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A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratic Lyapunov functions

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4 Author(s)
H. L. S. Almeida ; Lab. for Parallel Comput., Fed. Univ. of Rio de Janeiro, Brazil ; A. Bhaya ; D. M. Falcao ; E. Kaszkurewicz

We introduce the use of team algorithms using piecewise quadratic simultaneous Lyapunov functions for robust stability analysis and control design problems involving uncertain time-varying linear systems. The objective is to employ robust stability criteria that are less conservative than the well-known quadratic stability approach. The use of piecewise quadratic Lyapunov functions leads to a non-convex optimization problem, which is solved by a team algorithm that is a combination of a genetic algorithm with an interior-point method for linear matrix inequalities. Numerical examples are given, showing the advantages of the proposed solution

Published in:

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on  (Volume:4 )

Date of Conference:

16-18 Dec 1998