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Advances in attractive ellipsoid method for robust control design
dc.creator | Azhmyakov V. | |
dc.creator | Mera M. | |
dc.creator | Juárez R. | |
dc.date | 2019 | |
dc.date.accessioned | 2021-02-05T14:59:01Z | |
dc.date.available | 2021-02-05T14:59:01Z | |
dc.identifier.issn | 10498923 | |
dc.identifier.uri | http://hdl.handle.net/11407/6056 | |
dc.description | Our contribution is devoted to a further theoretic development of the attractive ellipsoid method (AEM). We consider dynamic models given by nonlinear ordinary differential equations in the presence of bounded disturbances. The resulting robustness analysis of the closed-loop system incorporates the celebrated Clarke invariancy concept (an analytic extension of the celebrated Lyapunov methodology). We finally obtain a new general geometric characterization of the AEM-based approach to the robust systems design. Moreover, we also discuss the corresponding numerical aspects of the proposed theoretical extensions of the method. The theoretic results obtained in this contribution are finally illustrated by a practically oriented computational example. © 2018 John Wiley & Sons, Ltd. | |
dc.language.iso | eng | |
dc.publisher | John Wiley and Sons Ltd | |
dc.relation.isversionof | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85058839308&doi=10.1002%2frnc.4446&partnerID=40&md5=7f7bb947baf13aef39643398a6b956a0 | |
dc.source | International Journal of Robust and Nonlinear Control | |
dc.title | Advances in attractive ellipsoid method for robust control design | |
dc.type | Article in Press | eng |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.identifier.doi | 10.1002/rnc.4446 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.affiliation | Azhmyakov, V., Departament of Basic Science, Universidad de Medellin, Medellin, Colombia | |
dc.affiliation | Mera, M., ESIME-Instituto Politécnico Nacional, Mexico City, Mexico, UPIBI-Instituto Politécnico Nacional, Mexico City, Mexico | |
dc.affiliation | Juárez, R., Department of Accounting, Universidad Autonoma de Coahuila, Torreon, Mexico | |
dc.relation.references | Khalil, H.K., (2002) Nonlinear Systems, , Upper Saddle River, NJ, Prentice Hall | |
dc.relation.references | Alazki, J., Poznyak, A., Robust output stabilization for a class of nonlinear uncertain stochastic systems under multiplicative and additive noises: the attractive ellipsoid method (2016) J Ind Manag Optim, 12 (1), pp. 169-186 | |
dc.relation.references | Azhmyakov, V., (2011) On the geometric aspects of the invariant ellipsoid method: application to the robust control design, , In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference;, Orlando, FL | |
dc.relation.references | Azhmyakov, V., Poznyak, A., Gonzalez, O., On the robust control design for a class of nonlinearly affine control systems: the attractive ellipsoid approach (2013) J Ind Manag Optim, 9 (3), pp. 579-593 | |
dc.relation.references | Azhmyakov, V., Poznyak, A., Juárez, R., On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach (2013) J Franklin Inst, 350 (8), pp. 2229-2243 | |
dc.relation.references | González, O., Poznyak, A., Azhmyakov, V., (2009) On the robust control design for a class of nonlinear affine control systems: the invariant ellipsoid approach, , In Proceedings of the 6th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE);, Toluca, Mexico | |
dc.relation.references | Mera, M., Castaños, F., Poznyak, A., Quantised and sampled output feedback for nonlinear systems (2014) Int J Control, 87 (12), pp. 2475-2487 | |
dc.relation.references | Mera, M., Polyakov, A., Perruquetti, W., Zheng, G., (2015) Finite-time attractive ellipsoid method using implicit Lyapunov functions, , In Proceedings of the 54th Conference on Decision and Control (CDC);, Osaka, Japan | |
