The invention discloses a smooth nonsingular terminal sliding-
mode control method suitable for a
control system with a relative degree of 1, relates to a nonsingular terminal sliding-
mode control method, and solves the problems that the existing nonsingular terminal sliding-
mode control method exists buffeting to cause a controller not to output continuous smooth control signals and not be applied to the
control system with the relative degree of 1. The smooth nonsingular terminal sliding-mode control method comprises the following steps: if the controlled
system serves as a single-input single-output
control system with the relative degree of 1, then acquiring the
system state differential in real time, designing a
nonsingular terminal sliding mode, introducing a virtual controlled quantity and utilizing an
integral action to enable the actual output controlled quantity to be smooth and continuous; if the controlled
system serves as a matched multi-input multi-output control system, then converting a scalar realization form of the control system to a matrix vector realization form; if the controlled system serves as a non-matching indeterminate multi-input multi-output control system, then conducting nonsingular state change for two times according to the
controllability index r to resolve the system into r subsystems, introducing a
reference model to eliminate time-varying uncertainty of input channels of the subsystems, and further designing a control law and a minor control law. The smooth nonsingular terminal sliding-mode control method disclosed by the invention can be applied to smooth nonsingular terminal sliding-mode control of the control system with the relative degree of 1.