Weighted H ∞ Filtering of Switched Systems with Time-Varying Delay: Average Dwell Time Approach

M. Basin, E. Sanchez, R. Martinez-Zuniga, Optimal linear filtering for systems with multiple state and observation delays. Int. J. Innov. Comput. Inf. Control 3(5), 1309–1320 (2007)

E.K. Boukas, P. Shi, S.K. Nguang, Robust H ∞ control for linear Markovian jump systems with unknown nonlinearities. J. Math. Anal. Appl. 282, 241–255 (2003)

J. Daafouz, P. Riedinger, C. Iung, Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach. IEEE Trans. Automat. Control 47(11), 1883–1887 (2002)

C.E. de Souza, A. Trofino, An LMI approach to the design of robust H 2 filters, in Recent Advances on Linear Matrix Inequality Methods in Control, Philadelphia, PA (1999)

R. DeCarlo, M. Branicky, S. Pettersson, B. Lennartson, Perspectives and results on the stability and stabilizability of hybrid systems. Proc. IEEE 88(7), 1069–1082 (2000)

H. Gao, C. Wang, Delay-dependent robust H ∞ and L 2-L ∞ filtering for a class of uncertain nonlinear time-delay systems. IEEE Trans. Automat. Control 48(9), 1661–1666 (2003)

H. Gao, C. Wang, Robust L 2-L ∞ filtering for uncertain systems with multiple time-varying state delays. IEEE Trans. Circuits Syst. (I) 50(4), 594–599 (2003)

H. Gao, J. Lam, C. Wang, Model simplification for switched hybrid systems. Syst. Control Lett. 55(12), 1015–1021 (2006)

J.C. Geromel, M.C. De Oliveira, H 2 and H ∞ robust filtering for convex bounded uncertain systems. IEEE Trans. Circuits Syst. (I) 50(4), 594–599 (2003)

J.P. Hespanha, A.S. Morse, Stability of switched systems with average dwell time, in Proc. 38th Conf. Decision Control, Phoenix, AZ (1999), pp. 2655–2660

J.P. Hespanha, A.S. Morse, Switching between stabilizing controllers. Automatica 38(11), 1905–1917 (2002)

L. Hetel, J. Daafouz, C. Iung, Stabilization of arbitrary switched linear systems with unknown time-varying delays. IEEE Trans. Automat. Control 51(10), 1668–1674 (2006)

B. Hu, A.N. Michel, Stability analysis of digital feedback control systems with time-varying sampling periods. Automatica 36, 897–905 (2000)

H. Ishii, B.A. Francis, Stabilizing a linear system by switching control with dwell time. IEEE Trans. Automat. Control 47(12), 1962–1973 (2002)

S.H. Jin, J.B. Park, Robust H ∞ filter for polytopic uncertain systems via convex optimization. IEE Proc. Part D. Control Theory Appl. 148, 55–59 (2001)

D.K. Kim, P.G. Park, J.W. Ko, Output-feedback H ∞ control of systems over communication networks using a deterministic switching system approach. Automatica 40, 1205–1212 (2004)

H. Li, M. Fu, A linear matrix inequality approach to robust H ∞ filtering. IEEE Trans. Signal Process. 45(9), 2338–2350 (1997)

D. Liberzon, Switching in Systems and Control (Birkhauser, Boston, 2003)

C. Meyer, S. Schroder, R.W. De Doncker, Solid-state circuit breakers and current limiters for medium-voltage systems having distributed power systems. IEEE Trans. Power Electron. 19, 1333–1340 (2004)

A.S. Morse, Supervisory control of families of linear set-point controllers, part I: Exact matching. IEEE Trans. Automat. Control 41(10), 1413–1431 (1996)

I.R. Petersen, A.V. Savkin, Robust Kalman Filtering for Signals and Systems with Large Uncertainties (Birkhauser, Boston, 1999)

P. Shi, Robust Kalman filtering for continuous-time systems with discrete-time measurements. IMA J. Math. Control Inf. 16(3), 221–232 (1999)

P. Shi, E.K. Boukas, R.K. Agarwal, Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Trans. Automat. Control 44(11), 2139–2144 (1999)

X.M. Sun, J. Zhao, D.J. Hill, Stability and L 2-gain analysis for switched delay systems: a delay-dependent method. Automatica 42, 1769–1774 (2006)

R. Wang, J. Zhao, Exponential stability analysis for discrete-time switched linear systems with time-delay. Int. J. Innov. Comput. Inf. Control 3(6B), 1557–1564 (2007)

L. Wu, J. Lam, Sliding mode control of switched hybrid systems with time-varying delay. Int. J. Adapt. Control Signal Process 22(10), 909–931 (2008)

L. Wu, Z. Wang, Guaranteed cost control for linear switched systems with neutral delay via dynamic output feedback. Int. J. Syst. Sci. 40(7), 717–728 (2009)

L. Wu, W.X. Zheng, H ∞ model reduction for switched hybrid systems with time-varying delay. Automatica 45(1), 186–193 (2009)

M. Wu, Y. He, J.H. She, G.P. Liu, Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40(8), 1435–1439 (2004)

L. Wu, P. Shi, H. Gao, C. Wang, H ∞ filtering for 2D Markovian jump systems. Automatica 44(7), 1849–1858 (2008)

S. Xu, Robust H ∞ filtering for a class of discrete-time uncertain nonlinear systems with state delay. IEEE Trans. Circuits Syst. (I) 49, 1853–1859 (2002)

S. Xu, T. Chen, Reduced-order H ∞ filtering for stochastic systems. IEEE Trans. Signal Process. 50(12), 2998–3007 (2002)

S. Xu, J. Lam, Improved delay-dependent stability criteria for time-delay systems. IEEE Trans. Automat. Control 50(3), 384–387 (2005)

D. Yue, Q.L. Han, Robust H ∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Trans. Signal Process. 52(11), 3200–3212 (2004)

G. Zhai, B. Hu, K. Yasuda, A.N. Michel, Disturbance attenuation properties of time-controlled switched systems. J. Franklin Inst. 338(7), 765–779 (2001)

G. Zhai, H. Lin, Y. Kim, J. Imae, T. Kobayashi, L 2 gain analysis for switched systems with continuous-time and discrete-time subsystems. Int. J. Control 78(15), 1198–1205 (2005)