The invention discloses a predefined time
sliding mode control method based on an improved
cascade non-linear extended
state observer, so as to realize higher-performance and more reliable control of an uncertain non-
linear system, and the method comprises the following steps: 1, providing an inequality based on PTC based on PTC basic definition, and aiding the design of a PTC controller with an adjustable characteristic; 2, aiming at the inequality proposed in the step 1, designing an adjustable PTSMC in combination with a
sliding mode control algorithm; and step 3, for non-matching disturbance widely existing in a non-
linear system, providing an improved non-linear extended
state observer, and compensating an adjustable PTSMC
algorithm. The invention provides a novel PTC (
Positive Temperature Coefficient)-based inequality and auxiliary
controller design. And meanwhile, the designed controller has a better convergence speed. An adjustable predefined time sliding mode controller is designed based on an inequality, and the control performance of the
system is effectively improved. The design of ICNLESO can observe and compensate
system disturbance in real time, and the anti-interference performance of the
system is enhanced.