Two ASRE Approaches with Application to Spacecraft Coulomb Formations

Gomroki, Mohammad Mehdi
Topputo, Francesco
Tekinalp, Ozan
Bernelli-Zazzera, Franco
Suboptimal solutions of nonlinear optimal control problems are addressed in the present work. These suboptimal approaches are known as Approximating Sequence of Riccati Equations (ASRE) methods. In the ASRE methods, the nonlinear problem is reduced to a sequence of linear-quadratic and time-varying approximating problems. For this purpose, the nonlinear equations are written in State Dependent Coefficient (SDC) factorization form. Two different ASRE approaches are discussed and their implementation procedures will be explained. To implement and compare these two techniques, spacecraft Coulomb formations are considered. Suboptimal trajectories of formation attitude and relative position of a two-craft formation utilizing coulomb forces as well as thrusters is discussed. The effectiveness of the approaches as well as their comparison is demonstrated through numerical simulations.


New Positive Solutions of Nonlinear Elliptic PDEs
Inc, Mustafa; Bouteraa, Noureddine; Akinlar, Mehmet Ali; Benaicha, Slimane; Chu, Yu-Ming; Weber, Gerhard-Wilhelm; Almohsen, Bandar (MDPI AG, 2020-7-15)
We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs. For a second type of elliptic BVPs, we obtain conditions for existence and uniqueness of positive global solutions. We employ mathematical tools including strictly upper (SU) and strictly lower (SL) solutions, iterative sequence method and Amann theorem. We present our research findings in...
Including sparse noisy epicardial potential measurements into Bayesian inverse electrocardiography
Serinağaoğlu Doğrusöz, Yeşim; Macleod, Robert S. (null; 2002-12-01)
Imposition of a priori constraints is needed to combat the ill-posedness of the inverse problem of electrocardiography. Solutions to this problem have not yet achieved clinical utility. Extra measurements from catheters inserted into cardiac veins, even though quite sparse, may help increase accuracy and robustness. In this paper, we study various Bayesian methods to incorporate sparse epicardial measurements in solutions to the inverse problem.
Accurate and Efficient Solutions of Densely Discretized Closed Conductors Using a Combined Potential-Field Formulation
Karaova, Gokhan; Eris, Ozgur; Ergül, Özgür Salih (2021-01-01)
We present an accurate, efficient, and stable formulation for rigorous analyses of electromagnetic problems involving closed conductors. The formulation, namely the combined potential-field formulation (CPFF), is constructed from the conventional potential integral equations and the magnetic-field integral equation, together with an additional integral equation using the boundary condition for the normal component of the magnetic vector potential. Being both low-frequency-stable and resonance-free, CPFF is ...
An adaptive simulated annealing algorithm-based approach for assembly line balancing and a real-life case study
Guden, H.; Meral, Fatma Sedef (2016-05-01)
In this study, we address the deterministic assembly line balancing problem (ALBP) in a multiple product-models environment with multiple objectives. We have been motivated by the assembly line balancing problem of a white goods product production line that is a multi-model type line with 68 stations through which four product-models are assembled, each with approximately 400 precedence relations and 300 tasks. In the plant, to cope with the increasing demand in the medium term, the efficiency of the line i...
A Fixed Point Approach to Singular Impulsive Boundary Value Problems
Akgol, Sibel Dogru; Zafer, Ağacık (2016-09-25)
We obtain sufficient conditions for existence and uniqueness of solutions for a class of second order nonlinear singular impulsive boundary value problems with fixed moments of impulses.
Citation Formats
M. M. Gomroki, F. Topputo, O. Tekinalp, and F. Bernelli-Zazzera, “Two ASRE Approaches with Application to Spacecraft Coulomb Formations,” 2015, vol. 44, Accessed: 00, 2020. [Online]. Available: