Path Planning Using a Novel Finite Horizon Suboptimal Controller

Author

Ali Heydari, Missouri University of Science and TechnologyFollow
S. N. Balakrishnan, Missouri University of Science and TechnologyFollow

Abstract

A study was conducted to demonstrate path planning using a novel finite horizon suboptimal controller. The state-dependent Riccati equation (SDRE) method for infinite horizon optimal control of nonlinear systems was used to conduct the investigations. A state-dependent differential Riccati equation was introduced to provide an approximate closed-form solution to the finite horizon optimal control problem. The relation between Hamilton-Jacobi-Bellman (HJB) partial differential equation and the state-dependent differential Riccati equation was investigated. An approximate method was suggested for solving the differential Riccati equation and the performance of the developed technique was investigated with path-planning problems for the approach and landing (A&L) phase of a reusable launch vehicle (RLV), such that the vehicle landed in a fixed and prespecified downrange with the least possible vertical velocity and flight-path angle.

Recommended Citation

A. Heydari and S. N. Balakrishnan, "Path Planning Using a Novel Finite Horizon Suboptimal Controller," Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics (AIAA), Jan 2013.

The definitive version is available at https://doi.org/10.2514/1.59127

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0731-5090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

Publication Date

01 Jan 2013