Download e-book for iPad: Max-Plus Methods for Nonlinear Control and Estimation by William M. McEneaney

By William M. McEneaney

The vital concentration of this booklet is the regulate of continuous-time/continuous-space nonlinear structures. utilizing new recommendations that hire the max-plus algebra, the writer addresses numerous sessions of nonlinear regulate difficulties, together with nonlinear optimum keep an eye on difficulties and nonlinear robust/H-infinity regulate and estimation difficulties. numerous numerical suggestions are hired, together with a max-plus eigenvector strategy and an strategy that avoids the curse-of-dimensionality. recognized dynamic programming arguments convey 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 equipment tested during this monograph belong to a wholly new type of numerical tools for the answer of nonlinear regulate difficulties and their linked HJB PDEs; they don't seem to be reminiscent of both of the in most cases used finite point or attribute methods. the aptitude benefits of the max-plus-based ways lie within the undeniable fact that answer operators for nonlinear HJB difficulties are linear over the max-plus algebra, and this linearity is exploited within the development of algorithms. The publication may be of curiosity to utilized mathematicians, engineers, and graduate scholars drawn to the regulate of nonlinear structures during the implementation of lately built numerical equipment. Researchers and practitioners tangentially attracted to this quarter also will discover a readable, concise dialogue of the topic via a cautious number of particular chapters and sections. easy wisdom of regulate conception for structures with dynamics ruled via differential equations is required.

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Max-Plus Methods for Nonlinear Control and Estimation (Systems & Control: Foundations & Applications) by William M. McEneaney

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