Quasi-time-dependent static output feedback control of 2-D switched systems with mode-dependent persistent dwell-time

In this paper, the static output feedback control for discrete-time two-dimensional switched systems with mode-dependent persistent dwell-time is studied. The discrete-time two-dimensional switched system is formulated by the famous Fornasini–Marchesini local state-space model. Based on a suitable Lyapunov function for mode-dependent persistent dwell-time, a quasi-time-dependent static output feedback controller which guarantee the resulting closed-loop system exponentially stable is presented. The theoretical result is verified by a numerical example.

[1]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[2]  Yougao Fan,et al.  Quasi-time-dependent stabilisation for 2-D switched systems with persistent dwell-time , 2019, Int. J. Syst. Sci..

[3]  Zheng Liu,et al.  Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time , 2018, J. Frankl. Inst..

[4]  Jianbin Qiu,et al.  Quasi-time-dependent control for 2-D switched systems with actuator saturation , 2017, Inf. Sci..

[5]  Peng Shi,et al.  Non-weighted quasi-time-dependent H∞ filtering for switched linear systems with persistent dwell-time , 2015, Autom..

[6]  Ligang Wu,et al.  Asynchronous control for 2-D switched systems with mode-dependent average dwell time , 2017, Autom..

[7]  Huijun Gao,et al.  Stabilization and H∞ control of two-dimensional Markovian jump systems , 2004, IMA J. Math. Control. Inf..

[8]  Jianbin Qiu,et al.  A New Design of Delay-Dependent Robust ${\cal H}_{\bm \infty}$ Filtering for Discrete-Time T--S Fuzzy Systems With Time-Varying Delay , 2009, IEEE Transactions on Fuzzy Systems.

[9]  Hieu Trinh,et al.  Switching design for suboptimal guaranteed cost control of 2-D nonlinear switched systems in the Roesser model , 2017 .

[10]  Guang-Da Hu,et al.  Simple criteria for stability of two-dimensional linear systems , 2005 .

[11]  Tasawar Hayat,et al.  H∞ state estimation for discrete-time switching neural networks with persistent dwell-time switching regularities , 2015, Neurocomputing.

[12]  João Pedro Hespanha,et al.  Uniform stability of switched linear systems: extensions of LaSalle's Invariance Principle , 2004, IEEE Transactions on Automatic Control.

[13]  Shuzhi Sam Ge,et al.  Persistent Dwell-Time Switched Nonlinear Systems: Variation Paradigm and Gauge Design , 2010, IEEE Transactions on Automatic Control.

[14]  Guanghui Sun,et al.  Practical tracking control of linear motor via fractional-order sliding mode , 2018, Autom..

[15]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[16]  Ligang Wu,et al.  Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings , 2015, Autom..

[17]  Peng Shi,et al.  Uniform Tube Based Stabilization of Switched Linear Systems With Mode-Dependent Persistent Dwell-Time , 2015, IEEE Transactions on Automatic Control.

[18]  Guanghui Sun,et al.  Switched systems with average dwell time: Computation of the robust positive invariant set , 2017, Autom..

[19]  Corentin Briat,et al.  Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems , 2016, Nonlinear Analysis: Hybrid Systems.