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Modified nonlinear H/sub /spl infin// controller formulas and the H/sub /spl infin// I/O linearization problem
Conference proceeding

Modified nonlinear H/sub /spl infin// controller formulas and the H/sub /spl infin// I/O linearization problem

Shu-Shiung Hu, Pao-Hwa Yang and B.C Chang
Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), v 3, pp 3500-3505 vol.3
1998

Abstract

Approximation algorithms Control systems Helium Linear approximation Linear feedback control systems Nonlinear control systems Nonlinear systems Riccati equations Robust control State feedback
A numerical difficulty arises when the existing nonlinear H/sub /spl infin// control formulas are employed to solve the H/sub /spl infin// I/O (input-output) linearization problem, which is formulated as an output feedback nonlinear H/sub /spl infin// control problem. We propose a modified nonlinear H/sub /spl infin// controller and successfully remove the numerical difficulty. A successive algorithm is also given to solve the Hamilton-Jacobi equation which is essential in the solution of the nonlinear H/sub /spl infin// control problem.

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