H2−H∞ Control of Discrete-Time Nonlinear Systems Using the State-Dependent Riccati Equation Approach
Document Type
Article
Publication Date
2017
Publisher
Taylor & Francis
Source Publication
Systems Science & Control Engineering
Source ISSN
2164-2583
Original Item ID
DOI: 10.1080/21642583.2017.1310635
Abstract
A novel H2−H∞ State-dependent Riccati equation control approach is presented for providing a generalized control framework to discrete-time nonlinear system. By solving a generalized Riccati equation at each time step, the nonlinear state feedback control solution is found to satisfy mixed performance criteria guaranteeing quadratic optimality with inherent stability property in combination with H∞ type of disturbance attenuation. Two numerical techniques to compute the solution of the resulting Riccati equation are presented: The first one is based on finding the steady-state solution of the difference equation at every step and the second one is based on finding the minimum solution of a linear matrix inequality. The effectiveness of the proposed techniques is demonstrated by simulations involving the control of an inverted pendulum on a cart, a benchmark mechanical system.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Wang, Xin; Yaz, Edwin E.; Schneider, Susan C.; and Yaz, Yvonne I., "H2−H∞ Control of Discrete-Time Nonlinear Systems Using the State-Dependent Riccati Equation Approach" (2017). Electrical and Computer Engineering Faculty Research and Publications. 729.
https://epublications.marquette.edu/electric_fac/729
ADA Accessible Version
Comments
Published version. Systems Science & Control Engineering, Vol. 5, No. 1 (2017): 215-223. DOI. © 2017 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. Used with permission.