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- 저자 : Sean S. M. Swei (검색결과 2 건)
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Smooth Switching LPV Dynamic Output-feedback Control
Tianyi He,Guoming G. Zhu,Sean S.-M. Swei 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.6
In this paper, we present an innovative design of smooth-switching LPV (Linear Parameter-Varying) dynamic output-feedback (DOF) controllers. For a given partition of scheduling parameter region, a family of LPV controllers are designed simultaneously with guaranteed system performance on each subregion and switching smoothness between adjacent subregions. The proposed control design, called smooth-switching mixed Input Covariance Constraint (ICC) and H∞ LPV control design, minimizes a combined cost of system output H2 performance and smooth-switching index subject to H2 constraints on control inputs and H∞ performance constraint. These stability and performance criteria are then formulated into a set of Parametric Linear Matrix Inequalities (PLMIs). In addition, a tunable coefficient is introduced in cost function to provide an optimal trade-off between system H2 performance and switching smoothness, and therefore, the corresponding optimal LPV controllers can be derived iteratively by convex optimization. For illustration, an active magnetic bearing (AMB) example is used to show the effectiveness of the proposed simultaneous design approach by demonstrating significantly improved switching smoothness and an optimal trade-off between achievable output performance and switching smoothness.
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A Sequential Design Approach for Switching H∞ LPV Control
Tianyi He,Guoming G. Zhu,Sean S. M. Swei 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.10
This paper proposes a sequential design scheme for switching H∞ LPV (Linear Parameter-Varying) control, aiming to reduce the computational complexity of the associated optimization problem. Different from the traditional approach that simultaneously designs switching LPV controllers and solves a high-dimensional optimization problem, the proposed sequential design approach renders a bundle of low-dimensional optimizationproblems to be solved iteratively. Individual H∞ LPV controller for each subregion is synthesized by independent PLMIs (Parametric Linear Matrix Inequalities) to guarantee H∞ performance, and controller variables are interpolated on the overlapped subregions such that the H∞ performance is also guaranteed on the overlapped subregion. Numerical examples are used to demonstrate the effectiveness of this method to reduce the computational load in each design iteration and improved H∞ performance over the conventional simultaneous design method with well-tuned interpolation coefficient.
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