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Fast optimal feedback controller for electric linear actuator used in spreading systems of road spreaders

Dobrowolski D., Dobrowolski J., Piekarska W., Stępień S.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2019

Vol. 67, nr 6

1041--1047

Modern and innovative road spreaders are now equipped with a special swiveling mechanism of the spreading disc. It allows for adjusting asymmetrical or a symmetrical spreading pattern and provides for the possibility to maintain the size of the spreading surface and achieve an accurately defined spreading pattern with spreading widths. Thus the paper presents a modelling and control design methodology, and the concept is proposed to design high-performance and optimal drive systems for spreading devices. The paper deals with a nonlinear model of an electric linear actuator and solution of the new intelligent/optimal control problem for the actuator.

From optimal control to non-cooperative differential games: a homotopy approach

Bressan A.

Control and Cybernetics

2009

Vol. 38, no 4A

1081-1106

We propose a new approach to the study of Nash equilibrium solutions to non-cooperative differential games. The original problem is embedded in a one-parameter family of differential games, where the parameter 0 ∈ [0,1] accounts for the strength of the second player. When 0 = 0, the second player adopts a myopic strategy and the game reduces to an optimal control problem for the first player. As 0 becomes strictly positive, Nash equilibrium solutions can be obtained by studying a bifurcation problem for the corresponding system of Hamilton-Jacobi equations.

Optimal feedback control proportional to the system state can be found for non-causal descriptor systems (a remark on a paper by P. C. Müller)

Kurina G. K.

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 4

591-593

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 (Müller, 1998). To this end, a non-symmetric solution of the algebraic operator Riccati equation is used.