• Información del curso

    Bienvenidos a la edición 2017 de Análisis y control de sistemas no lineales, que se dictará durante el segundo semestre.

    Horarios de clases: Martes y jueves de 14:30 a 16:00 horas, Salón de Seminarios del IIE.

    Reunión inicial: lunes 31 de julio, 14:30 horas, en el Instituto de Ingeniería Eléctrica.

    Los interesados pueden escribir a monzon @ fing.edu.uy. Hay posibilidades de modificar los horarios, en función de intereses de los alumnos y de la disponibilidad de salones. 

    Objetivos de la asignatura: familiarizar al alumno con la teoría de estabilidad de sistemas no lineales de control (ecuaciones diferenciales a través de las cuales se analiza el comportamiento dinámico de fenómenos reales). Introducir al alumno a las principales áreas del control no lineal, desde el análisis de sistemas hasta el diseño de leyes de control.
    Público objetivo: alumnos avanzados de grado de Ingeniería Eléctrica, Licenciatura en Matemática y Licenciatura en Física, alumnos de los posgrados de Facultad de Ingeniería. 
    Programa de la asignatura
  • Tema 1: presentación del curso

    Reunión inicial. Coordinación de horarios. Presentación del curso. Sistemas de segundo orden.

  • Tema 2: Estabilidad

    Estabilidad.
  • Trabajo final

    A continuación se presentan títulos de artículos que pueden servir de base para el trabajo final.

    Además, se sugiere realizar búsqueda en el portal timbo, poniendo palabras claves afines al curso (Lyapunv stability, Backstepping, Feedback linearization, sliding control, etc.).


    Sliding mode control of constrained nonlinear systems.

    Incremona, Rubagotti, Ferrara (TAC 2017)


    A characterization of Lyapunov inequalities for stability of switched systems.

    Jungers, Ahmadi, Parrilo, Roozvehani. (TAC, 2017)


    Stabilization of Nonlinear Time-Varying Systems Through a New

    Prediction Based Approach

    Frédéric Mazenc and Michael Malisoff (TAC, 2017)


    New Results on Stability of Slowly Switched Systems: A Multiple

    Discontinuous Lyapunov Function Approach

    Xudong Zhao, Peng Shi, Yunfei Yin, and Sing Kiong Nguang (TAC, 2017)


    Dynamical modeling for series-parallel resonant converter under optimized modulation

    Zhiyu Cao ; Junbing Tao ; Frohleke, N. ; Bocker, J. 
    Applied Power Electronics Conference and Exposition (APEC), 2013 Twenty-Eighth Annual IEEE 

    Digital Object Identifier: 10.1109/APEC.2013.6520481 
    Publication Year: 2013 , Page(s): 1391 – 1398


    Pseudo-Linear Analysis of Bang-Bang Controlled Timing Circuits

    Myeong-Jae Park ; Jaeha Kim 
    Circuits and Systems I: Regular Papers, IEEE Transactions on 

    Volume: 60 , Issue: 6
    Digital Object Identifier: 10.1109/TCSI.2012.2220502 
    Publication Year: 2013 , Page(s): 1381 - 1394 
    Cited by:  Papers (1)


    I^2 Average Current Mode Control for Switching Converters

    Yan, Y. ; Lee, F. ; Mattavelli, P. ; Liu, P. 
    Power Electronics, IEEE Transactions on 
    Volume: PP , Issue: 99
    Digital Object Identifier: 10.1109/TPEL.2013.2265381 
    Publication Year: 2013 , Page(s): 1


    Self-oscillating relay feedback systems: A review and recent results

    Aguilar, L.T. 
    Variable Structure Systems (VSS), 2012 12th International Workshop on 
    Digital Object Identifier: 10.1109/VSS.2012.6163511 
    Publication Year: 2012 , Page(s): 254 – 261


    Analysis of multi-phase hybrid ripple-based adaptive on-time control for voltage regulator modules

