This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...

This work deals with the local rapid exponential stabilization for a Boussinesq system of KdVKdV type introduced by J. Bona, M. Chen and J.-C. Saut. This is a model for the motion of small amplitude long waves on the surface of an ideal fluid. Here, we will consider the Boussinesq system of KdV-KdV type posed on a finite domain, with homogeneous Dirichlet–Neumann boundary controls acting at the...

The problem of active control of the transient dynamic response of large space structures. modeled as equivalent continua. is investigated here. The effects of initial stresses. in the form of inplane stress resultants in an equivalent plate model. on the controllability of transverse dynamic response. are studied. A singular solution approach is used to derive a fully coupled set of nodal equa...

Rapid human arm movements often have velocity profiles consisting of several bell-shaped acceleration-deceleration phases, sometimes overlapping in time and sometimes appearing separately. We show how such sub-movement sequences can emerge naturally as an optimal control policy is approximated by a reinforcement learning system in the face of uncertainty and feedback delay. The system learns to...

In this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l robust optimal control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, t...