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Design of piecewise linear hybrid dynamical systems using a control regulator approach
 

Summary: Design of piecewise linear hybrid dynamical systems using a
control regulator approach
X. KOUTSOUKOS*{
and P. ANTSAKLIS{
{
Department of Electrical Engineering and Computer Science, Vanderbilt University, Nashville,
TN 37235, USA
{
Department of Electrical Engineering, University of Notre Dame, USA
This paper presents a novel framework for hierarchical control of piecewise linear hybrid
dynamical systems. The main characteristic of this class of hybrid systems is that the
continuous dynamics are described by linear difference equations, the discrete dynamics by
finite automata, and the interaction between the continuous and the discrete part is defined by
piecewise linear maps. Control design is formulated as a regulator problem and algorithms for
the synthesis of dynamical controllers are developed. Control specifications are modeled as
finite automata. Both static specifications that do not change as time progresses and dynamic
specifications that include sequencing of events and eventual execution of actions are
considered. Control design is implemented using finite automata and linear programming
techniques. Simulation results of a tank system are used to illustrate the approach.
Keywords: Hybrid; Piecewise linear; Regulator; Discrete abstractions

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering