Robust H∞ control for nonlinear stochastic systems : A sliding-mode approach
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1695-1701 |
| Journal / Publication | IEEE Transactions on Automatic Control |
| Volume | 53 |
| Issue number | 7 |
| Publication status | Published - 2008 |
Link(s)
Abstract
This paper considers the sliding-mode control for nonlinear stochastic systems modeled by Itô stochastic differential equations. It is noted that there exist state and exogenous disturbance-dependent noise in the controlled systems. By utilizing H∞ disturbance attenuation technique, a novel sliding-mode control method is proposed such that the resultant system is asymptotically stable in probability with a prescribed H∞ performance. Sufficient conditions for the solvability of these problems are derived via nonlinear Hamilton-Jacobi (HJ)-type inequalities. Moreover, it is shown that for a class of special nonlinear stochastic systems, the H∞ -sliding-mode control design can be obtained by solving linear matrix inequalities (LMIs). Finally, a numerical simulation example is given. © 2008 IEEE.
Research Area(s)
- Exogenous disturbance, H∞ performance, Nonlinear stochastic systems, Sliding-mode control
Citation Format(s)
Robust H∞ control for nonlinear stochastic systems : A sliding-mode approach. / Niu, Yugang; Ho, Daniel W.C.; Wang, Xingyu.
In: IEEE Transactions on Automatic Control, Vol. 53, No. 7, 2008, p. 1695-1701.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
