Title :
Intelligent tools for the state space analysis of nonlinear controllers
Author_Institution :
Dept. of Comput. Sci., Princeton Univ., NJ, USA
Abstract :
The author describes research on automating the state space analysis of nonlinear dynamical systems by combining artificial intelligence with numerical software. The resulting programs can assist control theorists in the stability and robustness analysis of continuous and discrete nonlinear systems. A program POINCARE, that analyzes one-parameter systems with two state variables is described. It computes the stable states as a function of the parameter value and describes the basins of attraction qualitatively. It computes basins numerically for fixed parameter values. The algorithm extends to systems where two parameters vary independently. It extends partially to systems with three or more state variables; tracking attractors is feasible, but estimating basins requires more research
Keywords :
artificial intelligence; control system analysis computing; discrete systems; nonlinear control systems; stability; state-space methods; POINCARE; artificial intelligence; basins of attraction; continuous systems; control system analysis computing; discrete systems; intelligent tools; nonlinear dynamical systems; numerical software; one-parameter systems; robustness analysis; stability; state space analysis; Artificial intelligence; Automatic control; Control systems; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Robust control; Robust stability; Stability analysis; State-space methods;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203861
