Robust control for uncertain dynamical systems with time-varying delays

Abstract

The research reported in this thesis deals the problem of robust control for uncertain dynamical systems for both continuous and discrete-time systems with time-varying delays. In particular, set of sufficient conditions are derived for obtaining the stabilization of the considered dynamical systems. The problem of robust reliable Hand#1048722; control for active vehicle suspension system in the presence of linear fractional uncertainties with input time varying delay has been investigated. Also, the problem of sampled-data Hand#1048722; control for uncertain mechanical systems with linear fractional uncertainties has been analyzed. Further, we studied the reliable Hand#1048722; control for uncertain structural systems with time varying delays. Next, we dealt the problem of robust stabilization of switched uncertain singular systems with time varying delays. Moreover, the problem of sample-data and reliable Hand#1048722; control design for uncertain TS fuzzy system with random delays are presented. Finally, the robust stabilization of discrete-time switched neural networks and reliable Hand#1048722; control for stochastic neural networks with mixed delays are studied. By applying the Lyapunov stability theory, linear matrix inequality (LMI) technique and various analysis techniques like delay fractioning technique, free weighting matrix approach and Jensons inequality the above mentioned results are derived. The results are iv established in terms of LMIs which can be easily solved by MATLAB-LMI toolbox.