Mathematical Modeling, Analysis, and Control of Hybrid Dynamical Systems

Modeling and Analysis of Hybrid Control Systems

A hybrid control system contains both continuous-time and discrete event components. Specifically, the plant is a continuoustime system modeled by differential equations, and the controller is a discrete event system modeled by an automaton. This paper presents a framework for modeling hybrid control systems including the necessary interface between the plant and controller. A method to represe...

Modeling and Analysis of Hybrid Control Systems

We propose a formal approach to the modeling and analysis of hybrid control systems. The approach consists of the interleaved phases of hybrid dynamic system modeling, requirements speciication, hybrid control design and overall behavior veriication. We have developed Constraint Nets as a semantic model for hybrid dynamic systems. Using this model, continuous, discrete and event-driven componen...

Nonlinear Hybrid Dynamical Systems: Modeling, Optimal Control, and Applications

Nonlinear hybrid dynamical systems are the main focus of this paper. A modeling framework is proposed, feedback control strategies and numerical solution methods for optimal control problems in this setting are introduced, and their implementation with various illustrative applications are presented. Hybrid dynamical systems are characterized by discrete event and continuous dynamics which have...

Hybrid modeling and prediction of dynamical systems

Scientific analysis often relies on the ability to make accurate predictions of a system's dynamics. Mechanistic models, parameterized by a number of unknown parameters, are often used for this purpose. Accurate estimation of the model state and parameters prior to prediction is necessary, but may be complicated by issues such as noisy data and uncertainty in parameters and initial conditions. ...

Hybrid Systems: Modeling, Analysis and Control