Max-plus Methods For Nonlinear Control And Estimation (systems & Control: Foundations & Applications)
by William M. McEneaney /
2005 / English / PDF
4.7 MB Download
The central focus of this book is the control of
continuous-time/continuous-space nonlinear systems. Using new
techniques that employ the max-plus algebra, the author addresses
several classes of nonlinear control problems, including nonlinear
optimal control problems and nonlinear robust/H-infinity control
and estimation problems. Several numerical techniques are employed,
including a max-plus eigenvector approach and an approach that
avoids the curse-of-dimensionality. The max-plus-based methods
examined in this work belong to an entirely new class of numerical
methods for the solution of nonlinear control problems and their
associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are
not equivalent to either of the more commonly used finite element
or characteristic approaches. Max-Plus Methods for Nonlinear
Control and Estimation will be of interest to applied
mathematicians, engineers, and graduate students interested in the
control of nonlinear systems through the implementation of recently
developed numerical methods.
The central focus of this book is the control of
continuous-time/continuous-space nonlinear systems. Using new
techniques that employ the max-plus algebra, the author addresses
several classes of nonlinear control problems, including nonlinear
optimal control problems and nonlinear robust/H-infinity control
and estimation problems. Several numerical techniques are employed,
including a max-plus eigenvector approach and an approach that
avoids the curse-of-dimensionality. The max-plus-based methods
examined in this work belong to an entirely new class of numerical
methods for the solution of nonlinear control problems and their
associated Hamilton–Jacobi–Bellman (HJB) PDEs; these methods are
not equivalent to either of the more commonly used finite element
or characteristic approaches. Max-Plus Methods for Nonlinear
Control and Estimation will be of interest to applied
mathematicians, engineers, and graduate students interested in the
control of nonlinear systems through the implementation of recently
developed numerical methods.