A New Internal Model Control Method for MIMO Over-Actuated Systems

Abstract

Abstract-A new design method internal model control is proposed for multivariable over-actuated processes that are often encountered in complicated industrial processes.Due to the matrix that is adopted to describe over-actuated system is not square, many classical multivariable control methods can be hardly applied in such system. In this paper, based on method of virtual outputs, a new internal model control method is proposed.The proposed method is applied to shell standard control problem (3 inputs and 2 outputs). The simulation results show that the robust controller can keep the set inputs without overshoot, steady state error, input tracking performance and disturbance rejection performance, the results are satisfactory have proved the effectiveness and reliability of the proposed method. Keywords-internal model control (IMC); over-actuated multivariable system; inverse model; method of virtual outputs; disturbances rejections, stability; state error

Internal Model Control of Discrete Non-Minimum Phase Over-Actuated Systems with Multiple Time Delays and Uncertain Parameters

“…Once the virtual outputs technique is applied, we need now to modify the basic IMC structure previously mentioned in Figure 1, so that it becomes applicable to overactuated systems. The modified IMC structure presented in Figure 2 is characterized by two more blocks [20], [21]. The first added one present the Augmentation Virtual Outputs AVO(z) block which is used to augment the model outputs inserting virtual (( ) ) m n m lines to the transfer matrix of the rectangular process model in order to make it of dimension (m×n) , so that it can be inverted.…”

“…The first added one present the Augmentation Virtual Outputs AVO(z) block which is used to augment the model outputs inserting virtual (( ) ) m n m lines to the transfer matrix of the rectangular process model in order to make it of dimension (m×n) , so that it can be inverted. The second added one is the Removing Virtual Outputs RVO (z) block which is used to eliminate the exceeding virtual outputs by means of the usual logical operators [21]. G(z) is a process with 'm' inputs and 'n' outputs (m〉n)…”

Comparative Study of PMSG Controllers for Variable Wind Turbine Power Optimization

“…5. c) It is highly sensitive to model errors In this case and by using the inversion method proposed in [11] which is based on the gain, we achieved an inverse model of the plant model. The IMC controller is given as follows as Fig.…”

“…Referring to [11], [12], [13] to ensure the stability of the structure proposed, the choice of the gain A must satisfy the condition that the roots of the characteristic equation have negative real parts. The IMC structure can be modified to get a standard feedback control system as shown in Fig.…”

“…guarantees the stability of the system for the open loop stable plant. The internal model is perfect, G(s)=M(s) and the closed-loop system is stable if M(s), G(s) and C(s) are stable[11]. Then, in an ideal internal model control is presented as C(s)=M -1 (s).…”