Abstract
In this study a novel structure for time-delay MIMO systems controller design is introduced. In this method decoupled Smith predictor (SP) controller is designed using Internal Model Control structure (IMC). In order to approximate decoupled system, step response model approximation is employed and simulated on MIMO multiple time-delay system. Moreover, to improve system performance from overshoot and rise time perspective, Smith predictor controller is combined with PI+CI structure. Furthermore, to increase system robustness, a low pass filter is designed. Afterwards, the proposed structure is applied to the model of a time-delay MIMO distillation tower system and obtained results are compared to those of a PID controller. Finally, performance of different design methods is evaluated using Integral error criterion (Integral Square Error criterion).
Highlights
Time delay is common in most of industrial processes
Output response in PID controller has 30% overshoot and 85s settling time; output response of Smith predictor controller has no overshoot and its settling time is less than PID controller
Adding PI+Clegg Integral (CI) structure it achieves faster responses comparing to its rivals
Summary
Time delay is common in most of industrial processes. It basically results from information, mass and energy transfer phenomena which are known as groups of time delays in simple connected dynamic systems. PI+CI structure with Smith predictor control is designed for time-delay first order system [5]. This method is not simulated for MIMO systems. Smith predictor controller is designed using internal model control structure. This structure is applied to a distillation tower system. Comparing simulation results to PID controller, the potential of this hybrid structure for improving performance indices of MIMO systems is discovered. It is a combination of both Internal Model Control structure (figure 2) and Smith predictor structure (figure 3) and takes advantage of these two structures simultaneously
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