Year: 1993
Type: article
Abstract: The standard state space solutions to the H∞ control problem for linear time invariant systems are generalized to nonlinear time-invariant systems. A class of nonlinear H∞-controllers are parameterized as nonlinear fractional transformations on contractive, stable free nonlinear parameters. The investigation is carried out in a methodical fashion. As in the linear case, the H∞ control problem is solved by its reduction to four simpler special problems, together with a separation argument. Another byproduct of this approach is that the sufficient conditions for H∞-control problem to be solved are also derived with this machinery. The solvability for nonlinear H∞-control problem requires positive definite solutions to two parallel decoupled Hamilton-Jacobi inequalities and these two solutions satisfy an additional coupling condition. An illustrative example, which deals with a passive plant, is given at the end.
Authors: Wei-Min Lu, John C. Doyle
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2289482579