Design of Low Order Robust Controllers for a VSC HVDC Power Plant Terminal

Durrant, Martyn; Werner, Herbert; Abbott, K.

doi:10.3166/ejc.13.366-381

Cited by 4 publications

(5 citation statements)

References 13 publications

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“…In addition, overshoot, settling time, rise time, and undershoot are also observed to decrease. With regard to the control law given in (22), the overshoot is observed to decrease when the parameter M o is increased, as shown in Figure 18, and increasing this parameter is found to cause a decrease in the rising time.…”

Section: Resultsmentioning

confidence: 92%

“…First, the control law given in (18) is used with the values for the tuning parameters k o and Á equal to 1. It can be clearly observed that when the control law given in (22) is applied using the same boundary layer for k o and M o equal to 1, the settling time, rise time, and overshoot is reduced, whereas the undershoot is increased. Furthermore, the boundary layer and the magnitude of the control law are reduced when the value of k o and Á is equal to 0.5 and 0.1, respectively.…”

Section: Resultsmentioning

confidence: 98%

“…Thus, the suitable value for the parameter˛used to trade-off the rise time against undershoot is 1.5. Figure 17 shows the response of the nominal system (medium stiffness) using two different control laws given in (18) and (22) with different tuning parameters.…”

Section: Resultsmentioning

confidence: 99%

“…By neglecting A u12 , the dynamic part of (6) can be written in LFT form as follows: The singular value decomposition method given in [20] can be used to determine B 1 w11 and C 1 w11 such that k 11 k 1 < 1 for all operating points of the reduced-order system. When A u12 is not neglected, the system in (6) can be decomposed into a more general LFT from as [21,22]…”

Section: Robust H 2 Sliding Hyperplanementioning

confidence: 99%

“…The singular value decomposition method given in can be used to determine

B_{w 11}^{MathClass-rel\infty}

and

C_{w 11}^{MathClass-rel\infty}

such that ‖Δ 11 ‖ ∞ < 1 for all operating points of the reduced‐order system. When A u 12 is not neglected, the system in can be decomposed into a more general LFT from as

\overset{x_{1}}{true} MathClass-rel= (A_{11} MathClass-bin+ B_{wr}^{MathClass-rel\infty} Δ_{1} C_{zr}^{MathClass-rel\infty}) x_{1} MathClass-bin+ (A_{12} MathClass-bin+ B_{wr}^{MathClass-rel\infty} Δ_{1} D_{zur}^{MathClass-rel\infty}) x_{2} MathClass-punc.

…”

Section: Robust H2 Sliding Hyperplanementioning

confidence: 99%

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Mixed H₂/H_∞ robust output feedback sliding mode control

Juma

Werner

2011

Optim Control Appl Methods

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SUMMARYThis paper presents an output feedback sliding mode control scheme for uncertain dynamical systems. The design problem is solved in two steps, involving first a state feedback and then an output feedback problem. First, using the null space dynamics, the sliding surface for the unmatched uncertainty is designed. Then, by tuning the sliding surface, a robust controller is constructed for the whole uncertainty; this problem takes the form of static-output feedback. Based on this, a dynamic output feedback controller for the system augmented with the sliding surface is designed. The synthesis involves the solution of an Linear Matrix Inequality (LMI) and Bilinear Matrix Inequality (BMI) problem; the BMI problem is solved iteratively. The proposed approach is illustrated by applying it to a well-known robust benchmark problem and also experimentally on a spring mass system with variable stiffness. Simulation and experimental results show that the proposed method outperforms previous approaches in terms of robust performance.

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Section: Resultsmentioning

confidence: 92%

Section: Resultsmentioning

confidence: 98%

Section: Resultsmentioning

confidence: 99%

Section: Robust H 2 Sliding Hyperplanementioning

confidence: 99%

“…The singular value decomposition method given in can be used to determine

B_{w 11}^{MathClass-rel\infty}

and

C_{w 11}^{MathClass-rel\infty}

such that ‖Δ 11 ‖ ∞ < 1 for all operating points of the reduced‐order system. When A u 12 is not neglected, the system in can be decomposed into a more general LFT from as