Nonlinear model predictive control (NMPC) has become increasingly important for today’s control engineers during the last decade. In order to apply NMPC a nonlinear optimal control problem (NOCP) must be solved which in general needs high computational effort. State-of-the-art solution algorithms are based on multiple shooting or collocation algorithms, which are required to solve the underlyin...

In this paper the well-known modified (underrelaxed, damped) Newton method is extended in such a way as to apply to the solution of ill-conditioned systems of nonlinear equations, i.e. systems having a "nearly singular" Jacobian at some iterate. A special technique also derived herein may be useful, if only bad initial guesses of the solution point are available. Difficulties that arose previou...

The optimal control of a spacecraft as it transitions between specified states using continuous thrust in a fixed amount of time is studied using a recently developed technique based on Hamilton–Jacobi theory. Started from the first-order necessary conditions for optimality, a Hamiltonian system is derived for the state and adjoints with split boundary conditions. Then, with recognition of the ...

In this paper, we present a general iterative method for the solution of the Riemann problem for hyperbolic systems of PDEs. The method is based on the multiple shooting method for free boundary value problems. We demonstrate the method by solving one-dimensional Riemann problems for hyperelastic solid mechanics. Even for conditions representative of routine laboratory conditions and military b...

14 A [33_TD$DIFF]Airborne lead and acidic gasses are generated through combustion and mechanical abrasion of ammunition constituents during shooting events. Shooters and other personnel at shooting ranges are exposed to these airborne toxicants and the potential health risks of irritation, nervous system damage, and cancer. Past studies primarily focused on full-length work-shift exposure to le...

Recent police shootings in which multiple officers fired numerous rounds at suspects have led some observers to assert that such situations involve “contagious fire,” where an initial officer’s shots launch a cascade of gunfire from other officers present. Although there is anecdotal recognition of the contagious fire phenomenon among police and the media, there is not a single empirical study ...

This paper presents a new approach to the numerical solution of boundary value problems for higher index diierential algebraic equations. Invariants known for the original DAE as well as invariants of the reduced index 1 formulation are exploited to stabilize initial value problem integration, derivative generation and nonlinear and linear systems solution of an enhanced multiple shooting metho...

Recently, taking photographs by using camera function of a smartphone for many purpose as well as a digital camera only for photo shooting becomes common. Metadata of digital photographs are add to the photographs at the shooting behavior. There are various kinds of services using these metadata. The existing photographs shot by a digital camera and smartphone’s camera function include many met...