dc.relation.references | Polyakov, A., Poznyak, A., Lyapunov function design for finite-time convergence analysis: “twisting” controller for second-order sliding mode realization (2009) Automatica, 45 (2), pp. 444-448 | |
dc.relation.references | Polyakov, A., Minimization of disturbances effects in time delay predictor-based sliding mode control systems (2012) J Franklin Inst, 349 (4), pp. 1380-1396 | |
dc.relation.references | Poznyak, A.S., (2008) Advanced Mathematical Tools for Automatic Control Engineers: Deterministic Techniques, 1. , Vol, Amsterdam, The Netherlands, Elsevier | |
dc.relation.references | Poznyak, A., Azhmyakov, V., Mera, M., Practical output feedback stabilisation for a class of continuous-time dynamic systems under sample-dada outputs (2011) Int J Control, 84 (8), pp. 1408-1416 | |
dc.relation.references | Poznyak, A., Polyakov, A., Azhmyakov, V., (2014) Attractive Ellipsoids in Robust Control, , Basel, Switzerland, Springer International Publishing Switzerland | |
dc.relation.references | Poznyak, T., Chairez, I., Perez, C., Poznyak, A., Switching robust control for ozone generators using the attractive ellipsoid method (2014) ISA Trans, 53 (6), pp. 1796-1806 | |
dc.relation.references | Azhmyakov, V., Cabrera Martinez, J., Poznyak, A., Serrezuela, R.R., (2015) Optimization of a class of nonlinear switched systems with fixed-levels control inputs, , In Proceedings of the 2015 American Control Conference (ACC);, Chicago, IL | |
dc.relation.references | Clarke, F.H., Ledyaev, Y.S., Stern, R.J., Wolenski, P.R., (1998) Nonsmooth Analysis and Control Theory, , New York, NY, Springer-Verlag New york | |
dc.relation.references | Azhmyakov, V., Ahmed, A., Verriest, E.I., (2016) On the optimal control of systems evolving with state suprema, , In Proceedings of the 55th IEEE Conference on Decision and Control (CDC);, Las Vegas, NV | |
dc.relation.references | Bonilla, M., Malabre, M., Azhmyakov, V., (2015) Decoupling of internal variable structure for a class of switched systems, , In Proceedings of the 2015 European Control Conference (ECC);, Linz, Austria | |
dc.relation.references | Bonilla, M., Malabre, M., Azhmyakov, V., An implicit systems characterization of a class of impulsive linear switched control processes. Part 1: modeling (2015) Nonlinear Anal Hybrid Syst, 15, pp. 157-170 | |
dc.relation.references | Zubov, V.I., (1962) Mathematical Methods for the Study of Automatic Control Systems, , New York, NY, Pergamon Press | |
dc.relation.references | Rockafellar, R.T., Wets, R.J.-B., (1998) Variational Analysis, , Berlin, Germany, Springer-Verlag Berlin Heidelberg | |
dc.relation.references | Hale, J.K., Lunel, S.M.V., (1993) Introduction to Functional Differential Equations, , New York, NY, Springer Science+Business Media New York | |
dc.relation.references | Azhmyakov, V., Juarez, R., On the projected gradient methods for switched-mode systems optimization (2015) IFAC-Pap, 48 (27), pp. 181-186 | |
dc.relation.references | Blanchini, F., Miani, S., (2008) Set-Theoretic Methods in Control, , Basel, Switzerland, Birkhäuser | |
dc.relation.references | Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V., (1994) Linear Matrix Inequalities in System and Control Theory, , Philadelphia, PA, Society for Industrial and Applied Mathematics | |
dc.relation.references | Dahleh, M.A., Pearson, J.B., Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization (1988) IEEE Trans Autom Control, 33 (8), pp. 722-731 | |
dc.relation.references | Haddad, W., Chellaboina, V., (2008) Nonlinear Dynamical Systems and Control: a Lyapunov-Based Approach, , Princeton, NJ, Princeton University Press | |
dc.relation.references | Kurzhanski, A.B., Varaiya, P., Ellipsoidal techniques for reachability under state constraints (2006) SIAM J Control Optim, 45 (4), pp. 1369-1394 | |
