Brief H∞ controller reduction for nonlinear systems

Authors:
Chee-Fai Yung;He-Sheng Wang
Affiliations:
Department of Electrical Engineering, National Taiwan Ocean University, Keelung 202, Taiwan;Center for Aviation and Space Technology, Bldg. 52, 195-12 Sec. 4, Chung Hsing Rd. Chutung, Hsinchu 310, Taiwan
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 4
Cited 2

Generalized Riccati equations for the full- and reduced-order mixed-norm H2/ H∞

Systems & Control Letters
All controllers for the general H∞ control problem: LMI existence conditions and state space formulas

Automatica (Journal of IFAC)
Reduced-order controllers for continuous and discrete-time singular H∞ control problems based on LMI

Automatica (Journal of IFAC)
Technical Communique: Reduced-order H∞ controller design - an algebraic Riccati equation approach

Automatica (Journal of IFAC)

On the design of a reduced-order H∞ controller for nonlinear sampled-data systems

International Journal of Systems Science
Reduced-order filtering design for non-linear systems with H∞ setting

International Journal of Systems Science

Quantified Score

Hi-index	22.14

Visualization

Abstract

Sufficient conditions are proposed for the existence of reduced-order (fixed-order) controllers solving the standard nonlinear H^~ output feedback control problem. State-space formulas for such reduced-order H^~ controllers are also derived in terms of the solutions of two Hamilton-Jacobi inequalities. The development uses only elementary concepts of dissipativity and differential game, thus the proofs given are simple and clear.