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Optimal Wiener-Hopf Decoupling Controller Formula for State-space Algorithms
Kiheon Park,Jin-Geol Kim 대한전기학회 2007 International Journal of Control, Automation, and Vol.5 No.4
In this paper, an optimal Wiener-Hopf decoupling controller formula is obtained which is expressed in terms of rational matrices, thereby readily allowing the use of state-space algorithms. To this end, the characterization formula for the class of all realizable decoupling controller is formulated in terms of rational functions. The class of all stabilizing and decoupling controllers is parametrized via the free diagonal matrices and the optimal decoupling controller is determined from these free matrices.
H<sub>2</sub> Design of Decoupled Control Systems Based on Directional Interpolations
Park, Kiheon,Kim, Jin-Geol The Korean Institute of Electrical Engineers 2013 Journal of Electrical Engineering & Technology Vol.8 No.6
$H_2$ design of decoupled control systems is treated in the generalized plant model. The existence condition of a decoupling controller is stated and a parameterized form of all achievable decoupled closed loop transfer matrices is presented by using the directional interpolation approaches under the assumption of simple transmission zeros. The class of all decoupling controllers that yield finite cost function is obtained as a parameterized form and an illustrative example to find the optimal controller is provided.
Kiheon Park,Goon-Ho Choi 대한전기학회 2011 Journal of Electrical Engineering & Technology Vol.6 No.5
Necessary and sufficient conditions for the existence of diagonal, block-diagonal, and triangular decoupling controllers in linear multivariable systems for the most general setting are presented. The plant model in this study is sufficiently general to accommodate non-square plant and non-unity feedback cases with one-degree-of-freedom (1DOF) or two-degree-of-freedom (2DOF) controller configuration. The existence condition is described in terms of rank conditions on the coefficient matrices in partial fraction expansions.
H₂ Design of Decoupled Control Systems Based on Directional Interpolations
Kiheon Park,Jin-Geol Kim 대한전기학회 2013 Journal of Electrical Engineering & Technology Vol.8 No.6
H₂design of decoupled control systems is treated in the generalized plant model. The existence condition of a decoupling controller is stated and a parameterized form of all achievable decoupled closed loop transfer matrices is presented by using the directional interpolation approaches under the assumption of simple transmission zeros. The class of all decoupling controllers that yield finite cost function is obtained as a parameterized form and an illustrative example to find the optimal controller is provided.
Sliding Mode Control Based on Pole-Placement Method for Position Control of Linear Stage
TaeDong, Park,kiheon, Park 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
The sliding mode control method is one of the robust control techniques and a particular type of variable structure control. Sliding mode control can change the system performance on the switching surface. In this paper, a sliding surface design method using the pole-placement method for the sliding mode control and then experimentally analyzes the advantage to this method when used in a linear position system. Also, this control input with chattering behavior is not acceptable for systems intended to control electric motors and power converters. One possible solution in this paper is to make use of the sigmoid-like function instead of signum function.