Finite Time State Estimation and Fault Detection for Linear Switched Systems with Unknown Inputs

In this paper, we consider using finite time switched observer to estimate the states and detect the faults for a type of linear switched system with unknown inputs. We first design the finite time switched observer by a reduced-order switched system which originates from the primary switched system, where the unknown inputs are removed with the help of state and output transformations. A cluster of finite time observers are presented for all of the reduced-order subsystems. Then, by choosing any small time parameters, we can get the finite time state estimation of the reduced-order switched system by finite time switched observers. And the finite time state estimation of the primary switched system is acquired by state equivalent transformations. Next, we put forward a fault detection method using output residual. Finally, a MATLAB simulation result is presented to confirm the reliability of the method we put forward.

[1]  Xin Wang,et al.  Active Mode Identification and Continuous State Estimation for Switched Linear Systems with Unknown Inputs and Slow Switching Signal , 2015, Circuits Syst. Signal Process..

[2]  Guang-Hong Yang,et al.  Simultaneous control and fault detection for discrete-time switched delay systems under the improved persistent dwell time switching , 2016 .

[3]  Damien Koenig,et al.  Filtering and fault estimation of descriptor switched systems , 2016, Autom..

[4]  Shengyuan Xu,et al.  Actuator fault detection for discrete-time switched linear systems with output disturbance , 2017 .

[5]  Debasish Chatterjee,et al.  A graph theoretic approach to input-to-state stability of switched systems , 2015, Eur. J. Control.

[6]  Shuzhi Sam Ge,et al.  Analysis and synthesis of switched linear control systems , 2005, Autom..

[7]  Hamid Reza Karimi,et al.  Robust Delay-Dependent $H_{\infty}$ Control of Uncertain Time-Delay Systems With Mixed Neutral, Discrete, and Distributed Time-Delays and Markovian Switching Parameters , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Chi K. Tse,et al.  Complex behavior in switching power converters , 2002, Proc. IEEE.

[9]  Fen Wu,et al.  Analysis and control of switched linear systems via dwell-time min-switching , 2014, Syst. Control. Lett..

[10]  Damien Koenig,et al.  Unknown Input Observers for Switched Nonlinear Discrete Time Descriptor Systems , 2008, IEEE Transactions on Automatic Control.

[11]  Mohamad Ali Bagherzadeh,et al.  Robust exponential stability and stabilisation of parametric uncertain switched linear systems under arbitrary switching , 2016 .

[12]  Huaguang Zhang,et al.  Stabilization of non-minimum phase switched nonlinear systems with application to multi-agent systems , 2012, Syst. Control. Lett..

[13]  Jun Zhao,et al.  Asynchronous fault detection for continuous-time switched delay systems , 2015, J. Frankl. Inst..

[14]  S. Żak,et al.  Observer design for systems with unknown inputs , 2005 .

[15]  Dan Ye,et al.  Fault detection filter design for switched systems with quantisation effects and packet dropout , 2017 .

[16]  Pierre Apkarian,et al.  MISSILE AUTOPILOT DESIGN VIA A MULTI-CHANNEL LFT/LPV CONTROL METHOD , 2002 .

[17]  Yang Fu,et al.  The sliding mode load frequency control for hybrid power system based on disturbance observer , 2016 .

[18]  Jamal Daafouz,et al.  Stability analysis and stabilization of switched nonlinear systems : a switched nonlinearity-dependent Lyapunov function , 2008 .

[19]  Alessandro Pisano,et al.  Switched Observers for Switched Linear Systems With Unknown Inputs , 2011, IEEE Transactions on Automatic Control.

[20]  Robert Engel,et al.  A continuous-time observer which converges in finite time , 2002, IEEE Trans. Autom. Control..

[21]  Junqi Yang,et al.  Robust Full-Order and Reduced-Order Observers for a Class of Uncertain Switched Systems , 2016 .