Download Max-Plus Methods for Nonlinear Control and Estimation by William M. McEneaney PDF

By William M. McEneaney

The important concentration of this e-book is the keep an eye on of continuous-time/continuous-space nonlinear structures. utilizing new options that hire the max-plus algebra, the writer addresses numerous periods of nonlinear keep an eye on difficulties, together with nonlinear optimum keep watch over difficulties and nonlinear robust/H-infinity regulate and estimation difficulties. numerous numerical ideas are hired, together with a max-plus eigenvector process and an procedure that avoids the curse-of-dimensionality. famous dynamic programming arguments exhibit there's a direct courting among the answer of a keep an eye on challenge and the answer of a corresponding Hamilton–Jacobi–Bellman (HJB) partial differential equation (PDE). The max-plus-based tools tested during this monograph belong to a wholly new type of numerical equipment for the answer of nonlinear regulate difficulties and their linked HJB PDEs; they aren't comparable to both of the quite often used finite aspect or attribute ways. the capability benefits of the max-plus-based methods lie within the incontrovertible fact that resolution operators for nonlinear HJB difficulties are linear over the max-plus algebra, and this linearity is exploited within the building of algorithms. The booklet could be of curiosity to utilized mathematicians, engineers, and graduate scholars attracted to the keep an eye on of nonlinear structures throughout the implementation of lately constructed numerical equipment. Researchers and practitioners tangentially drawn to this zone also will discover a readable, concise dialogue of the topic via a cautious number of particular chapters and sections. simple wisdom of keep an eye on idea for platforms with dynamics ruled by means of differential equations is required.

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