Max-Planck-Institut für Dynamik komplexer technischer Systeme

Abstract

Switched linear systems are an important subclass of hybrid systems and consist of a finite number of linear time-invariant systems with continuous dynamics and some switching mechanism that orchestrates between them. Dynamical systems of this class can be found in various fields of engineering applications, such as aviation technology, power electronics, automotive engineering or power generation.

One of the most important system properties is of course stability. We have studied analytical tools for investigating stability of switched linear systems ^[1] ^[2] ^[3], but have also explored issues in control design. In particular, in ^[4] ^[5] ^[6], the concept of common left eigenstructure assignment is used to achieve exponential stabilisation of switched linear systems with single and multiple inputs.

People involved

Kai Wulff (now with TU Ilmenau)
Ishan Pendharkar (now with Bombardier)
Yashar Kouhi (TU Berlin)
Naim Bajcinca
Jörg Raisch

Cooperation

Robert Shorten, Hamilton Institute, NUI Maynooth, Ireland

Publications

↑ Ishan Pendharkar, Kai Wulff, Jörg Raisch - On the construction of quadratically stable switched linear systems with multiple component systems
Proceedings of the Conference on Decision and Control, 2007 pp. 6274 - 6279
Bibtex
Author : Ishan Pendharkar, Kai Wulff, Jörg Raisch
Title : On the construction of quadratically stable switched linear systems with multiple component systems
In : Proceedings of the Conference on Decision and Control, 2007 -
Address :
Date :
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↑ Ishan Pendharkar, Kai Wulff, Jörg Raisch - A behavioral-theoretic approach to quadratic stability of switched linear systems
13th IEEE IFAC International Conference on Methods and Models in Automation and Robotics , Szczecin, Poland,2007
Bibtex
Author : Ishan Pendharkar, Kai Wulff, Jörg Raisch
Title : A behavioral-theoretic approach to quadratic stability of switched linear systems
In : 13th IEEE IFAC International Conference on Methods and Models in Automation and Robotics -
Address : Szczecin, Poland
Date : 2007

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↑ I. Pendharkar, K. Wulff, J. Raisch - On stability of switched differential algebraic systems – conditions and applications
Proc. IFAC World Congress , Seoul,2008
Bibtex
Author : I. Pendharkar, K. Wulff, J. Raisch
Title : On stability of switched differential algebraic systems – conditions and applications
In : Proc. IFAC World Congress -
Address : Seoul
Date : 2008
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↑ Kouhi, Y., Bajcinca, N. - On the left eigenstructure assignment and state feedback design
Proc. of the American Control Conference pp. 4326-4327,2011
Bibtex
Author : Kouhi, Y., Bajcinca, N.
Title : On the left eigenstructure assignment and state feedback design
In : Proc. of the American Control Conference -
Address :
Date : 2011
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↑ Kouhi, Y., Bajcinca, N. - Robust control of switched linear systems
Proc. Conf. on Decision and Control and European Control Conference ,2011
Bibtex
Author : Kouhi, Y., Bajcinca, N.
Title : Robust control of switched linear systems
In : Proc. Conf. on Decision and Control and European Control Conference -
Address :
Date : 2011
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↑ Kouhi, Y., Bajcinca, N. - Nonsmooth control design for stabilizing switched linear systems by left eigenstructure assignment
Proc. IFAC World Congress pp. 380-385,2011
Bibtex
Author : Kouhi, Y., Bajcinca, N.
Title : Nonsmooth control design for stabilizing switched linear systems by left eigenstructure assignment
In : Proc. IFAC World Congress -
Address :
Date : 2011
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