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Research Papers

On the Existence of Controlled Maximal Contractive Sets for Multi Input Linear Systems

[+] Author and Article Information
Andrea Cristofaro

School of Science and Technology,
University of Camerino,
62032 Camerino (MC), Italy
e-mail: andrea.cristofaro@unicam.it

Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received March 8, 2012; final manuscript received December 6, 2012; published online March 28, 2013. Assoc. Editor: Sergey Nersesov.

J. Dyn. Sys., Meas., Control 135(3), 031017 (Mar 28, 2013) (8 pages) Paper No: DS-12-1078; doi: 10.1115/1.4023402 History: Received March 08, 2012; Revised December 06, 2012

In this work, the existence of maximal contractive sets for unstable multi input linear systems is discussed. It is shown that, under suitable algebraic conditions, linear feedback laws can be designed such that the set of values satisfying the saturation constraints is an invariant set for the closed-loop system, which is asymptotically stable.

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Figures

Grahic Jump Location
Fig. 1

Evolution of the state norm ||x(t)||

Grahic Jump Location
Fig. 2

Evolution of the controls u1(t)=K1*x(t) (dashed line), u2(t)=K2*x(t) (dotted line), and u3(t)=K3*x(t) (continuous line)

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