Polytopic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0020.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msub></mml:math> filter design and relaxation for nonlinear systems via tensor product technique

Liu, Xiangdong; Yu, Yin; Li, Zhen; Iu, Herbert Ho-Ching

doi:10.1016/j.sigpro.2016.03.005

Cited by 29 publications

(13 citation statements)

References 29 publications

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“…Effective convex hull manipulation techniques are introduced in [35,44,45]. The application of the TP model based control can be found both in physical control systems [46][47][48][49][50][51][52][53][54][55][56][57][58][59] and it was applied in case of physiological controls as well [60][61][62][63][64][65][66]. Many other important control approaches regarding the TP model transformation have been elaborated in [56,[67][68][69][70][71][72][73][74]…”

Section: Tp Model Transformation and Controlmentioning

confidence: 99%

Tensor Product Model Transformation-based Parallel Distributed Control of Tumor Growth

Kovács

Eigner

2018

APH

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The current work investigates tumor growth control under antiangiogenic targeted molecular therapy by use of Tensor Product (TP) transformation. During the dynamics of the tumor growth we have considered that the tumor volume x 1 (t) is measurable, while due to the lack of information about the second state x 2 (t) (the inhibitor level in the serum), we have developed an appropriate Extended Kalman Filter (EKF) to estimate it. We applied different quasi Linear Parameter Varying (qLPV) models during the design of the EKF and the controller. Tensor Product model transformation method completed with Linear Matrix Inequality based optimization have been applied to design the main controller. The reference signals were generated by trajectory tracking kind control based on Inverse Dynamic Control-Proportional Derivate compensator, applied it on the "simulated" (original) model. We did not consider any state disturbance. However, we have taken into account sensor noise in accordance with the properties of the model. We have found that all of the control goals have been satisfied with the developed control framework: (i) the tumor volume was lower than 1 mm 3 at the end of the therapy; (ii) the developed models have approached each other with good accuracy; (iii) the totally injected inhibitor level was physiologically acceptable.

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Section: Tp Model Transformation and Controlmentioning

confidence: 99%

Tensor Product Model Transformation-based Parallel Distributed Control of Tumor Growth

Kovács

Eigner

2018

APH

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“…By using the INO-RNO type TP model representation [22,42], the polytopic approximation can be calculated in the following steps. Assume the parameter p(t) varies within the bounded space…”

Section: The Implementation Of Tp Model Transformationmentioning

confidence: 99%

Tensor Product Model-based Control for Spacecraft with Fuel Slosh Dynamics

2018

APH

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Large spacecrafts undertaking long-life mission greatly suffer from the nonlinear fuel slosh when altering the orbit or maneuvering, which leads to the downgrade on the performance and even stability of the body attitude control by unintentionally generating the huge disturbance thrust. In order to specifically address this solid-liquid coupling problem for a kind of spacecrafts when altering orbit, a nonlinear control method based on Tensor Product (TP) Model transformation is proposed to make a quick response control of the translational velocity vector and the attitude of the spacecraft. Based on the derived polytopic system from TP model transformation, the controller design can guarantee the robust against the uncertainties and disturbances for all system sets within the bounds. The proposed solution also offers an approximation tradeoff so that both the complexity of the TP model and the controller design can be dramatically minimized. The simulation results for spacecrafts with practical specification verify that the design method can make the spacecraft asymptotically stable and demonstrate the effectiveness of the proposed controller.

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“…In general, these materials can be treated as exhibiting linear behaviour if the strain remains small. If the strain does not exceed 1 mm, the mechanical behaviour is considered to be linearly viscoelastic [ 17 ] and is modelled reasonably well by parallel or/and serial combinations of linear springs and linear dashpots, such as the Kelvin-Voigt and Maxwell models and their variants [ 18 , 19 ]. To describe the contact behaviour of soft tissues in situations where viscous effects are substantial, Hunt and Crossley [ 20 ] argued that a model will agree better with physical intuition if the damping coefficient is dependent on relative penetration.…”

Section: Cervical Spine Modelmentioning

confidence: 99%

Cervical Spine Mechanism for Reproduction of the Biomechanical Behaviours of the Human Neck during Rotation-Traction Manipulation

Huang

Feng

et al. 2017

Applied Bionics and Biomechanics

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Rotation-traction (RT) manipulation is a commonly used physical therapy procedure in TCM (traditional Chinese medicine) for cervical spondylosis. This procedure temporarily separates the C3 and C4 cervical vertebrae from each other when a physician applies a jerky action while the neck is voluntarily turned by the patient to a specific position as instructed by the physician, where the cervical vertebrae are twisted and locked. However, a high rate of cervical injury occurs due to inexperienced physician interns who lack sufficient training. Therefore, we developed a cervical spine mechanism that imitates the dynamic behaviours of the human neck during RT manipulation. First, in vivo and in vitro experiments were performed to acquire the biomechanical feature curves of the human neck during RT manipulation. Second, a mass-spring-damper system with an electromagnetic clutch was designed to emulate the entire dynamic response of the human neck. In this system, a spring is designed as rectilinear and nonlinear to capture the viscoelasticity of soft tissues, and an electromagnetic clutch is used to simulate the sudden disengagement of the cervical vertebrae. Test results show that the mechanism can exhibit the desired behaviour when RT manipulation is applied in the same manner as on humans.

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Polytopic H∞ filter design and relaxation for nonlinear systems via tensor product technique

Cited by 29 publications

References 29 publications

Tensor Product Model Transformation-based Parallel Distributed Control of Tumor Growth

Tensor Product Model Transformation-based Parallel Distributed Control of Tumor Growth

Tensor Product Model-based Control for Spacecraft with Fuel Slosh Dynamics

Cervical Spine Mechanism for Reproduction of the Biomechanical Behaviours of the Human Neck during Rotation-Traction Manipulation

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