Abstract
This chapter is concerned with recent developments on observer design for non-linear systems via Takagi-Sugeno models, both in continuous- and discrete-time. As traditionally done, the direct Lyapunov method is employed to derive conditions in the form of linear matrix inequalities. Novelties include a better handling of measurable and unmeasurable premises, the inclusion of multiple delays in non-quadratic Lyapunov functions, and the use of matrix properties to add slack variables; feasibility of conditions is thus enhanced while improving the quality of solutions.
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