Shape Control for Experimental Continuation

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

Experimental Hysteresis Identification and Micro-position Control of a Shape-Memory-Alloy Rod Actuator

In order to exhaustively exploit the high-level capabilities of shape memory alloys (SMAs), they must be applied in control systems applications. However, because of their hysteretic inherent, dilatory response, and nonlinear behavior, scientists are thwarted in their attempt to design controllers for actuators of such kind.  The current study aims at developing a micro-position control system ...

An Interval Step Control for Continuation Methods

arcs in the set Z Of (1.1). These applications divide naturally into two classes. In the rst class, H models a parametrized physical system, which we wish to study as the parameter varies, such as in [12]. In the second class, we introduce an articial parameter in order to solve (or nd all solutions to) a system of n nonlinear equations in n unknowns for which locally convergent methods are ...

Preconditioning for continuation model predictive control

Abstract: Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) deals with nonlinear models and/or constraints. A Continuation/GMRESMethod for NMPC, suggested by T. Ohtsuka in 2004, uses the GMRES iterative algorithm to solve a forward difference approximation Ax = b of the original NMPC equations on every time step. We have previousl...

Differential continuation for regular optimal control problems

Regular control problems in the sense of the Legendre condition are defined, and second-order necessary and sufficient optimality conditions in this class are reviewed. Adding a scalar homotopy parameter, differential pathfollowing is introduced. The previous sufficient conditions ensure the definiteness and regularity of the path. The role of AD for the implementation of this approach is discu...