Research Of Robust Adaptive Control For A Class Of Uncertain Nonlinear Systems

Nonlinear system control is an important topic in control theory. Because of thecomplexity (system description correspond complication) and uncertainties such asmodeling error, parameter time delay, disturbance, thus usually can't acquire satisfiedsolution. Many conclusions of modem control theories can't exert person's idea inapplication of engineering at actual. Uncertain nonlinear system control is alwaysdifficult at present.According to differential geometry theory, research of nonlinear system controlgetting promotes, adaptive control theory and variable structure control theory arethe two greatest result. This paper investigated the hypo-optimal control for nonlinearsystem and designed H_∞state feedback controller for it, using L₂-gain from inputto output. Besides, adopted a kind of affine nonlinear geometry structure theory,aimed to a class of uncertain nonlinear systems, the robust control method is appliedto adaptive control theory, emphasize research robust GMC based on linear modelidentification. Utilized strong tracking filter theory and input equivalent disturbancetheory, design robust adaptive controller in order to compensate the effect ofmeasurable disturbance and overcome the error of matching between course andmodel, also time-variable characteristic.Presently, research of robust adaptive control for nonlinear system is poor.Nonlinear system theory has been the hotspot in control theory and actualengineering application realm in recent years, so does the problem of uncertainsystem. The combinations will generate much more all-around complex problem, notonly rich theoretical research background, but upper value in practical engineeringapplication.