    Kuang-Yao Cheng ; Feng Yu ; Yingyi Yan ; Lee, F.C. ;Mattavelli, P. ; Wenkai Wu 
    Applied Power Electronics Conference and Exposition (APEC), 2012 Twenty-Seventh Annual IEEE 

    Digital Object Identifier: 10.1109/APEC.2012.6165954 
    Publication Year: 2012 , Page(s): 1088 - 1095 
    Cited by:  Papers (3)


    A sliding-mode control scheme for llc resonant DC/DC converter with fast transient response

    Hao Ma ; Qinwei Liu ; Jin Guo 
    IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society 

    Digital Object Identifier: 10.1109/IECON.2012.6388814 
    Publication Year: 2012 , Page(s): 162 – 167


    Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems

    Cong-Ran Zhao ; Xue-Jun Xie 
    Automatic Control, IEEE Transactions on 

    Volume: 58 , Issue: 2
    Digital Object Identifier: 10.1109/TAC.2012.2208313 
    Publication Year: 2013 , Page(s): 523 – 529


    Generalized Nonlinear Stabilizing Controllers for Hamiltonian-Passive Systems With Switching Devices

    Konstantopoulos, G.C. ; Alexandridis, A.T. 
    Control Systems Technology, IEEE Transactions on 
    Volume: 21 , Issue: 4
    Digital Object Identifier: 10.1109/TCST.2012.2207724 
    Publication Year: 2013 , Page(s): 1479 – 1488


    LaSalle-Yoshizawa Corollaries for Nonsmooth Systems

    Fischer, N. ; Kamalapurkar, R. ; Dixon, W.E. 
    Automatic Control, IEEE Transactions on 
    Volume: 58 , Issue: 9
    Digital Object Identifier: 10.1109/TAC.2013.2246900 
    Publication Year: 2013 , Page(s): 2333 – 2338


    Finite-Time Consensus for Leader-Following Second-Order Multi-Agent Networks

    Zhi-Hong Guan ; Feng-Lan Sun ; Yan-Wu Wang ; Tao Li 
    Circuits and Systems I: Regular Papers, IEEE Transactions on 

    Volume: 59 , Issue: 11
    Digital Object Identifier: 10.1109/TCSI.2012.2190676 
    Publication Year: 2012 , Page(s): 2646 – 2654


    An invariance principle for time-varying systems

    Hancock, E.J. ; Papachristodoulou, A. 
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on 

    Digital Object Identifier: 10.1109/CDC.2012.6426537 
    Publication Year: 2012 , Page(s): 4597 – 4602


    Small-gain theorems of LaSalle type for hybrid systems

    Liberzon, D. ; Nesic, D. ; Teel, A.R. 
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on 

    Digital Object Identifier: 10.1109/CDC.2012.6427079 
    Publication Year: 2012 , Page(s): 6825 – 6830


    Relaxation of hypotheses in LaSalle-Krasovskii type invariance results

    Michel, A.N. ; Ling Hou 
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on 

    Digital Object Identifier: 10.1109/CDC.2012.6427004 
    Publication Year: 2012 , Page(s): 2940 – 2945


    Adaptive sliding mode control using slack variables for affine underactuated systems

    Mingu Kim ; Youdan Kim ; Jaiung Jun 
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on 

    Digital Object Identifier: 10.1109/CDC.2012.6426837 
    Publication Year: 2012 , Page(s): 6090 – 6095


    Lyapunov method for the controlling of the two wheels inverted pendulum

    Gutierrez Frias, O.O. 
    Electrical Engineering Computing Science and Automatic Control (CCE), 2011 8th International Conference on 

    Digital Object Identifier: 10.1109/ICEEE.2011.6106627 
    Publication Year: 2011 , Page(s): 1 – 5

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    Unidirectional synchronization of Hodgkin-Huxley neurons

    Design of Voltage Tracking Control for DC–DC Boost Converter Via Total Sliding-Mode Technique

    Adaptive Backstepping Sliding Mode $H_{infty} $ Control of Static Var Compensator

