On Feedback Transformation and Integral Input-to-State Stability in Designing Robust Interval Observers for Control Systems

Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)


The problem of designing interval observers is addressed for output feedback control of a class of nonlinear systems in this chapter. The framework of integral input-to-state stability is exploited to drive the estimated intervals and the state variables to the origin asymptotically when disturbances converge to zero. Moreover interval observers are tuned with feedback gain. A reduced-order interval observer is proposed, and the flexibility offered by gains in designing observer is related to the existence of reduced-order interval observers. Comparative simulations are given to illustrate the theoretical results.


Interval observers Reduced-order observers Nonlinear systems Output feedback control Guaranteed state estimation. 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Université de Valenciennes et du Hainaut-CambrésisValenciennes Cedex 9France
  2. 2.Kyushu Institute of TechnologyFukuokaJapan

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