H(2)/H9(infinity) controller design for a two-dimensional thin airfoil flutter suppression

Özbay, Hitay; Bachmann, G.

doi:10.2514/3.21260

Cited by 26 publications

(13 citation statements)

References 10 publications

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“…. Finally, the format of ( 40) is achieved after embedding the variable transformation in the matrix 𝐻, given by (41). Once the quadratic optimization problem ( 40) is solved, the design matrices (53)-( 55) are obtained by applying a reshape in elements from ž, which is an inverse procedure to vectorization.…”

Section: By Assuming That the Center Deviation 𝑐 Xmentioning

confidence: 99%

“…■ Remark 5. Given 𝐻 in (41), the convexity of the quadratic problem presented in Theorem 1 relies on P (42) being positive definite. To achieve that, a sufficient condition is that generator and covariance matrices of noises 𝑤 𝑘−1 , 𝑣 𝑘−1 , and 𝑣 𝑘 have full rank.…”

Section: By Assuming That the Center Deviation 𝑐 Xmentioning

confidence: 99%

“…It means that the weighted-sum approach is not suitable to scale the biobjective optimization problem. Commonly, this type of problem is solved using the epsilon-constraint or minimum-distance approach 40,41,42 . Furthermore, an iterative process on the upper bound of the square H ∞ norm can be performed to adjust the final solution.…”

Section: Estimator Designmentioning

confidence: 99%

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State Estimators for Discrete-Time Descriptor Linear Systems with Mixed Uncertainties and State Constraints

Paula

Raffo

Teixeira

2023

Preprint

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This paper presents two novel mixed-uncertainty state estimators for discrete-time descriptor linear systems, namely linear time-varying mixed-uncertainty filter (LTVMF) and linear time-invariant mixed-uncertainty filter (LTIMF). The former estimator is based on the minimum-variance approach, from which quadratic and explicit formulations are derived and addressed to LTI and LTV systems. Both formulations incorporate the knowledge of state linear constraints, such as equality (in the descriptor form) and inequality, to mitigate precision and accuracy issues related to initialization and evolution of the state estimates. The explicit version is developed to reduce the computational burden of quadratic solvers, which is based on a particularity of the state inequality constraints. The LTIMF algorithm is based on the mixed H 2 / H ∞ criterion motivated by performing low-cost computations. This speed benefit is originated from a reachability analysis involving constant design matrices. Both LTVMF and LTIMF algorithms solve state-estimation problems in which the uncertainties are combined to yield the so-called mixed-uncertainty vector, which is composed by set-bounded uncertainties, characterized by constrained zonotopes, and stochastic uncertainties, characterized by Gaussian random vectors. As mixed-uncertainty vectors imply biobjective optimization problems, we innovatively present multiobjective arguments to justify the choice of the solution on the Pareto-optimal front. According to these arguments, LTVMF is introduced with a cost normalization, which enables the combination of beyond minimum-variance approaches. Likewise, the mixed H 2 / H ∞ criterion of LTIMF is introduced with slack variables to improve the quality of the state estimates. In order to discuss the advantages and drawbacks, the state estimators are tested in two numerical examples.

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Section: By Assuming That the Center Deviation 𝑐 Xmentioning

confidence: 99%

Section: By Assuming That the Center Deviation 𝑐 Xmentioning

confidence: 99%

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State Estimators for Discrete-Time Descriptor Linear Systems with Mixed Uncertainties and State Constraints

Paula

Raffo

Teixeira

2023

Preprint

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“…, ( ) t u is the control input (for a 3-DOF, for example, a torque applied at the flap [21]). The unsteady aerodynamic loads are represented by…”

Section: Analytical Developmentsmentioning

confidence: 99%

Nonlinear Time Delayed Feedback Control of Aeroelastic Systems: A Functional Approach

Marzocca¹,

Librescu²,

Silva³

2003

44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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In addition to its intrinsic practical importance, nonlinear time delayed feedback control applied to lifting surfaces can result in interesting aeroelastic behaviors. In this paper, nonlinear aeroelastic response to external time-dependent loads and stability boundary for actively controlled lifting surfaces, in an incompressible flow field, are considered. The structural model and the unsteady aerodynamics are considered linear. The implications of the presence of time delays in the linear/nonlinear feedback control and of geometrical parameters on the aeroelasticity of lifting surfaces are analyzed and conclusions on their implications are highlighted.

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“…• A técnica de controle robusto H 2 /H ∞ misto [60], onde se tem uma combinação da técnica H 2 com a técnica H ∞ .…”

Section: Estruturas Flexíveisunclassified

Sintese de controladores H 'Infinito' de ordem reduzida com aplicação no controle ativo de estruturas flexiveis

Sarracini¹

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Gostaria de agradecer inicialmente ao meu orientador Prof. Dr. Alberto Luiz Serpa pela confiança, paciência e por ter compartilhado comigo seu conhecimento. Agradeço aos meus pais, minhas irmãs e meus avós, os quais deram todo o apoio necessário para que eu chegasse até aqui. Gostaria também de agradecer a minha namorada Karin por ter compreendido a importância deste projeto para mim e sempre ter me motivado a seguir em frente. Manifesto também meus sinceros agradecimentos aos professores e amigos do Departamento de Mecânica Computacional da Faculdade de Engenharia Mecânica da UNICAMP pelas discussões acerca dos problemas enfretados no decorrer deste trabalho. "...tudo isso que eu consegui foi através de dedicação, perseverança e muito desejo de atingir meus objetivos... muito desejo de vitória... vitória na vida... não vitória como piloto... e a vocês todos que assistirem... eu digo que... seja quem você for... seja qualquer posição que você tenha na vida... do nível social altíssimo ao mais baixo... tenha sempre como meta muita força... muita determinação... e sempre faça tudo com muito amor e com muita fé em Deus... que um dia você chega lá... de alguma maneira você chega lá..."

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H(2)/H9(infinity) controller design for a two-dimensional thin airfoil flutter suppression

Cited by 26 publications

References 10 publications

State Estimators for Discrete-Time Descriptor Linear Systems with Mixed Uncertainties and State Constraints

State Estimators for Discrete-Time Descriptor Linear Systems with Mixed Uncertainties and State Constraints

Nonlinear Time Delayed Feedback Control of Aeroelastic Systems: A Functional Approach

Sintese de controladores H 'Infinito' de ordem reduzida com aplicação no controle ativo de estruturas flexiveis

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