On the limited memory BFGS method for large scale optimization
Mathematical Programming: Series A and B
On the nonlinear optimal regulator problem
Automatica (Journal of IFAC)
Nonlinear process control
Real-time optimization algorithm for nonlinear receding-horizon control
Automatica (Journal of IFAC)
Approximate solutions to the time-invariant Hamilton-Jacobi-Bellman equation
Journal of Optimization Theory and Applications
Survey Constrained model predictive control: Stability and optimality
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
A control method with brain machine interface for man-machine systems
MATH'07 Proceedings of the 11th WSEAS International Conference on Applied Mathematics
BMI Based RHC Method for Wheelchair
ICCHP '08 Proceedings of the 11th international conference on Computers Helping People with Special Needs
Robotics and Autonomous Systems
Flight control of helicopter groups using nonlinear model predictive control
CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
Development of optimal control system for safe distance of platooning using model predictive control
SEAL'10 Proceedings of the 8th international conference on Simulated evolution and learning
New integrated control design method based on receding horizon control with adaptive DA converter
ACMOS'06 Proceedings of the 8th WSEAS international conference on Automatic control, modeling & simulation
An obstacle avoidance system based on BMI and RHC for robotic wheelchair
Proceedings of the 15th WSEAS international conference on Systems
An auto-generated real-time iteration algorithm for nonlinear MPC in the microsecond range
Automatica (Journal of IFAC)
Real-Time Nonlinear Optimization as a Generalized Equation
SIAM Journal on Control and Optimization
Brief paper: A framework for real-time implementation of low-dimensional parameterized NMPC
Automatica (Journal of IFAC)
A fixed-point iteration scheme for real-time model predictive control
Automatica (Journal of IFAC)
Model predictive control of a power-split hybrid electric vehicle system
Artificial Life and Robotics
Two-dimensional merging path generation using model predictive control
Artificial Life and Robotics
A Hamiltonian approach to compute an energy efficient trajectory for a servomotor system
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In this paper, a fast numerical algorithm for nonlinear receding horizon control is proposed. The control input is updated by a differential equation to trace the solution of an associated state-dependent two-point boundary-value problem. A linear equation involved in the differential equation is solved by the generalized minimum residual method, one of the Krylov subspace methods, with Jacobians approximated by forward differences. The error in the entire algorithm is analyzed and is shown to be bounded under some conditions. The proposed algorithm is applied to a two-link arm whose dynamics is highly nonlinear. Simulation results show that the proposed algorithm is faster than the conventional algorithms.