Gain-scheduled control of nonlinear partial differential equations

1 January 1990

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 387-392 vol.2
https://doi.org/10.1109/cdc.1990.203622

Abstract

The conditions are presented under which a family of linear state-feedback controllers designed for a nonlinear distributed-parameter system can be pieced together to form an overall nonlinear controller. The resulting closed-loop system has the property that its linearizations are equal to the desired linearly-controlled systems. The idea of gain scheduling is considered for systems governed by nonlinear partial differential equations, such as systems involving fluid flow. It is shown that it is possible to apply this technique to finite-dimensional approximations to the original system and to obtain nonlinear feedback laws approximating the ideal controller.

Keywords

This publication has 4 references indexed in Scilit:

Feedback control of multiinput nonlinear systems by extended linearization
IEEE Transactions on Automatic Control, 1988
Feedback linearization families for nonlinear systems
IEEE Transactions on Automatic Control, 1987
The Linear Regulator Problem for Parabolic Systems
SIAM Journal on Control and Optimization, 1984
Infinite Dimensional Linear Systems Theory
Published by Springer Nature ,1978