This monograph details basic concepts and tools fundamental for the
analysis and synthesis of linear systems subject to actuator
saturation and developments in recent research. The authors use a
state-space approach and focus on stability analysis and the
synthesis of stabilizing control laws in both local and global
contexts. Different methods of modeling the saturation and behavior
of the nonlinear closed-loop system are given special attention.
Various kinds of Lyapunov functions are considered to present
different stability conditions. Results arising from uncertain
systems and treating performance in the presence of saturation are
given. The text proposes methods and algorithms, based on the use
of linear programming and linear matrix inequalities, for computing
estimates of the basin of attraction and for designing control
systems accounting for the control bounds and the possibility of
saturation. They can be easily implemented with mathematical
software packages.
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