New results in subspace-stabilization control theory.
Johnson, C.D. (2000)
Mathematical Problems in Engineering
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Johnson, C.D. (2000)
Mathematical Problems in Engineering
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Iwasaki, Tetsuya, Meinsma, Gjerrit, Fu, Minyue (2000)
Mathematical Problems in Engineering
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Chutiphon Pukdeboon (2018)
Kybernetika
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This paper presents a novel robust optimal control approach for attitude stabilization of a flexible spacecraft in the presence of external disturbances. An optimal control law is formulated by using concepts of inverse optimal control, proportional-integral-derivative control and a control Lyapunov function. A modified extended state observer is used to compensate for the total disturbances. High-gain and second order sliding mode algorithms are merged to obtain the proposed modified...
S. Trybuła (1987)
Applicationes Mathematicae
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Marian J. Błachuta, Valery D. Yurkevich, Konrad Wojciechowski (1999)
Kybernetika
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In the paper the design of an aircraft motion controller based on the Dynamic Contraction Method is presented. The control task is formulated as a tracking problem for Euler angles, where the desired decoupled output transients are accomplished under assumption of high-level, high-frequency sensor noise and incomplete information about varying parameters of the system and external disturbances. The resulting controller has a simple form of a combination of a low-order linear dynamical...
Madalina Petcu, Roger Temam (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.
J. Lewoc (1971)
Applicationes Mathematicae
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Stanisław Łojasiewicz, Jr. (1979)
Annales Polonici Mathematici
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A. Plis (1973)
Annales Polonici Mathematici
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Czesław Olech, Bronisław Jakubczyk, Jerzy Zabczyk (1985)
Banach Center Publications
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Galina Kurina (2002)
International Journal of Applied Mathematics and Computer Science
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Optimal feedback control depending only on the system state is constructed for a control problem by the non-causal descriptor system for which optimal feedback control depending on state derivatives was considered in the paper (Meuller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.