Model Predictive Control Design for SISO LTI system subjected to bounded constraints
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Abstract
In this paper Model Predictive Control (MPC)for SISO LTI system is considered. MPC emanates from
dynamicoptimisation where a dynamical system is controlled while minimising the associated performance index and
satisfying all the constraints.Using current measurement of states (if all states are available for measurement elsestate
observer is used) a predicted plant model is obtained on a prediction horizon (N) and using this predicted plant model
we get the predicted performance index which is minimized to get a future control sequence. The first component of the
control sequence is used while rest gets discarded and the at the next instance the whole process is repeated. In this
paper a LTI SISO system is subjected to constraints on both input and output is considered. Simulation results verify the
efficacy of the designed algorithm.
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