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We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluation of the running cost, without compromising computational…

Optimization and Control · Mathematics 2024-05-02 Samet Uzun , Purnanand Elango , Abhinav G. Kamath , Taewan Kim , Behcet Acikmese

This paper presents an algorithm to solve non-convex optimal control problems, where non-convexity can arise from nonlinear dynamics, and non-convex state and control constraints. This paper assumes that the state and control constraints…

Optimization and Control · Mathematics 2017-05-05 Yuanqi Mao , Michael Szmuk , Behcet Acikmese

This paper presents a Successive Convexification ($ \texttt{SCvx} $) algorithm to solve a class of non-convex optimal control problems with certain types of state constraints. Sources of non-convexity may include nonlinear dynamics and…

Optimization and Control · Mathematics 2017-10-23 Yuanqi Mao , Daniel Dueri , Michael Szmuk , Behçet Açıkmeşe

This paper presents the SCvx algorithm, a successive convexification algorithm designed to solve non-convex constrained optimal control problems with global convergence and superlinear convergence-rate guarantees. The proposed algorithm can…

Optimization and Control · Mathematics 2019-02-28 Yuanqi Mao , Michael Szmuk , Xiangru Xu , Behcet Acikmese

A novel robust nonlinear model predictive control strategy is proposed for systems with nonlinear dynamics and convex state and control constraints. Using a sequential convex approximation approach and a difference of convex functions…

Optimization and Control · Mathematics 2025-01-28 Yana Lishkova , Mark Cannon

This paper presents a novel methodology for solving the time-optimal trajectory optimization problem for interplanetary solar-sail missions using successive convex programming. Based on the non-convex problem, different convexification…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Yu Song , Shengping Gong

This paper presents a sequential convex programming (SCP) framework for ensuring the continuous-time satisfaction of compound state-triggered constraints, a subset of logical specifications, in the powered descent guidance (PDG) problem.…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Samet Uzun , Behcet Acikmese , John M. Carson

In this paper, we present the application of successive convexification methods to autonomous driving problems borrowed from recent aerospace literature. We formulate two optimization problems within the successive convexification…

Optimization and Control · Mathematics 2020-10-14 Ali Boyali , Simon Thompson , David Wong

In this paper, we present a real-time successive convexification algorithm for a generalized free-final-time 6-degree-of-freedom powered descent guidance problem. We build on our previous work by introducing the following contributions: (i)…

Optimization and Control · Mathematics 2020-09-01 Michael Szmuk , Taylor P. Reynolds , Behcet Acikmese

Successive convex programming (SCP) is a powerful class of direct optimization methods, known for its polynomial complexity and computational efficiency, making it particularly suitable for autonomous applications. Direct methods are also…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Saeid Tafazzol , Ehsan Taheri

In this paper, we extend our previous results and formally propose the SCvx-fast algorithm, a new addition to the Successive Convexification algorithmic framework. The said algorithm solves non-convex optimal control problems with specific…

Optimization and Control · Mathematics 2021-12-02 Yuanqi Mao , Behcet Acikmese

We introduce a multi-phase rocket landing guidance framework that can handle nonlinear dynamics and does not mandate any additional mixed-integer or nonconvex constraints to handle discrete temporal events/switching. To achieve this, we…

Optimization and Control · Mathematics 2023-05-30 Abhinav G. Kamath , Purnanand Elango , Yue Yu , Skye Mceowen , Govind M. Chari , John M. Carson , Behçet Açıkmeşe

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

Optimization and Control · Mathematics 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

Nonlinear trajectory optimization algorithms have been developed to handle optimal control problems with nonlinear dynamics and nonconvex constraints in trajectory planning. The performance and computational efficiency of many trajectory…

Optimization and Control · Mathematics 2024-01-17 Taewan Kim , Purnanand Elango , Danylo Malyuta , Behcet Acikmese

In this paper, we propose a successive pseudo-convex approximation algorithm to efficiently compute stationary points for a large class of possibly nonconvex optimization problems. The stationary points are obtained by solving a sequence of…

Optimization and Control · Mathematics 2018-12-17 Yang Yang , Marius Pesavento

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

This paper proposes a new algorithm that solves non-convex optimal control problems with a theoretical guarantee for global convergence to a feasible local solution of the original problem. The proposed algorithm extends the recently…

Optimization and Control · Mathematics 2024-10-15 Kenshiro Oguri

Sequential Convex Programming (SCP) has recently gained significant popularity as an effective method for solving optimal control problems and has been successfully applied in several different domains. However, the theoretical analysis of…

Optimization and Control · Mathematics 2022-09-07 Riccardo Bonalli , Thomas Lew , Marco Pavone

This paper presents auto-tuned primal-dual successive convexification (Auto-SCvx), an algorithm designed to reliably achieve dynamically-feasible trajectory solutions for constrained hypersonic reentry optimal control problems across a…

Optimization and Control · Mathematics 2024-11-15 Skye Mceowen , Daniel J. Calderone , Aman Tiwary , Jason S. K. Zhou , Taewan Kim , Purnanand Elango , Behcet Acikmese
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