Simulation, Model Predictive Control, Linear Systems, Non-Minimum Phase Systems, TITO Systems

In this paper, a simulation of predictive control of a two-input two-output (TITO) system with non-minimum phase is presented. The proposed controller is based on extended setting of constraints. This setting represents a modification for purposes of control of non-minimum phase multivariable systems. The main problem of control of this particular type of system is undesirable undershoot in the initial phase of the control. Known methods can properly reduce the undershoot in case of predictive control of single-input single-output (SISO) systems. The paper proposes a modification of a predictive controller for two-input two-output systems with non-minimum phase behaviour. The non-minimum phase TITO models are simulated using its mathematical representation in the form of transfer function matrix.

In this paper, a simulation of predictive control of a two-input two-output (TITO) system with non-minimum phase is presented. The proposed controller is based on extended setting of constraints. This setting represents a modification for purposes of control of non-minimum phase multivariable systems. The main problem of control of this particular type of system is undesirable undershoot in the initial phase of the control. Known methods can properly reduce the undershoot in case of predictive control of single-input single-output (SISO) systems. The paper proposes a modification of a predictive controller for two-input two-output systems with non-minimum phase behaviour. The non-minimum phase TITO models are simulated using its mathematical representation in the form of transfer function matrix.