Barrier Function-Based SDRE Control for Nonlinear Systems with State Constraints

Abstract

Many real life systems operate in restricted state space. This study presents a new controller design technique for solving nonlinear regulator problems under the state dependent Riccati equation (SDRE) framework for systems with state constraints. A barrier function-based weighting matrix is designed to handle the state constraints. Stability analysis and constraint satisfaction are proved through Lyapunov analysis. The efficacy of the proposed method is demonstrated through a nonlinear benchmark problem and an application problem. The associated simulation results are also presented.

Meeting Name

2021 American Control Conference, ACC 2021 (2021: May 25-28, Virtual)

Department(s)

Mechanical and Aerospace Engineering

Comments

National Aeronautics and Space Administration, Grant NNX15AM51A

Keywords and Phrases

Barrier Function; SDRE; State Constraint

International Standard Book Number (ISBN)

978-166544197-1

International Standard Serial Number (ISSN)

0743-1619

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 International Federation for Automatic Control (IFAC), All rights reserved.

Publication Date

28 May 2021

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