Adaptive Nonlinear Control of Electric Power Facilities Using a Synergetic Approach

This paper proposes a synergetic approach to the synthesis of adaptive nonlinear control systems for electric power facilities. The method introduces invariant manifolds (attractors) into the state space to align the natural dynamics of the plant with operational requirements. Traditional linear controllers often fail under varying operating modes and random disturbances, which reduces stability and control accuracy. The research contribution is the development of a nonlinear adaptive control framework that integrates the Analytical Design of Aggregated Regulators (ADAR), a nonlinear state observer for unmeasurable variables, and an integral adaptation mechanism for disturbance rejection. The approach is further adapted for discrete-time implementation, enabling deployment on digital controllers. To validate the method, simulations were performed on a TPE-214 steam generator model in MATLAB/Simulink. Results demonstrate asymptotic stability, fast transient response, and significant error reduction compared to PID and sliding mode control. Specifically, the settling time was reduced to under 50 s for drum water level and about 60 s for steam pressure, with deviations not exceeding ±2% and ±1.5%, respectively. Unlike PID, the proposed controller eliminates steady-state error and improves robustness under load variations. In conclusion, the synergetic approach ensures high stability, adaptability, and scalability for nonlinear energy systems, making it suitable for practical applications in modern power facilities and Smart Grid environments.

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