Abstract
In this study, the authors develop a new delay-dependent adaptive control design method for a class of nominally linear continuous-time systems with time-varying delays and unknown non-linearities. The parameter uncertainties are convex-bounded and the unknown non-linearities are mismatched time-varying perturbations satisfying Lipschitz conditions in the state and delayed state. A new delay-dependent procedure is constructed based on a new form of Lyapunov-Krasovskii functional (LKF) together with a free-weighting matrix equation and the integral inequality. The feedback gains are determined by convex optimisation over linear matrix inequalities (LMIs) such that closed-loop adaptive controlled system is asymptotically stable. The theoretical developments are then extended to the case of polytopic uncertainties by deploying a parameter-dependent LKF. All the obtained results are tested on representative examples.
| Original language | English |
|---|---|
| Pages (from-to) | 27-36 |
| Number of pages | 10 |
| Journal | IET Control Theory and Applications |
| Volume | 4 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2010 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Control and Optimization
- Electrical and Electronic Engineering