Abstract
Series and parallel LRC circuit systems are widely encountered in numerous electrical, electronics, control issues and differential equation applications. Accurate control of the current in series and voltage in parallel LRC circuit systems with nonlinear time-varying inductance, resistance and capacitance is a challenge. In this study, a novel approach proposed for control of current in nonlinear time-varying series LRC circuit and voltage in nonlinear and time-varying parallel LRC circuit. The proposed controller is characterized by a nonlinear algebraic equation and straining the tracking error converge to zero. Illustrative results confirm the proposed approach for forcing the current /voltage in series and parallel nonlinear time-varying LRC circuit to follow the targeted current /voltage trajectories efficiently. The proposed approach shows great novelty to determine the dynamics behavior of nonlinear time-varying systems. Therefore, the obtained results generalize and improve the existing conclusions. Simulations illustrate the feasibility and validity of the theoretical results.
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