Linear Systems and Optimal Control - Chui, Chen - 1989 () Citation Context ...lbrecht, we find the formal power series solutions to the DPE. Then we prove the existence and uniqueness of these power series solutions in Theorem 3.1.1. The Pontryagin Maximum Principle (PMP) [2], =-=[8...
Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-...
Optimal control of singularly perturbed linear systems and applications. High-accuracy techniques ZMT Gajic 被引量: 0发表: 0年 H∞-optimal control for singularly perturbed systems. Part I: Perfect state measurements We study the H∞-optimal control of singularly perturbed linear systems under ...
The quadratic optimal control problem is investigated for linear descriptor systems which are the natural models of various practical control systems such as circuits systems, economics, power systems, robots and electric networks, etc. First by adopting restricted system transformation (RST), a type ...
Optimal control problems of hereditary systems have been given a great deal of attention in recent years. In this paper a class of non-linear systems with finite heredity in both the state and the control variables is considered. Using Pontryagin''s geometric approach necessary conditions not ...
linear control systemsbang bang control/ C1330 Optimal control C1340K Nonlinear control systemsThis paper considers the problem of optimal control for systems which are linear in control but non-linear in state. It is shown that there is a large class of control systems in which optimal singular...
systems for which parameters can drift slowly over time). Unfortunately adaptive control is not optimal in a formal sense, only minimizing a cost function of the output error. Indirect methods have been developed, which require system identification and then the Riccati equation solution. From a ...
Consideration was given to the linear problem of optimal control of one type of the delay systems where the delay appears in one equation of the system mathematical model. The terminal states of the system are bounded, the optimal control is realized by the discrete control actions obeying the ...
This paper considers the optimal control problem of a class of linear time-varying systems with multiple time-delays. A novel design approach to the optimal control law is proposed. By constructing a new state vector, the original system model and the performance index are simplified to equivalent...
International Journal of ControlP. F. Buelens and L. J. Hellinckx , Optimal control of linear multivariable systems with quadratic performance index, and the inverse optimal control problem, Inter. J. Control , 20 , 1974, pp. 113–127....