Implementation of optimal closed-loop control strategy
Tóm tắt
A method of online construction of an optimal feedback control for linear and nonlinear systems is proposed. The idea of closed-loop solution is based on constructing a realization of optimal feedback in any concrete control process under unknown but bounded disturbances. The realization of the algorithm of closed-loop solution is oriented on fast corrections of optimal open-loop control subject to small variations of the initial state. This is possible due to the storage of a small amount of additional information allowing to avoid a complete integration of the primal or adjoint system.
Từ khóa
#Optimal control #Open loop systems #Control systems #Nonlinear systems #Process control #Sampling methods #Linear systems #Optimization methods #Strain control #Nonlinear control systemsTài liệu tham khảo
gabasov, 2002, Constructive Methods of Optimization of Dynamical Systems, Vietnam Journal of Mathematics
forsythe, 1977, Computer Methods for Mathematical Computations
10.1111/j.1934-6093.2000.tb00154.x
gabasov, 1987, An algorithm for optimizing a quasilinear control system, Soviet Math Dokl, 35, 250
kalinin, 2000, Asymptotic methods of optimization of disturbed dynamical systems
gabasov, 1995, Optimal Feedback Control, 207
balashevich, 2001, Numerical Methods for Open-Loop and Closed-Loop Optimization of Piecewise Linear Systems, Computational Mathematics and Mathematical Physics, 41, 1578
10.1016/S0005-1098(99)00214-9
balashevich, 2001, Algorithms for Open-Loop and Closed-Loop Optimization of Control Systems with Intermediate State Constraints, Computational Mathematics and Mathematical Physics, 41, 1410