Series solution of a class of nonlinear optimal regulators

DOI10.1007/BF02190099zbMath0872.49010OpenAlexW2034806307MaRDI QIDQ1359448

T. L. Timlin, Shirley J. Dyke, Michael K. Sain, Billie F. jun. Spencer

Publication date: 6 July 1997

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02190099

zbMATH Keywords

Hamilton-Jacobi-Bellman equationdouble inverted pendulumnonlinear optimal regulatorstensor expansion

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Hamilton-Jacobi equations in mechanics (70H20) Hamilton-Jacobi theories (49L99)

Related Items (2)

Determination of optimal feedback terminal controllers for general boundary conditions using generating functions ⋮ Numerical solutions to the Bellman equation of optimal control

Cites Work

• Non-linear optimal control of a Duffing system
• Design of nonlinear automatic flight control systems
• Suboptimal feedback control for nonlinear systems
• Adaptive control of linearizable systems
• On the optimal stabilization of nonlinear systems
• Optimal Regulation of Nonlinear Dynamical Systems

This page was built for publication: Series solution of a class of nonlinear optimal regulators