Robust H-infinity control via a stable decentralized nonlinear output feedback controller
Abbreviated Journal Title
Int. J. Robust Nonlinear Control
robust H control; stable decentralized control; nonlinear uncertain; systems; integral quadratic constraint; global Lipschitz condition; LARGE-SCALE SYSTEMS; INTERCONNECTED SYSTEMS; DISTURBANCE ATTENUATION; UNCERTAIN SYSTEM; STABILIZATION; DESIGN; Automation & Control Systems; Engineering, Electrical & Electronic; Mathematics, Applied
This paper presents a new method to construct a decentralized nonlinear robust H controller for a class of large-scale nonlinear uncertain systems. The admissible uncertainties and nonlinearities in the system satisfy integral quadratic constraints and global Lipschitz conditions, respectively. The decentralized controller, which is required to be stable, is capable of exploiting known nonlinearities and interconnections between subsystems without treating them as uncertainties. Instead, additional uncertainties are introduced because of the discrepancies between nondecentralized and decentralized nonlinear output feedback controllers. The H control objective is to achieve an absolutely stable closed-loop system with a specified disturbance attenuation level. A solution to this control problem involves stabilizing solutions to algebraic Riccati equations parametrized by scaling constants corresponding to the uncertainties and nonlinearities. This formulation is nonconvex; hence, an evolutionary optimization method is applied to solve the control problem considered. Copyright (c) 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
"Robust H-infinity control via a stable decentralized nonlinear output feedback controller" (2014). Faculty Bibliography 2010s. 5419.