Multiplant and ISM Output Control

  • Leonid Fridman
  • Alexander Poznyak
  • Francisco Javier Bejarano
Part of the Systems & Control: Foundations & Applications book series (SCFA)


Here, we consider the application of a min–max optimal control based on the LQ index for a set of systems where only the output information is available. Here every system is affected by matched uncertainties, and we propose to use an output integral sliding mode to compensate the matched uncertainties right after the beginning of the process. For the case when the extended system is free of invariant zeros, a hierarchical sliding mode observer is applied. The error of realization of the proposed control algorithm is estimated in terms of the sampling step and actuator time constant. An example illustrates the suggested method of design.


State Vector Slide Mode Control Negative Real Part Equivalent Control Propose Control Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 11.
    V. Utkin, Sliding Modes in Control and Optimization (Springer, Berlin, 1992)CrossRefMATHGoogle Scholar
  2. 48.
    C. Chen, Linear Systems: Theory and Design (Oxford University Press, New York, 1999)Google Scholar
  3. 50.
    V. Boltyansky, A. Poznyak, Robust maximum principle in minimax control. Int. J. Control 72(4), 305–314 (1999)CrossRefMATHMathSciNetGoogle Scholar
  4. 53.
    A. Poznyak, T. Duncan, B. Pasik-Duncan, V. Boltyansky, Robust maximum principle for minimax linear quadratic problem. Int. J. Control 75(15), 1170–1177 (2002)CrossRefMATHGoogle Scholar
  5. 54.
    D.D. Siljak, Decentralized Control of Complex Systems (Academic, New York, 1991)Google Scholar
  6. 55.
    A. Linnemann, Decentralized Control of Dynamically Interconnected Systems (Universität Bremen, Bremen, 1983)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Leonid Fridman
    • 1
  • Alexander Poznyak
    • 2
  • Francisco Javier Bejarano
    • 3
  1. 1.Departamento de Ingeniería de Control y RobóticaUniversidad Nacional Autonoma de MexicoMexico CityMexico
  2. 2.Department of Control AutomaticoCentro de Investigacion y Estudios Avanzados (CINVESTAV)Mexico CityMexico
  3. 3.Department of Research and Posgraduates Studies (SEPI)ESIME Ticomán, Instituto Politécnico NacionalMexico CityMexico

Personalised recommendations