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Design of a nonlinear H/sub /spl infin// controller for the inverted pendulum system
Conference proceeding

Design of a nonlinear H/sub /spl infin// controller for the inverted pendulum system

Shr-Shiung Hu and Bor-Chin Chang
Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104), v 2, pp 699-703
1998

Abstract

Contracts Energy dissipation NASA Nonlinear control systems Nonlinear equations Nonlinear systems Riccati equations Robust control Control Systems Mechanical Engineering
A well-known control application, the inverted pendulum system, is formulated as a nonlinear H/sub /spl infin// control problem. In order to construct a nonlinear H/sub /spl infin// controller, it is essential to find a solution for the Hamilton-Jacobi equation (HJE). A successive algorithm is employed to obtain an approximate solution of the HJE and then a nonlinear H/sub /spl infin// controller is constructed. Simulations of the closed-loop pendulum responses for both the nonlinear and the linear H/sub /spl infin// controllers are performed and compared. It is found that the nonlinear H/sub /spl infin// controller has better performance and robustness than the linear controller.

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