Position-Adjustable Robust Chaotic System and Grid Multi-scroll Attractor Generation for Electric Drive Control

Chaotic systems show great potential in power electronics and electric drive. To optimize system performance, this paper proposes a novel methodology for generating grid-structured multi-scroll chaotic attractors with enhanced topological control. The approach first constructs a robust chaotic system with position-adjustable state variables by utilizing parameter effects on equilibrium points and characteristic equations, critical for precise control of relevant devices/systems. A multi-value weighted function is introduced to precisely control scroll quantities along the adjustable direction for dynamic adjustment. Furthermore, a time-varying shift control function enables displacement regulation along non-adjustable dimensions, extending scroll generation orthogonally and enhancing control flexibility. A 3D chaotic system is used as a case study to explore relationships between control functions and multi-scroll properties, verifying feasibility. Additionally, a pseudo-random number generation (PRNG) scheme based on this architecture is developed, demonstrating cryptographic potential for secure communication/control signal processing in the field.