dc.relation.references | Kurzhanski, A.B., Veliov, V.M., (1994) Modeling Techniques for Uncertain Systems, , Basel, Switzerland, Birkhäuser | |
dc.relation.references | Michel, A.N., Hou, L., Liu, D., (2007) Stability of Dynamical Systems: Continuous, Discontinuous, and Discrete Systems, , New York, NY, Birkhäuser | |
dc.relation.references | Polyak, B.T., Nazin, S.A., Durieu, C., Walter, E., Ellipsoidal parameter or state estimation under model uncertainty (2004) Automatica, 40 (7), pp. 1171-1179 | |
dc.relation.references | Polyak, B.T., Topunov, M.V., Suppression of bounded exogenous disturbances: output control (2008) Autom Remote Control, 69 (5), pp. 801-818 | |
dc.relation.references | Aliprantis, C.D., Border, K.C., (2006) Infinite Dimensional Analysis: A Hitchhiker's Guide, , Berlin, Germany, Springer-Verlag Berlin Heidelberg | |
dc.relation.references | Glover, J., Schweppe, F., Control of linear dynamic systems with set constrained disturbances (1971) IEEE Trans Autom Control, 16 (5), pp. 411-423 | |
dc.relation.references | Azhmyakov, V., Basin, M., Reincke-Collon, C., (2014) Optimal LQ-type switched control design for a class of linear systems with piecewise constant inputs, , In Proceedings of the 19th IFAC World Congress;, Cape Town, South Africa | |
dc.relation.references | Leonhard, W., (1996) Control of Electrical Drives, , Berlin, Germany, Springer-Verlag Berlin Heidelberg | |
dc.relation.references | Hu, T., Lin, Z., Composite quadratic Lyapunov functions for constrained control systems (2003) IEEE Trans Autom Control, 48 (3), pp. 440-450 | |
dc.relation.references | Qu, Z., (1998) Robust Control of Nonlinear Uncertain Systems, , New York, NY, John Wiley & Sons | |
dc.relation.references | Freeman, R.A., Kokotović, P., Robust control Lyapunov functions (2008) Robust Nonlinear Control Design: State-Space and Lyapunov Techniques, pp. 33-63. , Boston, MA, Birkhäuser | |
dc.relation.references | Kharitonov, V.L., Zhabko, A.P., Lyapunov–Krasovskii approach to the robust stability analysis of time-delay systems (2003) Automatica, 39 (1), pp. 15-20 | |
dc.relation.references | Li, X.P., Chang, B.C., Banda, S., Yeh, H., Robust control systems design using H-infinity optimization theory (1992) J Guid Control Dyn, 15 (4), pp. 944-952 | |
dc.relation.references | Kwakernaak, H., Robust control and H-infinity optimization—tutorial paper (1993) Automatica, 29 (2), pp. 255-273 | |
dc.relation.references | Otsuki, M., Yoshida, K., (2004) Nonstationary robust control for time-varying system, , In Proceedings of the 2004 American Control Conference;, Boston, MA | |
dc.relation.references | Lin, F., (2007) Robust Control Design: An Optimal Control Approach, , Chichester, UK, John Wiley & Sons | |
dc.relation.references | Daher Adegas, F., Stoustrup, J., Robust structured control design via LMI optimization (2011) IFAC Proc Vol, 44 (1), pp. 7933-7938 | |
dc.relation.references | Shtessel, Y., Edwards, C., Fridman, L., Levant, A., (2013) Sliding Mode Control and Observation, , New York, NY, Birkhäuser | |
dc.relation.references | Liberzon, D., (2003) Switching in Systems and Control, , Boston, MA, Birkhäuser | |
dc.relation.references | Lygeros, J., (2003) Lecture Notes on Hybrid Systems, , Cambridge, UK, Cambridge University Press | |
dc.relation.references | Shaikh, M.S., Caines, P.E., On the hybrid optimal control problem: theory and algorithms (2007) IEEE Trans Autom Control, 52 (9), pp. 1587-1603 | |
dc.relation.references | Wardi, Y., Egerstedt, M., Twu, P., (2012) A controlled-precision algorithm for mode-switching optimization, , In Proceedings of the 51st IEEE Conference on Decision and Control (CDC);, Maui, HI | |
dc.type.version | info:eu-repo/semantics/publishedVersion | |
dc.type.driver | info:eu-repo/semantics/other |
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