Article
Engineering, Aerospace
Pingyuan Cui, Dongyue Zhao, Shengying Zhu
Summary: This paper proposes an obstacle avoidance guidance method with an adaptive curvature adjusting mechanism for autonomous landing in complex and hazardous terrains. The method aims to achieve a balance between safety and fuel economy by utilizing the advantages of curvature guidance and a global optimization technique with a specific curvature constraint.
Article
Engineering, Aerospace
Jiateng Long, Pingyuan Cui, Shengying Zhu
Summary: This paper presents a generalized method for dealing with obstacle avoidance in planetary landing missions. By introducing a trajectory direction constraint and satisfying proper constraints, the landing trajectory can be optimized effectively.
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS
(2022)
Article
Engineering, Aerospace
Marco Sagliano, David Seelbinder, Stephan Theil, Ping Lu
Summary: This paper proposes an augmented convex-concave decomposition (ACCD) method for handling nonlinear equality constraints in convex problems. The ACCD significantly improves the feasibility of the problem compared to the original approach. By solving a fuel-optimal rocket landing problem with multiple nonlinear equality constraints, the effectiveness of the ACCD is demonstrated. Compared to known approaches, the proposed method leads to more robust convergence and interpretable behavior of the algorithm.
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS
(2023)
Article
Engineering, Aerospace
Andrea D'Ambrosio, Enrico Schiassi, Hunter Johnston, Fabio Curti, Daniele Mortari, Roberto Furfaro
Summary: In this paper, a unified approach is proposed to solve the time-energy optimal landing problem on planetary bodies. The indirect optimization method based on the derivation of the first order necessary conditions from the Hamiltonian is used, and the Two-Point Boundary Value Problem arising from the application of the Pontryagin Minimum Principle is solved using the Theory of Functional Connections. The proposed method accurately computes the optimal landing trajectories in a short computational time, making it suitable for real-time applications.
ADVANCES IN SPACE RESEARCH
(2022)
Article
Engineering, Aerospace
Taotao Liang, Qiaozhi Yin, Xiaohui Wei
Summary: This research analyzes the effects of landing gear layout on the safety of the rollout process. A method to improve calculation efficiency is proposed, and a simplified model is established to analyze the effects of layout type on safety. The results show that the variable friction skid improves the rollout safety of the aircraft.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Automation & Control Systems
Abraham P. Vinod, Meeko M. K. Oishi
Summary: This study focuses on the stochastic reachability problem in constrained dynamical systems, providing insights on the geometric properties of stochastic reach sets and proposing a scalable algorithm for their computation using convex optimization. The efficacy and scalability of the approach is demonstrated through numerical examples, showing superior performance compared to existing software tools for linear systems verification.
Article
Chemistry, Multidisciplinary
Xinyuan Miao, Lin Cheng, Yu Song, Junfeng Li, Shengping Gong
Summary: This article introduces a novel decoupling method for real-time guidance computation during planetary landings. The analytical three-dimensional constraint equations are derived and solved, and the three-dimensional motion modes and thrust profiles are determined based on Pontryagin's minimum principle. A semi-analytical reachability judgment method is also presented. In addition, the algorithm is embedded in the model predictive control framework and several techniques are adopted to enhance stability and robustness.
APPLIED SCIENCES-BASEL
(2022)
Article
Engineering, Multidisciplinary
Nicholas Moehle, Jack Gindi, Stephen Boyd, Mykel J. Kochenderfer
Summary: This paper presents a heuristic algorithm based on the ADMM method to solve separable nonconvex terms in mean-variance portfolio optimization problems and empirically demonstrates its effectiveness in tax-aware portfolio construction.
OPTIMIZATION AND ENGINEERING
(2023)
Article
Operations Research & Management Science
Manxue You, Genghua Li
Summary: This paper establishes the Fenchel-Lagrange dual problem of a composed optimization model with infinite constraints in separated locally convex spaces using a coupling conjugation scheme and the perturbational approach. The main objectives are to establish strong duality under new regularity conditions and an extension closed-type condition, as well as to characterize total duality in terms of c-subdifferentials.
Article
Engineering, Electrical & Electronic
Gonzalo E. Constante-Flores, Antonio J. Conejo, Feng Qiu
Summary: A method is proposed to solve the AC network-constrained unit commitment problem in large-scale power systems. The method involves solving convex optimization problems and using Benders' decomposition to solve a mixed-integer second-order conic optimization problem. Linear feasibility constraints are added to the master problem for improved convergence. The proposed approach is validated numerically using a Texas 2000-bus system.
IEEE TRANSACTIONS ON POWER SYSTEMS
(2022)
Article
Engineering, Aerospace
Yuhui Hu, Kai Shen, Konstantin A. Neusypin, Andrey Proletarsky, Maria S. Selezneva
Summary: This article focuses on the controllability analysis of atmospheric landing of hypersonic flight vehicles. It develops a novel measure, called the degree of controllability (DOC), for quantifying the controllability of linear time-varying systems. The proposed criterion provides insights into the controllability of the system and each state subspace, and can be effectively applied in aerospace engineering. Simulation results of a Mars entry guidance scenario validate the effectiveness of the derived criterion, which can be used to evaluate and compare different reference trajectories in terms of their optimality from the perspective of controllability analysis.
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS
(2022)
Article
Automation & Control Systems
Michael R. Metel, Akiko Takeda
Summary: This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. The authors present the first non-asymptotic convergence bounds for this class of problem and compare their algorithms with the current state-of-the-art deterministic algorithm, finding superior convergence in a numerical experiment.
JOURNAL OF MACHINE LEARNING RESEARCH
(2021)
Article
Automation & Control Systems
Jiqiang Feng, Yiyuan Chai, Chen Xu
Summary: This paper introduces a new complex-valued neural network for solving a nonconvex complex-variable optimization problem, which is independent of exact penalty parameters and can also solve real-variable optimization problems. Experimental results demonstrate the feasibility of the proposed network.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2021)
Article
Automation & Control Systems
Bastian Schuermann, Matthias Althoff
Summary: This article introduces a novel control approach for solving reach-avoid problems for constrained and disturbed nonlinear systems by optimizing over reachable sets. The approach involves a combination of state-dependent feedforward and feedback control, leading to better control performance compared to existing methods, particularly suited for motion planning in maneuver automata.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Automation & Control Systems
Lin Lin, Jinde Cao, Mahmoud Abdel-Aty, Udai Ali Al-Juboori
Summary: This paper investigates the topological structure of BCNs with state constraints, defining new phenomena such as "livelock" and "deadlock", and explores the constrained reachability and stabilization problem of BCNs under event-triggered control, providing necessary and sufficient conditions and an algorithm for designing feasible controllers. The efficiency of the results is illustrated through a reduced model of lac operon in Escherichia coli.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)