Deadbeat Control of Linear and Non Linear System using Signal Correction Technique

Soumen Paul, Asim Halder, Asoke Kumar Nath

Abstract


This work presents the deadbeat control technique to mitigate transient oscillations of both linear time invariant (LTI) and nonlinear continuous system based on Signal Correction Technique (SCT). In SCT a suitable corrected signal is generated and incorporated along with a reference input to the system through the feedback loop. It is pointed out that in some applications, such as biological control systems, it may not always be possible to incorporate a controller inside the system. This technique may be very much useful in realizing the transient performance of a system with SCT based deadbeat control where either incorporation of any controller within the system or processing of the input command is not permitted. The deadbeat representation with state space equations is demonstrated with some examples of higher order systems with the reference input as step, ramp and any linear type input. The SCT technique, which is considered in this work, can be applied to any higher order linear, nonlinear system for deadbeat realization without restriction of system parameters and experimental data as long as system is stable. In case of nonlinear system, the model of Inverted Pendulum is selected in the aspect of nonlinear control theory, with an emphasis on feedback linearization.  

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