Adaptive control of systems with mismatched non-linearities and time-varying delays using state measurements

作者：Mahmoud M S^*; Al Rayyah A Y

来源：IET Control Theory and Applications, 2010, 4(1): 27-36.

DOI：10.1049/iet-cta.2009.0108

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.

• 出版日期2010-1
• 单位中国石油大学（北京）