    Flocking of Multiple Mobile Robots Based on Backstepping

    The Circle Criterion and Input-to-State Stability

    Uniting Two Control Lyapunov Functions for Affine Systems

    Exploration of Bifurcation and Chaos in Buck Converter Supplied From a Rectifier

    A Design-Oriented Combined Approach for Bifurcation Prediction in Switched-Mode Power Converters

    Torus-Bifurcation Mechanisms in a DC/DC Converter With Pulsewidth-Modulated Control

    Examination of bifurcation of the non-linear dynamics in buck-boost converters with input capacitor rectifier

    Stabilization of nonlinear systems with a slowly varying parameter by a control Lyapunov function

    Quadratic stabilization of a class of switched nonlinear systems via single Lyapunov function

    A small-gain condition for iISS of interconnected retarded systems based on Lyapunov–Krasovskii functionals

    Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators

    Set-valued Lyapunov functions for difference inclusions

    Gain-scheduled output-feedback controllers depending solely on scheduling parameters via parameter-dependent Lyapunov functions

    A Kalman–Yakubovich–Popov-type lemma for systems with certain state-dependent constraints


    Boost converter control with ZAD for power factor correction based on FPGA

    Munoz, Juan ; Osorio, Gustavo ; Angulo, Fabiola 
    Power Electronics and Power Quality Applications (PEPQA), 2013 Workshop on 
    Digital Object Identifier: 10.1109/PEPQA.2013.6614942 
    Publication Year: 2013 , Page(s): 1 – 5


    Wheel Slip Control of EVs Based on Sliding Mode Technique With Conditional Integrators

    de Castro, R. ; Araujo, R.E. ; Freitas, D. 
    Industrial Electronics, IEEE Transactions on 
    Volume: 60 , Issue: 8
    Digital Object Identifier: 10.1109/TIE.2012.2202357 
    Publication Year: 2013 , Page(s): 3256 – 3271


    Nonholonomic control of distance-based cyclic polygon formation

    Lee, Byung-Hun ; Lee, Seung-Ju ; Park, Myoung-Chul ;Oh, Kwang-Kyo ; Ahn, Hyo-Sung 
    Control Conference (ASCC), 2013 9th Asian 
    Digital Object Identifier: 10.1109/ASCC.2013.6606033 
    Publication Year: 2013 , Page(s): 1 – 4


    Static output feedback adaptive integral sliding control for interconnected nonlinear systems

    Larbah, Eshag ; Patton, Ron J 
    Control Conference (ASCC), 2013 9th Asian 
    Digital Object Identifier: 10.1109/ASCC.2013.6606063 
    Publication Year: 2013 , Page(s): 1 – 6


    Robust control with sliding mode for a quadrotor unmanned aerial vehicle

    Khelfi, M.F. ; Kacimi, A. 
    Industrial Electronics (ISIE), 2012 IEEE International Symposium on 
    Digital Object Identifier: 10.1109/ISIE.2012.6237206 
    Publication Year: 2012 , Page(s): 886 – 892


    Adaptive control of horizontal magnetic levitation system subject to external disturbances

    An-Chyau Huang ; Yu-Mao Lin ; Chen-Yu Kai 
    Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on 
    Digital Object Identifier:
     10.1109/ICIEA.2012.6360773 
    Publication Year: 2012
     , Page(s): 467 - 471


    On the design and the control of a coupled-inductors boost dc-ac converter for an individual PV panel

    Coppola, M. ; Daliento, S. ; Guerriero, P. ; Lauria, D. ;Napoli, E. 
    Power Electronics, Electrical Drives, Automation and Motion (SPEEDAM), 2012 International Symposium on 
    Digital Object Identifier: 10.1109/SPEEDAM.2012.6264548 
    Publication Year: 2012 , Page(s): 1154 – 1159


    3 phase switch mode AC Voltage Controller with Input Current Shaping

    Kabir, M.A. ; Abedin, A.H. ; Hossain, M.R.T. ; Choudhury, M.A. 
    Informatics, Electronics & Vision (ICIEV), 2012 International Conference on 


