Actas de congresos
Stabilization Of Continuous-time Nonlinear Switched Systems
Registro en:
0780395689; 9780780395688
Proceedings Of The 44th Ieee Conference On Decision And Control, And The European Control Conference, Cdc-ecc '05. , v. 2005, n. , p. 3309 - 3314, 2005.
10.1109/CDC.2005.1582672
2-s2.0-33847231304
Autor
Colaneri P.
Geromel J.C.
Astolfi A.
Institución
Resumen
The first result of this paper is a strategy for global stabilization of continuous time nonlinear switched system. The strategy is of closed loop nature (trajectory dependent) and is designed from the solution of what we call nonlinear Lyapunov-Metzler inequalities from which the stability condition is expressed. Next, results on the stabilization of nonlinear time varying polytopic systems are provided. © 2005 IEEE. 2005
3309 3314 Artstein, Z., Stabilization with relaxed controls (1983) Nonlinear Anal. TMA, 7, pp. 1163-1173 Boyd, S.P., El Ghaoui, L., Feron, E., Balakrishnan, V., (1994) Linear Matrix Inequalities in System and Control Theory, , SIAM, Philadelphia Branicky, M.S., Multiple Lyapunov functions and other analysis tools for switched and hybrid systems (1998) IEEE Trans. Automat. Contr, 43, pp. 475-482 Feng, X., Loparo, K.A., Ji, Y., Chizeck, H.J., Stochastic stability properties of jump linear systems (1992) IEEE Trans. Automat. Contr, 37, pp. 38-53 Geromel, J.C., Peres, P.L.D., Bernussou, J., On a convex parameter space method for linear control design of uncertain systems (1991) SIAM J. Control Optim, 29, pp. 381-402 Geromel, J.C., de Oliveira, M.C., Hsu, L., LMI characterization of structural and robust stability (1998) Linear Algebra and its Applications, 285, pp. 69-80 Hespanha, J.P., Uniform stability of switched linear systems : Extensions of LaSalle's principle (2004) IEEE Trans. Automat. Contr, 49, pp. 470-482 Hockerman-Frommer, J., Kulkarni, S.R., Ramadge, P.J., Controller switching based on output predictions errors (1998) IEEE Trans. Automat. Contr, 43, pp. 596-607 Johansson, M., Rantzer, A., Computation of piecewise quadratic Lyapunov functions for hybrid systems (1998) IEEE Trans. Automat. Contr, 43, pp. 555-559 C. Prieur, A Robust Globally Asymptotically Stabilizing Feedback: The Example of the Artstein's Circles, A. Isidori, F. Lamnabhi-Lagarrigue, W. Respondek, eds., in Nonlinear Control in the Year 2000, 2 (NCN), Lecture Notes in Control and Information Sciences, 258, Springer Verlag, London (2000), pp. 279-300Prieur, C., Uniting local and global controllers with robustness to vanishing noise (2001) Math. Control Signals Systems, 14, pp. 143-172 Prieur, C., Astolfi, A., Robust stabilization of chained systems via hybrid control (2003) IEEE Trans. Automat. Control, 48, pp. 1768-1772 Rockafellar, R., (1970) Convex Analysis, , Princeton Press E.D. Sontag, Clocks and insensitivity to small measurement errors. ESIAM: COCV, www.emath.fr/cocv/ 4 (1999), pp. 537-557Xu, X., Antsaklis, P.J., Optimal control of switched systems based on parameterization of the switching instants (2004) IEEE Trans. Automat. Contr, 49, pp. 2-16 Ye, H., Michel, A.N., Hou, L., Stability theory for hybrid dynamical systems (1998) IEEE Trans. Automat. Contr, 43, pp. 461-474 Liberzon, D., (2003) Switching in Systems and Control, , Birkhauser Zhao, J., Dimirovski, G.M., Quadratic stability of a class of switched nonlinear systems (2004) IEEE Trans. Automat. Contr, 49, pp. 574-578 Krishna M. Garg, Theory of Differentiation : A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Wiley-Interscience, 1998J.C. Geromel, P. Colaneri, Stabilization of continuous-time switched systems, Proc. 16th IFAC World Congress, Prague, 2005S. Prajna, A. Papachristodoulou. Analysis of switched and hybrid systems, Proc. American Control Conference, Denver, 2003