Output Feedback Control of Discrete-time LTI Systems: Scaling LMI Approaches

Xu, Jun

doi:10.5772/15247

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…In fact, there are a lot of existing works addressing this problem, and various methods have been proposed, e.g., Riccati equation approach, rankconstrained condition, approach based on structural properties, bilinear matrix inequality (BMI) approaches, min-max optimization techniques, and linear matrix inequality approaches [28,29]. Among them, the LMI approaches are much more efficient in dealing with synthesis problems [30][31][32], thus many results have also been obtained. In addition, the survey on the development of static output feedback can be found in [33].…”

Section: Resultsmentioning

confidence: 99%

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Robustness of proper dynamic output feedback for discrete-time singularly perturbed systems

Liu

Wang

2017

Adv Differ Equ

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In this paper, the dynamic output feedback control problem of discrete-time singularly perturbed systems is considered based on the reduced-order technique. We first show that a proper but not strictly proper dynamic output feedback controller designed for the reduced-order model generally is not a stabilizing compensator for the original system, even though the fast subsystem is stable. To obtain the robustness of the dynamic output feedback controller, an auxiliary system is designed. Based on this, the design of the dynamic output feedback for the reduced-order subsystem is reduced to the simultaneous design of a static output feedback controller for the fast subsystem and a strictly proper dynamic output feedback controller for the auxiliary system, respectively. Based on the obtained results, we confirm that it is possible to generate the robustness for the proposed dynamic output feedback control. Thus, the restriction on the strict properness can be alleviated. Finally, a realistic practical example for the nuclear reactor model is provided to show the effectiveness of the obtained theoretical results.

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Section: Resultsmentioning

confidence: 99%

“…First, by resorting to Theorem 1 in [32], the static output feedback controller gain matrix for the fast subsystem is obtained as H = -0.017.…”

Section: A Numerical Examplementioning

confidence: 99%

Robustness of proper dynamic output feedback for discrete-time singularly perturbed systems

Liu

Wang

2017

Adv Differ Equ

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“…The incremental form of (37) is , C e = C 0 0 1×na 1 Thus, the SOFIC law (4) is converted into a static output feedback (SOF) control strategy for augmented system (39). Various approaches for designing SOF controllers have been reported in recent years (see [33][34][35][36] and the references therein), which can be used to design the parameters K 1 and K 2 .…”

Section: Remarkmentioning

confidence: 99%