Constrained quasi-spectral MPSP with application to high-precision missile guidance with path constraints

Date published

2020-10-15

Free to read from

Supervisor/s

Journal Title

Journal ISSN

Volume Title

Publisher

American Society of Mechanical Engineers (ASME)

Department

Type

Article

ISSN

0022-0434

Format

Citation

Mondal S, Padhi R. (2021) Constrained quasi-spectral MPSP with application to high-precision missile guidance with path constraints, Journal of Dynamic Systems, Measurement, and Control, Volume 143, Issue 3, March 2021, Article Number 031001

Abstract

This paper extends the recently developed quasi-spectral model predictive static programming (QS-MPSP) to include state and control path-constraints and yet retain its computational efficiency. This is achieved by (i) formulating the entire problem in the control variables alone by (a) converting the system dynamics to an equivalent algebraic constraint and (b) converting the state constraints to equivalent control constraints, both of which is done by manipulating the system dynamics, (ii) representing the control variables in Quasi-spectral form, which makes the number of free-variables independent of time-grids and (iii) using a computationally efficient optimization algorithm to solve this low-dimensional problem. This generic computationally efficient technique is utilized next as an effective lead angle, and lateral acceleration constrained optimal missile guidance to intercept incoming high-speed ballistic targets with high precision successfully. Both of these constraints, as well as near-zero miss-distance, are of high practical significance for this challenging problem. Extensive three-dimensional simulation studies show the effectiveness of the newly proposed constrained QS-MPSP guidance algorithm. Six degrees-of-freedom simulation studies have also been carried out using autopilot in the loop to validate the results more realistically.

Description

Software Description

Software Language

Github

Keywords

Algorithms, Computer programming, Deflection, Dynamics (Mechanics), Flight, Missile guidance systems, Optimization, Simulation, Optimal control, Missiles, Autopilots, Yaw, Dynamic models

DOI

Rights

Attribution-NonCommercial 4.0 International

Relationships

Relationships

Supplements

Funder/s