Title :
Factorization of nonlinear systems: toward a theory for nonlinear H∞ control
Author :
Ball, Joseph A. ; Helton, J.W.
Author_Institution :
Virginia Polytech. & State Univ., Blacksburg, VA, USA
Abstract :
A natural approach to H∞ control for nonlinear systems, by developing a theory of factorization for a nonlinear time-invariant causal map, is presented. Whenever such factorizations exist with well-behaved frequency-response function, θ, then a substantial class of nonlinear control problems can be solved. The author reports progress toward developing state-space formulas for constructing θ that generalize formulas of J.A. Ball and A. Ran (1987), which are the discrete-time version of Glover´s equations
Keywords :
frequency response; nonlinear control systems; optimal control; state-space methods; factorization; frequency response; nonlinear systems; nonlinear time-invariant causal map; optimal control; state-space; Control systems; Frequency response; H infinity control; Interconnected systems; Linear systems; Mathematics; Nonlinear control systems; Nonlinear equations; Nonlinear systems; State-space methods;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194766
