System modeling apparatus and method and controller designing system and method using the same

A controller designing method of system-modeling, the controller designing method comprising:

• applying one or more step inputs of magnitudes to a system;
• sampling one or more outputs according to a predetermined sampling cycle in response to corresponding ones of the step inputs to the system;
• calculating presumptive maximum output values and presumptive time constants of the system according to the sampled one or more output signals and the sampling cycle;
• calculating a DC gain and a time constant of the system according to the calculated presumptive maximum output values and the presumptive time constants;
• and
• applying a pole placement method to the calculated DC gain and time constant to calculate a proportional coefficient and an integral coefficient of a controller.

A system modeling apparatus to control a system-modeling, comprising:

• a signal input part to apply one or more step inputs having different magnitudes to a system;
• a presumptive value calculation part to sample one or more outputs according to a predetermined sampling cycle in response to corresponding ones of the step inputs to the system, and to apply a least square to the sampled one or more outputs and the sampling cycle to calculate two or more presumptive maximum output values and the presumptive time constants, respectively;
• and
• a system coefficient calculation part to calculate a DC gain and a time constant of the system according to the calculated presumptive maximum output values and the presumptive time constants.

A controller designing system to perform a system modeling, comprising:

• a signal input part to apply one or more step inputs of different magnitudes to a system;
• a presumptive value calculation part to sample one or more outputs according to a predetermined sampling cycle in response to corresponding to the respective step inputs to the system, and to apply a least square to the sampled outputs and the sampling cycle to calculate two or more presumptive maximum output values and presumptive time constants, respectively;
• a system coefficient calculation part to calculate a DC gain and a time constant of the system according to the calculated presumptive maximum output values and presumptive time constants;
• and
• a controller designing part to apply a pole placement to the calculated DC gain and time constant to calculate a proportional coefficient and an integral coefficient of a controller.