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HyStar : A Matlab Toolbox for Robust Regulation of Polytopic Uncertain Piecewise Linear Hybrid Systems
 

Summary: HyStar : A Matlab Toolbox for Robust Regulation of
Polytopic Uncertain Piecewise Linear Hybrid Systems
Hai Lin Panos J. Antsaklis
Department of Electrical Engineering,
University of Notre Dame, Notre Dame, IN 46556, USA
E-mail: {hlin1, antsaklis.1}@nd.edu
ISIS Tech. Report - 2003-006
Abstract
This paper describes a Matlab toolbox for computational analysis and synthesis
of a class of piecewise linear hybrid dynamical systems, which are affected by both
time varying parametric uncertainties and persistent exterior disturbances. The robust
tracking and regulation control problem for such uncertain piecewise linear systems is
investigated and solved in two stages. The first stage is to analyze whether there exists
an admissible control law such that the closed-loop system exhibits desired behavior. If
a specified behavior can be forced on the plant by a control mechanism, then it is called
attainable. The method for attainability checking is developed and implemented which
employs the predecessor operator and backward reachability analysis. The second stage
is to design such admissible control law for a given attainable tracking and regulation
specification. The procedure for controller design proposed and implemented here is
based on linear programming techniques. A numerical example is used for illustration

  

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

 

Collections: Engineering