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20162023
most citedEfficient solution method based on inverse dynamics for optimal control problems of rigid body systems

10 citations · 33 across the 12 of their papers we have counts for

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8 papers · 1 filter

math.OC2022★ 1 cited

A Non-Interior-Point Continuation Method for the Optimal Control Problem with Equilibrium Constraints

Kangyu Lin, Toshiyuki Ohtsuka

In this study, we focus on the numerical solution method for the optimal control problem with equilibrium constraints (OCPEC).It is extremely challenging to solve OCPEC owing to th…

math.OC2021

Structure-Exploiting Newton-Type Method for Optimal Control of Switched Systems

Sotaro Katayama, Toshiyuki Ohtsuka

This study proposes an efficient Newton-type method for the optimal control of switched systems under a given mode sequence. A mesh-refinement-based approach is utilized to discret…

math.OC2021

Lifted contact dynamics for efficient optimal control of rigid body systems with contacts

Sotaro Katayama, Toshiyuki Ohtsuka

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax…

math.OC2021★ 10 cited

Efficient solution method based on inverse dynamics for optimal control problems of rigid body systems

Sotaro Katayama, Toshiyuki Ohtsuka

We propose an efficient way of solving optimal control problems for rigid-body systems on the basis of inverse dynamics and the multiple-shooting method. We treat all variables, in…

math.OC2021★ 3 cited

Efficient Riccati recursion for optimal control problems with pure-state equality constraints

Sotaro Katayama, Toshiyuki Ohtsuka

A novel approach to efficiently treat pure-state equality constraints in optimal control problems (OCPs) using a Riccati recursion algorithm is proposed. The proposed method transf…

math.OC2021★ 1 cited

Riccati Recursion for Optimal Control Problems of Nonlinear Switched Systems

Sotaro Katayama, Toshiyuki Ohtsuka

We propose an efficient algorithm for the optimal control problems (OCPs) of nonlinear switched systems that optimizes the control input and switching instants simultaneously for a…

math.OC2020

A Double-Layer Jacobi Method for PDE-Constrained Nonlinear Model Predictive Control

Haoyang Deng, Toshiyuki Ohtsuka

This paper presents a real-time optimization method for nonlinear model predictive control (NMPC) of systems governed by partial differential equations (PDEs). The NMPC problem to…

math.OC2016★ 2 cited

Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis

Yu Kawano, Toshiyuki Ohtsuka

In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is show…