A solution permitting the stabilization of 2-dimensional (2-D) continuous-time saturated system
under state feedback control is presented in this book. The problems of delay and saturation
are treated at the same time. The authors obtain novel results on continuous 2-D systems using
the unidirectional Lyapunov function. The control synthesis and the saturation and delay
conditions are presented as linear matrix inequalities. Illustrative examples are worked
through to show the effectiveness of the approach and many comparisons are made with existing
results.The second half of the book moves on to consider robust stabilization and filtering of
2-D systems with particular consideration being given to 2-D fuzzy systems. Solutions for the
filter-design problems are demonstrated by computer simulation. The text builds up to the
development of state feedback control for 2-D Takagi-Sugeno systems with stochastic
perturbation. Conservatism is reduced by using slack matrices and the coupling between the
Lyapunov matrix and the system matrices is broken by using basis-dependent Lyapunov functions.
Mean-square asymptotic stability and prescribed H-infinity performance are
guaranteed.Two-Dimensional Systems emphasizes practical approaches to control and filter design
under constraints that appear in real problems and uses off-the-shelf software to achieve its
results. Researchers interested in control and filter design for multidimensional systems
especially multi-dimensional fuzzy systems will find this book a useful resource as will
graduate students specializing in dynamical sytems.
