Work

H/sub ∞/ control of nonlinear systems via output feedback: a class of controllers

Year: 2002

Type: conference-paper

Abstract: The standard state space solutions to the H/sub /spl infin// control problem for linear time invariant systems are generalized to nonlinear time-invariant systems. A class of nonlinear H/sub /spl infin// controllers are parametrized as nonlinear fractional transformation on contractive, stable free nonlinear parameters. As in the linear case, the H/sub /spl infin// control problem is solved by its reduction to a state feedback and output injection problems, together with a separation argument. the sufficient conditions for H/sub /spl infin//-control problem to be solved are also derived with this machinery. The solvability for nonlinear H/sub /spl infin// control problem requires positive definite solution to two parallel decoupled Hamilton-Jacobi inequalities and these two solutions satisfy and additional coupling condition. An illustrative example, which deals with a passive plant, is given.>

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc.1993.325170

Authors: W.-M. Lu, J.C. Doyle

Institution: California Institute of Technology

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, California Institute of Technology, Air Force Office of Scientific Research

OpenAlex ID: W1550867153

FWCI: 2.851

Cites: 11

Cited by: 21

Related to: 10