Please use this identifier to cite or link to this item:
|Title||Parameterization for Time-Delay Systems Based on Passivity and LMI Approach|
Control systems can be solved using optimization after being parameterized. Time-delays and uncertainty make it more difficult to obtain optimal solutions. In this work, it is proved that the stability properties of the time delay system can be easily and efficiency achieved using passivity properties in terms of Linear Matrix Inequality techniques (LMI) through effective and reliable optimization algorithms especially convex optimization tools. In this thesis we exploit an appropriate Lyapunov-Krasovskii function that contains both double and triple integral terms and to our knowledge no one have used triple integral term with combination of the passivity conditions; thus constitute the main contribution of this thesis. Thus, constitute moreover, Jensen’s inequality was utilized to deal with cross product terms that appeared when we derive the derivation of Lyapunov-Krasovskii function. Both delay-independent and delay-dependent cases are considered. New delay dependent stability bound for particular time delay systems is derived. This is clear through various numerical examples solved by convex optimization algorithm specifically by CVX toolbox under MATLAB package. Also we deal with the uncertainty that appeared in the control systems with delay. The above technique is used to construct passive robust controller renders the closed loop uncertain time delay system (UTDS) asymptotically stable; in addition, the stability analysis and synthesis of time varying systems with state and input delays is investigated using proposed method with " change of variables method" which make the solution of the particular problem easy and construct the controller directly by inverse transformation as well be seen in the sequel. The effectiveness of the proposed method is shown through several numerical examples. Based on the proposed method exploited in this thesis, at analysis phase, the time delay bound achieved by our approach is less conservative. In the synthesis phase concerns uncertain passive and uncertain controller design less disturbance attenuation level of the time delay has been obtained using proposed method.
|Publisher||the islamic university|
|Files in this item|