Covariance matrix adaptation evolution strategy based design of fixed structure robust H∞ loop shaping controller

Kadhar, K. Mohaideen Abdul; Baskar, S.

doi:10.1016/j.asoc.2015.05.022

Cited by 8 publications

(3 citation statements)

References 39 publications

(89 reference statements)

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“…In addition, the final controller is configured of weighting functions and a stabilizing controller, which again results in a high order. A number of solutions to this problem were proposed such as reduced‐order controller design and low‐order design for stabilizing controllers . In literature, free parameters of H ∞ controller are selected so as to design low‐order controllers without sacrificing performance.…”

Section: Introductionmentioning

confidence: 99%

“…In literature, free parameters of H ∞ controller are selected so as to design low‐order controllers without sacrificing performance. With methods proposed in literature, a stabilizing controller structure of arbitrary order is specified, and stabilizing controllers are designed through numerical optimization or heuristic search.…”

Section: Introductionmentioning

confidence: 99%

“…A number of solutions to this problem were proposed such as reduced-order controller design 9 and low-order design for stabilizing controllers. 10,11 In literature, 9 free parameters of H ∞ controller are selected so as to design low-order controllers without sacrificing performance. With methods proposed in literature, 10,11 a stabilizing controller structure of arbitrary order is specified, and stabilizing controllers are designed through numerical optimization or heuristic search.…”

Section: Introductionmentioning

confidence: 99%

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Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems

Usami

Yubai

Yashiro

et al. 2018

Electrical Engineering Japan

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Robust control is often applied to systems with uncertainties and disturbances. Above all, the H∞ loop shaping method is known to achieve good control performance and robustness. In this method, the final controller consists of weighting functions and a stabilizing controller. The stabilizing controller is derived for the shaped plant to suppress the H∞ norm of the transfer matrix consisting of a sensitivity function, a complementary sensitivity function, and so on. In addition, the stabilizing controller improves robust stability margin while keeping gain characteristic of the shaped plant if weighting functions are suitable. As a result, the closed‐loop system is well‐balanced between good tracking and robustness. However, a final controller tends to be high‐order. For this problem, reduction techniques are often applied to the final controller. In this case, performance and stability is not always adequately evaluated due to errors by the controller reduction. This paper proposes a fully parameterized fixed‐order controller design method using frequency responses of the plant. We formulate a design problem for multi‐input–multi‐output systems as an optimization problem. Therefore, we can directly design a low‐order controller from frequency responses using the iterative LMI optimization. Accordingly, we can avoid to deteriorate the evaluation of performance and stability.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems

Usami

Yubai

Yashiro

et al. 2018

Electrical Engineering Japan

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Evolutionary Algorithm Based Robust Fixed Structure Controller for pH in Sodium Chlorate Process

Sreepriya

Kallingal

Vinila

2019

Advances in Intelligent Systems and Computing

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Constrained population extremal optimization-based robust load frequency control of multi-area interconnected power system

Zhou

Zeng

et al. 2019

International Journal of Electrical Power & Energy Systems

165

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Covariance matrix adaptation evolution strategy based design of fixed structure robust H∞ loop shaping controller

Cited by 8 publications

References 39 publications

Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems

Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems

Evolutionary Algorithm Based Robust Fixed Structure Controller for pH in Sodium Chlorate Process

Constrained population extremal optimization-based robust load frequency control of multi-area interconnected power system

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Covariance matrix adaptation evolution strategy based design of fixed structure robust H∞ loop shaping controller

Cited by 8 publications

References 39 publications

Fully parameterized fixed‐order controller design for H∞ loop shaping method using frequency responses—extension to MIMO systems

Fully parameterized fixed‐order controller design for H∞ loop shaping method using frequency responses—extension to MIMO systems

Evolutionary Algorithm Based Robust Fixed Structure Controller for pH in Sodium Chlorate Process

Constrained population extremal optimization-based robust load frequency control of multi-area interconnected power system

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Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems

Fully parameterized fixed‐order controller design for H_∞ loop shaping method using frequency responses—extension to MIMO systems