can be used for solving continuous non-convex constrained optimization problems is presented i.e.: Simulated annealing (SA), Genetic algorithm (GA), and Particle swarm optimization (PSO). In addition to that, we will present a recently developed optimization method called Heuristic Kalman Algorithm (HKA) which seems to be, in some cases, an interesting alternative to the conventional approaches. The performance of these methods depends dramatically on the feasible search domain used to find out a solution as well as the initialization of the various user defined parameters. From this point of view, some practical indications concerning these issues will be given. Another objective of this chapter is to show that the stochastic methods, notably HKA, can be efficiently used to solve robust synthesis problems in the area of structured control and fault diagnosis systems. More precisely, we will deal with the following problems: the synthesis of a robust controller with a given fixed structure and the design of a robust residual generator. Some numerical experiments exemplify the resolution of this kind of problems.
Chapter Preview
Top

Background: The Optimization Prolbem

Optimization is the way of obtaining the best possible outcome given the degrees of freedom and the constraints. To make our discussion more precise, consider the general system presented in Figure 1, which produces an output in response to a given input. In addition, this system has some tuning parameters allowing the modification of its behaviour. By behavior we mean the relationship existing between the inputs and outputs.

Complete Chapter List

Search this Book:
Reset