In control theory one is given a system-usually described by differential equations-that can be influenced by an external action. In optimal control problems, such an action is to be exercised for minimizing a given cost functional. The cost functionals of interest may be of very different nature. In general, they may depend on the state of the system, on the control, and possibly on the system...

In this paper, we use market segmentation approach in multiproduct inventory production system with deteriorating items. The objective is to make use of optimal control theory to solve the production inventory problem and develop an optimal production policy that maximize the total profit associated with inventory and production rate in segmented market. First, we consider a single production a...

subject to (tf , x(tf )) ∈ S = [t0,∞)× S1 where S1 is a k dimensional manifold in Rn S1 = {x ∈ R : h1(x) = h2(x) = · · · = hn−k(x) = 0} where hi are C1 functions from Rn to R subject to ẋ = f(x, u), x(t0) = x0 for u ∈ C[t0, T ] and u(t) ∈ U ⊂ Rm with f and L being C1 functions. Let u∗ : [t0, tf ] → R be an optimal control with state trajectory x∗ : [t0, tf ] → Rn and a constant. Then there exis...

This paper deals with the control of the induction phase of anesthesia. The objective during this first phase is to bring the patient from its awake state to a final state corresponding to some given depth of anesthesia, measured by the BIS (Bispectral index), within a minimum time. This optimal time control strategy is addressed by means of the maximum principle of Pontryagin. Furthermore, sin...

In this paper control of a flexible joint manipulator is designed using an adaptive output-feedback controller based on a backstepping design. The parameters of system are assumed to be unknown and only motor position and link position measurements are used for the synthesis of the controller. A canonical state representation of the system is derived and filters are designed to obtain the estim...

A geometric derivation of numerical integrators for optimal control problems is proposed. It is based in the classical technique of generating functions adapted to the special features of optimal control problems.

Bayesian D-optimal designs supported on a xed number of points were found by Dette and Wong (1998) for estimating parameters in a polynomial model when the error variance depends exponentially on the explanatory variable. This work provides optimal designs under a broader class of error variance structures and investigates the robustness properties of these designs to model and prior distributi...

Optimal control problems in batch distillation involve finding a trajectory for the reflux ratio so as to maximize a performance index. Then the controller is asked to follow this trajectory in an open loop fashion. It is important to minimize the effect of uncertainties in thermodynamic models on the optimal control profiles to achieve a better operating performance. The non-linear parameter e...

ADiesel cycle enginewith internal and external irreversibilities of finite combustion rate of the fuel, friction and heat leakage is investigated in this paper. The heat transfer between the working fluid and the environment outside the cylinder obeys generalized radiative heat transfer law [q ∝ ∆(T n)]. Under the conditions of the fixed total cycle time and fuel consumed per cycle, the optimal...

In this article we develop a method of solving general one-dimensional Linear Quadratic Regulator (LQR) problems in optimal control theory, using a generalized form of Fibonacci numbers. We find the solution R (k) of the corresponding discrete-time Riccati equation in terms of ratios of generalized Fibonacci numbers. An explicit Binet type formula for R (k) is also found, removing the need for ...