MODEL-BASED FEEDFORWARD PRECOMPENSATION AND VS-TYPE ROBUST NONLINEAR POSTCOMPENSATION FOR UNCERTAIN ROBOTIC SYSTEMS WITH WITHOUT KNOWLEDGE OF UNCERTAINTY BOUNDS .2./
Ss. You et Sk. Jeong, MODEL-BASED FEEDFORWARD PRECOMPENSATION AND VS-TYPE ROBUST NONLINEAR POSTCOMPENSATION FOR UNCERTAIN ROBOTIC SYSTEMS WITH WITHOUT KNOWLEDGE OF UNCERTAINTY BOUNDS .2./, KSME journal, 10(3), 1996, pp. 305-313
In this paper, the robust nonlinear controller for an uncertain robot
system is developed and characterized with a unified method. Based on
deterministic approach, the control structure consists of two parts :
In the first part, the primary control law is synthesized to precompen
sate for the nominal system; and in the second part the adaptive versi
on of robust controllers are utilized to postcompensate for the system
uncertainties. The uncertainties assumed in this papar are bounded by
higher-order polynomials in the Euclidean norms of system states with
out knowledge of bounding coefficients. Using the Lyapunov stability t
heory, we can guarantee that all possible responses of the closed-loop
system are at least uniformly and ultimately bounded. The tracking pr
operties of the control algorithms are verified through numerical simu
lations, and the results show that the proposed controllers are proven
to be robust enough for any higher-order system uncertainty.