Nonlinear \(H_{\infty}\) control around periodic orbits

DOI10.1016/S0167-6911(96)00087-4zbMath0901.93020MaRDI QIDQ1391857

D. Massart

Publication date: 23 July 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsperiodic Riccati equationtransverse dynamicsnonlinear \(H_{\infty}\) controltransverse linearization

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Nonlinear \(\mathcal H_{\infty}\)-control of nonsmooth time-varying systems with application to friction mechanical manipulators ⋮ A family of driving forces to suppress chaos in jerk equations: Laplace domain design

Uses Software

• Robust Control Toolbox
• Mu Analysis and Synthesis Toolbox

Cites Work

• Inertia theorems for the periodic Liapunov equation and periodic Riccati equation
• On a state space approach to nonlinear \(H_ \infty\) control
• \(H_ \infty\) filtering for linear periodic systems with parameter uncertainty
• Converse Lyapunov functions for exponentially stable periodic orbits
• Nonlinear control of a swinging pendulum
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• $H^\infty $ Control of Linear Time-Varying Systems: A State-Space Approach
• L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
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