A collocation method for optimal control of linear systems with inequality constraints.
Razzaghi, M., Nazarzadeh, J., Nikravesh, K.Y. (1998)
Mathematical Problems in Engineering
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Razzaghi, M., Nazarzadeh, J., Nikravesh, K.Y. (1998)
Mathematical Problems in Engineering
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Leszek A. Trybus (1979)
Kybernetika
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Andrzej Królikowski, Damian Jerzy (2001)
International Journal of Applied Mathematics and Computer Science
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The handling of various input constraints in the self-tuning generalized predictive control (STGPC) problem of ARIMAXARMAX systems is considered. The methods based on the Lagrange multipliers and Lemke's algorithm are used to solve the constrained optimization problem. A self-tuning controller is implemented in an indirect way, and the considered constraints imposed on the control input signal are of the rate, amplitude and energy types. A comparative simulation study of self-tuning...
Michael Hinze, Ulrich Matthes (2009)
Control and Cybernetics
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François Chaplais, Nicolas Petit (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration. ...