We show that the existence of a quantized controller for a given Discrete Time Linear Hybrid System (DTLHS) is undecidable. This is a relevant class of controllers since control software always implements a quantized controller. Furthermore, we investigate the relationship between dense time modelling and discrete time modelling by showing that any Rectangular Hybrid Automaton (and thus, any Ti...

Hybrid Electric Vehicles (HEVs) are driven by two energy convertors, i.e., an Internal Combustion (IC) engine and an electric machine. To make powertrain of HEV as efficient as possible, proper management of the energy elements is essential. This task is completed by HEV controller, which splits power between the IC engine and Electric Motor (EM). In this paper, a Genetic-Fuzzy control strategy...

ion: The process of ignoring irrelevant details in a complicated model, while preserving properties of interest. Automaton: A mathematical model for a discrete-state system. Composition: The process of interconnecting hybrid systems. Controller: Generates (control) signals that make a system behave in a desired way. Continuous-time system: Dynamic system defined by differential equations. Decid...

This chapter addresses the problem of controlling a dynamical process using a hybrid controller, i.e., a controller that combines continuous dynamics with discrete logic. Typically, the discrete logic is used to effectively switch between several continuous controls laws and is called a supervisor. We review several tools that can be found in the literature to design this type of hybrid control...

Hybrid systems are continuous variable, continuous time systems with a phased operation. Within each phase the system evolves continuously according to the dynamical law of that phase, and when an event occurs, the system makes a transition from one phase to the next. Thus, hybrid systems display both discrete and continuous behavior. The discrete behavior consists of abrupt transitions between...

In this article a general class of hybrid optimal control problems with continuous and discrete state variables and control inputs is defined. After a brief review of conventional optimal control, major novel challenges resulting from the hybrid nature are discussed. Some application problems are comparatively easy to solve because of the fixed or known sequence of discrete events; however, if ...

The tracking of objects in real time lends itself to vast industrial and practical applications; of interest is the tracking of objects within a manipulator's workspace by using machine vision. This paper presents the basics for control by vision of a 3-DOF robotic manipulator using artificial intelligence. The object or objects are first identified, next the object's movement or trajectory is ...

Abstract: Hybrid control laws often naturally arise in stabilization problems with constrained control. These control laws are sometimes not smooth which can lead to difficulties in stability proofs. In this paper we show that for a certain class of hybrid systems the stability properties follow from the stability properties of an appropriate linearization. As an application we show that surge ...

Most practical control systems involve both analogue and logic components. Hybrid system is a generic term for such systems, where the time-driven and event-driven dynamics are interacting. These systems arise naturally in many applications of automatic control, for example when a physical plant is controlled by a finite set of controls. The field of hybrid systems is a recent and very active r...