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Boundary Control and Observation of ...
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Karagiannis, Dimitri A.
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Boundary Control and Observation of Continuous Beam Systems.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Boundary Control and Observation of Continuous Beam Systems./
作者:
Karagiannis, Dimitri A.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2018,
面頁冊數:
240 p.
附註:
Source: Dissertation Abstracts International, Volume: 79-09(E), Section: B.
Contained By:
Dissertation Abstracts International79-09B(E).
標題:
Mechanical engineering. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10809744
ISBN:
9780355911367
Boundary Control and Observation of Continuous Beam Systems.
Karagiannis, Dimitri A.
Boundary Control and Observation of Continuous Beam Systems.
- Ann Arbor : ProQuest Dissertations & Theses, 2018 - 240 p.
Source: Dissertation Abstracts International, Volume: 79-09(E), Section: B.
Thesis (Ph.D.)--Villanova University, 2018.
The developments contained in this dissertation address the problem of continuous boundary control and observation of vibration in beams modeled by the Euler-Bernoulli partial differential equation (PDE), with robustness to unknown boundary disturbances or uncertainty. Many familiar real world systems can be modeled as beams (aircraft wings, bridges, robotic arms, etc.), and traditionally vibration controllers for such systems are developed using discretized models. However such models necessarily truncate the higher order dynamics of continuous systems, and discrete model controllers can therefore experience failure as a result. Continuous or infinite dimensional control schemes circumvent this problem by controlling the full continuous system rather than a finite dimensional approximation, and therefore account for the full dynamic spectrum.
ISBN: 9780355911367Subjects--Topical Terms:
649730
Mechanical engineering.
Boundary Control and Observation of Continuous Beam Systems.
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The developments contained in this dissertation address the problem of continuous boundary control and observation of vibration in beams modeled by the Euler-Bernoulli partial differential equation (PDE), with robustness to unknown boundary disturbances or uncertainty. Many familiar real world systems can be modeled as beams (aircraft wings, bridges, robotic arms, etc.), and traditionally vibration controllers for such systems are developed using discretized models. However such models necessarily truncate the higher order dynamics of continuous systems, and discrete model controllers can therefore experience failure as a result. Continuous or infinite dimensional control schemes circumvent this problem by controlling the full continuous system rather than a finite dimensional approximation, and therefore account for the full dynamic spectrum.
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The idea of boundary control in general is to restrict all control inputs to the system boundary. It is desirable from a practical perspective because if actuators are located strictly on the edges of a physical system, they do not interfere with the dynamics along the domain in unintended ways. For this reason the presented research uses boundary control methods only. A further practical concern is that the system connects to the outside world through the boundaries, and therefore is likely to experience unmodeled disturbances through them. It is also reasonable to expect that the actuators themselves introduce further disturbances through the system boundaries due to model uncertainties or other factors. Therefore much of the research in this dissertation addresses the potential for such disturbances and develops control laws that are robust to boundary uncertainties.
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While the field of beam vibration control has been studied for decades, and the emerging field of infinite dimensional control has produced many powerful results, the control of fourth order beam models by continuous methods has seen limited attention compared to lower order models such as the heat, wave, and Schrodinger equations. This dissertation helps expand the developing field of continuous control and robust control to cover the Euler-Bernoulli model with several types of boundary conditions, including the practically important case of a cantilevered beam.
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This dissertation also addresses the problem of boundary observation, a necessary counterpart to the boundary control techniques developed due to their reliance on full-state feedback knowledge. Boundary observers estimate the full system states using only measurable feedback information from a single boundary. While observation is important for the implementation of control design, it can also be of critical importance for diagnostics and system health monitoring purposes.
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The advancements described in this dissertation are split into four parts. The first takes an existing continuous boundary controller and applies robustness to the method using a sliding mode approach. The second redevelops the procedure to improve the outcome of the first, and further generalizes it to cover a class of boundary conditions. The next part develops a new backstepping control procedure for a cantilever beam, which cannot be otherwise controlled using the procedures developed in the first two parts. The final part develops a continuous boundary observer for an Euler-Bernoulli beam.
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