This paper deals with the problems of ââ?¬Å?explosion of term,ââ?¬Â uncertain parameter in static synchronous compensator (STATCOM)\nsystem with nonlinear time-delay. An improved adaptive controller is proposed to enhance the transient stability of system states\nand reduce computational complexity of STATCOM control system. In contrast to backstepping control scheme in high order\nsystems, the problem of ââ?¬Å?explosion of termââ?¬Â is avoided by designing dynamic surface controller. The low pass filter is included\nto allow a design where the model is not differentiated and thus has prevented the mathematical complexities effectively. In\naddition, unlike the traditional adaptive control schemes, the certainty equivalence principle is not required for estimating the\nuncertain parameter by system immersion and manifold invariant (I&I) adaptive control. A smooth function is added to ensure\nthat the estimation error converges to zero in finite time.The effectiveness of the proposed controller is verified by the simulations.\nCompared with adaptive backstepping and proportion integration differentiation (PID), the oscillation amplitudes of transient\nresponse are reduced by nearly half, and the time of reaching steady state is shortened by at least 11%.
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