By Yury V Orlov,Luis T. Aguilar
This compact monograph is targeted on disturbance attenuation in nonsmooth dynamic platforms, constructing an H∞ method within the nonsmooth atmosphere. just like the traditional nonlinear H∞ approach, the proposed nonsmooth layout promises either the interior asymptotic balance of a nominal closed-loop procedure and the dissipativity inequality, which states that the dimensions of an blunders sign is uniformly bounded with admire to the worst-case dimension of an exterior disturbance sign. This warrantly is accomplished by way of developing an power or garage functionality that satisfies the dissipativity inequality and is then applied as a Lyapunov function to ensure the inner balance requirements.
Advanced H∞ regulate is distinctive within the literature for its therapy of disturbance attenuation in nonsmooth platforms. It synthesizes a variety of instruments, together with Hamilton–Jacobi–Isaacs partial differential inequalities in addition to Linear Matrix Inequalities. besides the finite-dimensional therapy, the synthesis is prolonged to infinite-dimensional atmosphere, regarding time-delay and disbursed parameter structures. to aid illustrate this synthesis, the e-book focuses on electromechanical applications with nonsmooth phenomena as a result of dry friction, backlash, and sampled-data measurements. particular awareness is dedicated to implementation issues.
Requiring familiarity with nonlinear structures thought, this e-book may be available to g
raduate scholars drawn to structures research and layout, and is a welcome addition to the literature for researchers and practitioners in those areas.
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Extra resources for Advanced H∞ Control: Towards Nonsmooth Theory and Applications (Systems & Control: Foundations & Applications)
Advanced H∞ Control: Towards Nonsmooth Theory and Applications (Systems & Control: Foundations & Applications) by Yury V Orlov,Luis T. Aguilar