Title :
Averaging analysis for discrete time and sampled data adaptive systems
Author :
Bai, Er-Wei ; Fu, Li-Chen ; Sastry, S. Shankar
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
2/1/1988 12:00:00 AM
Abstract :
Earlier continuous-time averaging theorems are extended to the nonlinear discrete-time case. These theorems are applied to the study of the convergence analysis of discrete-time adaptive identification and control systems. Instability theorems are also derived for the study of robust stability and instability of adaptive control schemes applied to sampled data systems. As a byproduct, the effects of sampling are also studied on unmodeled dynamics in continuous-time systems
Keywords :
adaptive systems; control system analysis; convergence; discrete time systems; sampled data systems; stability; adaptive identification; adaptive systems; continuous-time systems; control systems; convergence analysis; discrete time; instability; robust stability; sampled data; unmodeled dynamics; Adaptive control; Adaptive systems; Continuous time systems; Control systems; Convergence; Discrete time systems; Least squares methods; Programmable control; Robust stability; Sampling methods;
Journal_Title :
Circuits and Systems, IEEE Transactions on