Diierential-geometric methods can and have been successfully used in control theory, not only to pose and solve new problems, but also to get new insights and prove new results about classical problems of optimal control. In particular, they yield new results on local controllability, continuity properties of value functions, the structure of reachable sets, and the properties of optimal trajec...

Continuous motorization and urbanization around the globe leads to an expansion of population in major cities. Therefore, ever-growing pressure imposed on the existing mass transit systems calls for a better technology, Intelligent Transportation Systems (ITS), to solve many new and demanding management issues. Many studies in the extant ITS literature attempted to address these issues within w...

In this paper the use of tools from optimal control theory, namely the Kalman filter, is introduced for chaotic Lur’e systems to replace the widely used error feedback synchronization. This allows to take into account observation noise on the strange attractor to be filtered. We show that the filtering performance is superior to that of synchronization, in particular if the noise level is non-n...

Present work aims at developing an active suspension for a passenger car by designing a controller using linear quadratic optimal control theory, based on two different control approaches [conventional method (CM), acceleration dependent method (ADM)]. Performance of the active suspension system of a quarter car model with 3 degrees-of-freedom with two control approaches has been compared with ...

This paper proposes a framework for optimal control of mechanical systems possessing conserved quantities such as control moment gyros (CMGs). It will be shown that output regulation theory is appropriate to handle such constraints and that the center-stable manifold method for solving the associated Hamilton-Jacobi equation is effective for computing the optimal feedback control. With this fra...

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...