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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Advanced H Control - Towards Nonsmooth Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2014)
Loot Price: R2,136
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Advanced H Control - Towards Nonsmooth Theory and Applications (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: Systems & Control: Foundations & Applications
Expected to ship within 10 - 15 working days
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This compact monograph is focused on disturbance attenuation in
nonsmooth dynamic systems, developing an H approach in the
nonsmooth setting. Similar to the standard nonlinear H approach,
the proposed nonsmooth design guarantees both the internal
asymptotic stability of a nominal closed-loop system and the
dissipativity inequality, which states that the size of an error
signal is uniformly bounded with respect to the worst-case size of
an external disturbance signal. This guarantee is achieved by
constructing an energy or storage function that satisfies the
dissipativity inequality and is then utilized as a Lyapunov
function to ensure the internal stability requirements. Advanced H
Control is unique in the literature for its treatment of
disturbance attenuation in nonsmooth systems. It synthesizes
various tools, including Hamilton-Jacobi-Isaacs partial
differential inequalities as well as Linear Matrix Inequalities.
Along with the finite-dimensional treatment, the synthesis is
extended to infinite-dimensional setting, involving time-delay and
distributed parameter systems. To help illustrate this synthesis,
the book focuses on electromechanical applications with nonsmooth
phenomena caused by dry friction, backlash, and sampled-data
measurements. Special attention is devoted to implementation
issues. Requiring familiarity with nonlinear systems theory, this
book will be accessible to g raduate students interested in systems
analysis and design, and is a welcome addition to the literature
for researchers and practitioners in these areas.
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