A new method of variable structure control system based on lines cluster approaching theory

Based on lines cluster approaching theory and inspired by the traditional exponent reaching law method, a new control law is designed to further improve the parameter simplicity and structure optimization of the control system. Meanwhile, the design guidelines and mathematical proofs are also given respectively according to Lyapunov stability theory. According to the new kind of control laws, a intelligent fuzzy parameter optimization is put forward to improve the rapidity and robustness. Taking traditional servo control system as example, three control schemes are constructed. Computer simulation results present that the lines cluster approaching mode control (LCAMC) method makes the servo system remain to track command quickly and accurately in spite of the influence of sustained equivalent disturbances. Compared with the traditional variable structure control system, the LCAMC method has a smaller error and a better tracking performance. Fuzzy controller makes the LCAMC method to have better rapidity and robustness.