Fixed structure robust 2DOF H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; loop shaping control for ACMC buck converter using genetic algorithm

Phurahong, Nuttapon; Kaitwanidvilai, Somyot

doi:10.1109/ecticon.2012.6254367

Cited by 10 publications

(7 citation statements)

References 6 publications

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“…Besides, initial solutions 0 , 0 are set as a stable [3] = [ 23. 2 1 ] initial controller to stabilize closed-loop system; three initial solutions { 0 [1] , 0 [1] }, { 0 [2] , 0 [2] }, { 0 [3] , 0 [3] } are specified in Table 1. No special consideration is given to evaluation value 0 when using initial controllers.…”

Section: Experimental Conditionsmentioning

confidence: 99%

“…With H ∞ loop shaping, controller design is divided into design of weighting functions to determine performance, and derivation of system stabilizing controllers; as long as weighting functions are properly designed, sufficient performance and robustness of closed‐loop system are guaranteed. Since robust controllers can be designed with relative ease, this method is widely employed for ultra‐precise positioning in machine tools, converter control, vibration control of flexible beams, and so on. Particularly, systems balanced against disturbances at input/output terminals can be built, which makes this method popular not only for single‐input–single‐output (SISO) systems but also for multi‐input–multi‐output (MIMO) systems such as helicopter control and power system control .…”

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: Experimental Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…In [14], an interesting application of an enhanced H-infinity loop shaping design controller for an industrial motion system is evinced taking into account the performance and robustness requirements. Finally, in [15], a fixed structure 2DOF H-infinity loop shaping controller for an active current mode converter is shown, considering that a genetic algorithm is used for the loop shaping controller design. This loop shaping 2DOF controller consists of adding an extra degree of freedom to the controller to track the system's reference or setpoint along with the tracking of a disturbance input.…”

Section: Introductionmentioning

confidence: 99%

Robust H∞ Loop Shaping Controller Synthesis for SISO Systems by Complex Modular Functions

Azar

Serrano

Kamal

2021

MCA

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In this paper, a loop shaping controller design methodology for single input and a single output (SISO) system is proposed. The theoretical background for this approach is based on complex elliptic functions which allow a flexible design of a SISO controller considering that elliptic functions have a double periodicity. The gain and phase margins of the closed-loop system can be selected appropriately with this new loop shaping design procedure. The loop shaping design methodology consists of implementing suitable filters to obtain a desired frequency response of the closed-loop system by selecting appropriate poles and zeros by the Abel theorem that are fundamental in the theory of the elliptic functions. The elliptic function properties are implemented to facilitate the loop shaping controller design along with their fundamental background and contributions from the complex analysis that are very useful in the automatic control field. Finally, apart from the filter design, a PID controller loop shaping synthesis is proposed implementing a similar design procedure as the first part of this study.

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“…Although the robust 2DOF robust loop‐shaping technique can effect a robust and high‐performance controller , the resulting controller has a high order, which is not suitable for implementation. Fixed‐structure robust loop‐shaping control is able to solve this issue by adding the constraint of the controller structure to the controller design.…”

Section: Introductionmentioning

confidence: 99%

Robust 2DOF fuzzy gain scheduling control for DC servo speed controller

Chitsanga

Kaitwanidvilai

2016

IEEJ Transactions Elec Engng

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This paper proposes a new design method called "robust 2DOF fuzzy gain scheduling control" for a DC servo speed control system. The proposed technique utilizes the basic concept of 2DOF robust loop shaping, whose time-domain specifications are combined during the controller design using a reference model. In addition, the local controllers are fixed-structure robust controllers whose structure can be specified as for a simple controller. A fuzzy approach is adopted in both system identification process and global control structure to accomplish an entirely robust system. Although the design of robust control in a fuzzy system is not easy, genetic algorithms (GAs) simplify the control design problem to design the fuzzy controller such that the average stability margin is minimized. Implementation of a DC servo speed control was adopted to investigate the effectiveness of the proposed controller. As seen from the results, the proposed controller has more robust performance and can be adopted in applications with a wide operating range.Somyot Kaitwanidvilai (Non-member) received the B.Eng. and M.Eng. degrees in electrical engineering, both from KMITL, in 1996 and 2000, respectively, and the D.Eng. degree in mechatronics engineering from AIT in 2005. Currently he is an Associate Professor with the Department of Electrical Engineering, KMITL. His research interests include power electronics, artificial intelligence in power electronics, power system applications, robust and adaptive control, neural network and fuzzy logic control, and mechatronics.

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Fixed structure robust 2DOF H<inf>∞</inf> loop shaping control for ACMC buck converter using genetic algorithm

Cited by 10 publications

References 6 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

Robust H∞ Loop Shaping Controller Synthesis for SISO Systems by Complex Modular Functions

Robust 2DOF fuzzy gain scheduling control for DC servo speed controller

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Fixed structure robust 2DOF H<inf>&#x221E;</inf> loop shaping control for ACMC buck converter using genetic algorithm

Cited by 10 publications

References 6 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

Robust H∞ Loop Shaping Controller Synthesis for SISO Systems by Complex Modular Functions

Robust 2DOF fuzzy gain scheduling control for DC servo speed controller

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Product

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Fixed structure robust 2DOF H<inf>∞</inf> loop shaping control for ACMC buck converter using genetic algorithm

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