Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers (1997)
| Citations: | 22 - 1 self |
BibTeX
@MISC{Krstic97inverseoptimal,
author = {Miroslav Krstic and Zhong-hua Li},
title = {Inverse Optimal Design of Input-to-State Stabilizing Nonlinear Controllers},
year = {1997}
}
Years of Citing Articles
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
We show that input-to-state stabilizability (as defined by Sontag) is both necessary and sufficient for the solvability of a Hamilton-Jacobi-Isaacs equation associated with a meaningful differential game problem similar to, but more general than, the "nonlinear H1 " problem. The significance of the result stems from the fact that constructive solutions to the input-to-state stabilization problem are available (presented in the paper) and that, as shown here, inverse optimal controllers possess margins on input-to-state stability against a certain class of input unmodeled dynamics. Rather than completion of squares, the main tool in our analysis are Legendre-Fenchel transformations and the general form of Young's inequality. This work was supported in part by the National Science Foundation under Grant ECS-9624386, in part by the Air Force Office of Scientific Research under Grant F496209610223, and in part by a gift from the United Technologies Research Center. y This work was per...
