An approach for solving the Hamilton-Jacobi-Isaacs equation (HJIE) in nonlinear \(\mathcal H_{\infty}\) control

DOI10.1016/S0005-1098(03)00025-6zbMath1030.93013MaRDI QIDQ1400324

M. D. S. Aliyu

Publication date: 13 August 2003

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

\(H_\infty\) controlnonlinear systemssymmetric solutionsHamilton-Jacobi-Isaacs equationcomputational procedure\(\mathcal L_2\)-gainDiscriminant equationLinear matrix inequalities (LMI)Quadratic equation

Mathematics Subject Classification ID

Related Items (15)

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Cites Work

• Robustness of nonlinear state feedback. A survey
• The Riccati equation
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
• Uncertainty compensation for a flexible-link manipulator using nonlinear H control
• H_∞ control via measurement feedback for affine nonlinear systems
• Linear Matrix Inequalities in System and Control Theory
• Approximated solutions to nonlinear discrete-time H/sub ∞/-control
• H _∞ -control of nonlinear time-varying systems with finite time horizon
• H/sup infinity / control for nonlinear systems with output feedback
• Optimal Regulation of Nonlinear Dynamical Systems
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