Nonlinear H-Infinity Control Hamiltonian Systems and Hamilton-Jacobi Equations

<p>A comprehensive overview of nonlinear <em>H∞ </em>control theory for both continuous-time and discrete-time systems <strong>Nonlinear <em>H∞-</em>Control Hamiltonian Systems and Hamilton-Jacobi Equations </strong>covers topics as diverse as singular nonlinear <em>H∞-</em>control nonlinear <em>H</em><em>∞</em><strong> </strong><strong>-</strong>filtering mixed <em>H2/ H∞-</em>nonlinear control and filtering nonlinear<em> H∞-</em>almost-disturbance-decoupling </p><p>and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter.</p><p>Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them the biggest bottle-neck to the practical application of the nonlinear equivalent of the <em>H∞-</em>control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge the author hopes to inspire continuing research and discussion on this topic via examples and simulations as well as helpful notes and a rich bibliography.</p><p><em><strong>Nonlinear H∞-Control Hamiltonian Systems and Hamilton-Jacobi Equations</strong> was written for practicing professionals educators researchers and graduate students in electrical computer mechanical aeronautical chemical instrumentation industrial and systems engineering as well as applied mathematics economics and management.</em></p>