Title :
Nonlinear H∞ control
Author :
Baras, J.S. ; James, M.R.
Author_Institution :
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
Abstract :
This paper discusses various aspects of developments concerning the robust H∞ problem for continuous-time nonlinear systems. In the state feedback case, the problem can be solved in the framework of dissipative systems, and the associated storage functions solve the PDI in the viscosity sense. The main problem is then one of controller synthesis. In the output feedback case, the information state concept provides the appropriate framework. The solution is expressed in terms of a PDE for the information state (filter), and an infinite dimensional PDE or dissipation-type PDI for the value function (control). The attendant mathematical issues are discussed
Keywords :
H∞ control; continuous time systems; control system synthesis; nonlinear control systems; partial differential equations; robust control; state feedback; state-space methods; continuous-time nonlinear systems; controller synthesis; dissipation-type PDI; dissipative systems; infinite dimensional PDE; information state concept; nonlinear H∞ control; output feedback; robust H∞ problem; state feedback; value function; Adaptive systems; Control systems; Nonlinear equations; Nonlinear systems; Output feedback; Riccati equations; Robust control; Robustness; State feedback; Systems engineering and theory;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411245
