Intelligent Simulation in Designing Complex Dynamic Control Systems

We develop and demonstrate an autonomous control synthesis system called Phase Space Navigator for nonlinear control systems, with which a global, non-linear controller for a dynamical system can be automatically synthesized. The Phase Space Navigator intelligently plans and navigates system trajectories in phase space. It nds optimal global paths from an initial state to the goal state in the phase space, consisting of a sequence of path segments connected at intermediate points where the control parameter changes. The method relies on the knowledge of dynamics in terms of phase-space geometry. Modeling and parsing phase spaces into trajectory ow pipes provide a way to eeciently reason about the phase-space structures and search for global control paths. The Phase Space Navigator has automatically synthesized a high-quality global controller for stabilizing a maglev train. The Phase Space Navigator is particularly suitable for synthesizing high-performance control systems that do not lend themselves to traditional design and analysis techniques. It can also assist control engineers in exploring much larger design spaces than otherwise possible. design; nonlinear control systems; numeric/symbolic processing.