Interval State Estimation of Linear Multicellular Systems

Linear multicellular system is a type of differential inclusion system, which can be deemed as an extension of linear control system with set-valued mapping. As an important issue in existing control systems, interval state estimation has been widely applied in engineering practices. Over the years, the objects of the studies on interval state estimation have been extended from the initial linear time-invariant systems to linear time-varying systems, chaotic systems, feedback linearization systems, and nonlinear Lipschitz systems. However, there is no report on the design of interval observer for linear multicellular system. To make up for this gap, this chapter attempts to explore the design of an interval observer for linear multicellular systems.

[1]  Jean-Luc Gouzé,et al.  Near optimal interval observers bundle for uncertain bioreactors , 2007 .

[2]  Olivier Bernard,et al.  Interval observers for linear time-invariant systems with disturbances , 2011, Autom..

[3]  Rajesh Rajamani,et al.  Nonlinear Observer for Bounded Jacobian Systems, With Applications to Automotive Slip Angle Estimation , 2011, IEEE Transactions on Automatic Control.

[4]  Alexander Medvedev,et al.  A state observer for continuous oscillating systems under intrinsic pulse-modulated feedback , 2012, Autom..

[5]  Olivier Bernard,et al.  Robust interval observers for global Lipschitz uncertain chaotic systems , 2010, Syst. Control. Lett..

[6]  Hamid Reza Karimi,et al.  New Approach to Fixed-Order Output-Feedback Control for Piecewise-Affine Systems , 2018, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Jianbin Qiu,et al.  A Piecewise-Markovian Lyapunov Approach to Reliable Output Feedback Control for Fuzzy-Affine Systems With Time-Delays and Actuator Faults , 2018, IEEE Transactions on Cybernetics.

[8]  Christophe Combastel,et al.  Fault detection based on robust adaptive thresholds: A dynamic interval approach , 2013, Annu. Rev. Control..

[9]  Denis V. Efimov,et al.  Control of Nonlinear and LPV Systems: Interval Observer-Based Framework , 2013, IEEE Transactions on Automatic Control.

[10]  Alexandre Trofino,et al.  Parametric Lyapunov function approach to H/sub 2/ analysis and control of linear parameter-dependent systems , 2003 .

[11]  James Lam,et al.  Positive Observers and Dynamic Output-Feedback Controllers for Interval Positive Linear Systems , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.