|Series||Research monograph / Massachusetts Institute of Technology -- 44|
Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for Cited by: We consider different iterative methods for computing Hermitian solutions of the coupled Riccati equations of the optimal control problem for jump linear systems. In this work, the variational iteration method (VIM) is used to solve a class of fractional optimal control problems (FOCPs). New Lagrange multipliers are determined and some new iterative. Optimal control theory is a mature mathematical discipline with numerous applications Of special interest in the context of this book is the Linear-quadratic-Gaussian control, Riccati equations, iterative linear approximations to nonlinear problems. 5. Optimal recursive estimation, Kalman –lter, Zakai Size: KB.
this book, the primary goal is centered oniterative learning m “iterative” indicates a kind of action that requires the dynamic process be repeatable, i.e., the dynamic system is deterministic and the tracking control tasks are repeatable over a . The reader of this book should be familiar with the material in an elementary graduate level course in numerical analysis, in particular direct and iterative methods for the solution of linear equations and linear least squares problems. The material . We prove the existence and the uniqueness of the optimal solution and establish the optimality condition. An iterative algorithm is constructed to compute the required optimal control as limit of a suitable subsequence of controls. An iterative procedure is implemented and used to numerically solve some test by: 2. Numerical solution of optimal control problems by an iterative scheme M. keyanpour ∗, M. Azizsefat Department of Applied Mathematics, University of Guilan, Rasht, Iran. Abstract. This paper presents an iterative approach based on hybrid of perturbation and parametrization methods for obtaining approximate solutions of optimal control by: 4.
Publisher Summary. This chapter reviews variational theory and optimal control theory. It discusses a problem of minimizing a function of the form dt in a class of functions x i (t), u k (t), w formulated problem is a very general problem in the calculus of variations and is equivalent to the problem of Bolza. The shifted Chebyshev spectral method (SCSM) is used to study the OS for the first model. Two different numerical methods are introduced to study the optimal control problems of both models. These methods are iterative optimal control method (IOCM) and the generalized Euler method (GEM).Author: Yousef S. Almaghrebi, Nasser Sweilam, Abdelhameed Nagy. Consideration was given to the class of optimal control problems for the differential systems with unbounded linear control and, in particular, the classes of problems for the bilinear systems. Such problems are distinguished for the lack of minimum (maximum) on the ordinary class of permissible processes (continuous trajectories, sectionally continuous controls) and Cited by: 4. ITERATIVE SOLUTION TO TIME-OPTIMAL CONTROL state vector at any time t ~ 0 is determined by a differential equation of the form: dx(t)/dt = A(t) x(t) + B(t) u(t) x(O) = xo () Here x is an n-dimensional vector function, A is an n n matrix function, B is an n X r matrix function, and u is an r-dimensional vector control function, d(t) and B Cited by: