Title :
Novel e-Modification Robust Adaptive Control Scheme Using Non-Quadratic Lyapunov Functions for Higher Order Systems
Author :
Hassan, Heba A. ; Rao, M.P.R.V.
Author_Institution :
Dept. of Electr. Power & Machines, Cairo Univ.
Abstract :
Adaptive control laws are modified to obtain robust adaptive control schemes in the presence of disturbance. One of the well known modifications in robust adaptive control is the e-modification scheme; this modification has always been developed based on Lyapunov stability theory using the standard form of quadratic Lyapunov function (QLF). In contrast to such development and as a continuation to the effort done by the authors in this area, this paper presents new robust adaptive laws for e-modification scheme using novel non-quadratic Lyapunov function (NQLF) for higher order systems. These new laws offer better performance represented in a fast response of the output error signal while going to zero with a less number of oscillations. Simulation results for a third order system are illustrated in the paper to verify the advantages of using these new laws for higher order systems
Keywords :
Lyapunov methods; model reference adaptive control systems; robust control; e-modification robust adaptive control; higher order system; model reference adaptive control; nonquadratic Lyapunov functions; output error signal; third order system; Adaptive control; Context modeling; Control systems; Convergence; Lyapunov method; Mechanical engineering; Noise robustness; Programmable control; Robust control; Robust stability; Disturbance; Higher Order Systems; Model Reference Adaptive Control (MRAC); Non-Quadratic Lyapunov Function (NQLF); Quadratic Lyapunov Function (QLF); Robust Adaptive Control; e-Modification Scheme;
Conference_Titel :
Computer as a Tool, 2005. EUROCON 2005.The International Conference on
Conference_Location :
Belgrade
Print_ISBN :
1-4244-0049-X
DOI :
10.1109/EURCON.2005.1629918
