Data and code underlying the arXiv submission: Linear-Quadratic Dynamic Games as Receding-Horizon Variational Inequalities
doi: 10.4121/ea21437d-6fb7-4b37-b640-e7cb53a56a45
GPL-3.0
This data contains simulation results for the automatic power generation control of a 4-zone system, and for a vehicle platooning application., controlled using a receding-horizon approach based on the open-loop Nash equilibrium (ol-NE) and the closed-loop Nash equilibrium (cl-NE) computation
Automatic power generation test
The N=4 agents perform a receding-horizon control action based on the computation of a cl-NE for the underlying dynamic game. The test is performed over N_tests=100 randomized initial conditions, and the proposed methodology (with a terminal cost) is compared to a "baseline method", namely, non-cooperative MPC method (without terminal cost). The simulation time T_sim is 100 time-steps. The relative 4_zones_power_system.mat file contains the following data:
- x_cl: array of size (n_x, 1, T_sim+1, N_tests). It contains the state at each time-step computed using the cl-NE method
- u_cl: array of size (n_u, 1, N, T_sim+1, N_tests), where N is the number of agents and n_u is the numbers of input variables for each agent. It contains the input at each time-step computed using the cl-NE method
- x_bl: array of size (n_x, 1, T_sim+1, N_tests). It contains the state at each time-step computed using the baseline method
- u_bl: array of size (n_u, 1, N, T_sim+1, N_tests), where N is the number of agents and n_u is the numbers of input variables for each agent. It contains the input at each time-step computed using the baseline method
- X_f_cl: EllipsoidSet class (see MPT3 toolbox), which cointains the estimated terminal set of the proposed method
- norms_x_0_to_test: vector of dimension 5: for each test, the norm of the initial state is one of the elements, times the radius of X_f_cl
Vehicle platooning test
The N=5 agents perform a receding-horizon control action based on the computation of an ol-NE for the underlying dynamic game. The test is performed over N_tests=1 randomized initial conditions. The simulation time T_sim is 200 time-steps. The relative vehicle_platooning.mat file contains the following data:
- x_ol: array of size (n_x, 1, T_sim+1, N_tests). It contains the state at each time-step computed using the ol-NE method
- u_ol: array of size (n_u, 1, N, T_sim+1, N_tests), where N is the number of agents and n_u is the numbers of input variables for each agent. It contains the input at each time-step computed using the ol-NE method
- 2024-12-06 first online, published, posted
DATA
- 2,977,933 bytesMD5:
0005ea87e35938dd60eebb9fd279e3014_zones_power_system.mat - 464,148 bytesMD5:
966cb2d9f9463e3c6281470fbd2764a7code.zip - 22,678 bytesMD5:
dbf87aba76c22e97fafec95556e1a8d6vehicle_platooning.mat -
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