Algorithmic Method of Parametric Optimization in the Problem of the Rendezvous of two Objects

Student: Kotashevskii Aleksei

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Control Systems and Data Processing in Engineering (Master)

Final Grade: 9

Year of Graduation: 2019

The paper deals with the problem of optimal (suboptimal) control construction using the extended linearization method for nonlinear dynamical systems. This method allows the transition from the solution of the Hamilton-Jacobi-Bellman equation to the Riccati equation with state-dependent parameters. Due to the complexity of finding a solution to the Riccati equation, the thesis builds a parametric optimization algorithm based on the behavior of the Hamiltonian along the optimal trajectory. The efficiency of the found control is demonstrated by the example of the problem of convergence of two objects. For the simulation of the obtained results is used the Simulink for Matlab.

Full text (added May 24, 2019)

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