    Combined feedback linearization and sliding mode control for reusable launch vehicle reentry

    Xiheng Zang ; Shuo Tang 
    Control Automation Robotics & Vision (ICARCV), 2012 12th International Conference on 
    Digital Object Identifier: 10.1109/ICARCV.2012.6485353 
    Publication Year: 2012 , Page(s): 1175 – 1180


    Nonsingular terminal neural network sliding mode control for multi-link robots based on backstepping

    Xu Chuanzhong ; Wang Yongchu 
    Intelligent Control and Automation (WCICA), 2012 10th World Congress on 
    Digital Object Identifier: 10.1109/WCICA.2012.6357832 
    Publication Year: 2012 , Page(s): 20 – 23

    Average sliding control method applied on power factor correction converter for decreasing input current total harmonic distortion using digital signal processor

    Karaarslan, A. ; Iskender, I. 
    Power Electronics, IET 
    Volume: 5 ,
     Issue: 5
    Digital Object Identifier:
     10.1049/iet-pel.2011.0348 
    Publication Year: 2012
     , Page(s): 617 - 626


    Robust adaptive control with unmodeled dynamics and unknown dead-zones

    Xiaocheng Shi ; Tianping Zhang ; Qing Zhu 
    Control and Decision Conference (CCDC), 2013 25th Chinese
    Digital Object Identifier: 10.1109/CCDC.2013.6560965 
    Publication Year: 2013 , Page(s): 444 – 449


    Backstepping control of polymerization reactor

    Biswas, Pinakpani ; Samanta, Amar Nath 
    Control Conference (ASCC), 2013 9th Asian 
    Digital Object Identifier: 10.1109/ASCC.2013.6606125 
    Publication Year: 2013 , Page(s): 1 – 5


    Linear system control via saturating dynamic actuators global output-reference tracking

    Mahjoub, A. ; Chater, E.A. ; Ghani, D. ; Chaoui, F.-Z. ; Giri, F. 
    Control Theory & Applications, IET 
    Volume: 7 , Issue: 2
    Digital Object Identifier: 10.1049/iet-cta.2012.0725 
    Publication Year: 2013 , Page(s): 271 – 281


    Optimized adaptive sliding-mode position control system for linear induction motor drive

    Kou-Cheng Hsu ; Hsin-Han Chiang ; Chin-I Huang ;Tsu-Tian Lee 
    Networking, Sensing and Control (ICNSC), 2013 10th IEEE International Conference on 
    Digital Object Identifier: 10.1109/ICNSC.2013.6548763 
    Publication Year: 2013 , Page(s): 355 – 360


    Higher order error dynamics based backsteppingcontroller design for electrical load simulator

    Ullah, N. ; Shaoping Wang 
    Applied Sciences and Technology (IBCAST), 2013 10th International Bhurban Conference on 
    Digital Object Identifier: 10.1109/IBCAST.2013.6512129 
    Publication Year: 2013 , Page(s): 49 - 53


    Trajectory control of a class of articulated aerial robots

    Kobilarov, M. 
    Unmanned Aircraft Systems (ICUAS), 2013 International Conference on 
    Digital Object Identifier:
     10.1109/ICUAS.2013.6564782 
    Publication Year: 2013
     , Page(s): 958 - 965


    Adaptive backstepping control of pneumatic servo system

    Ren, Hai-Peng ; Huang, Chao 
    Industrial Electronics (ISIE), 2013 IEEE International Symposium on 
    Digital Object Identifier: 10.1109/ISIE.2013.6563773 
    Publication Year: 2013 , Page(s): 1 – 6


    Cascade disturbance rejection control of the uncertain nonlinear systems with nonlinear parameterization

    Wei Wei ; Donghai Li ; Jing Wang 
    American Control Conference (ACC), 2013 
    Publication Year: 2013
     , Page(s): 265 – 271


    Stabilization of a class of nonlinear systems using backstepping

    An-Chyau Huang ; Auslander, D.M. 
    American Control Conference, 1994 
    Volume: 1
    Digital Object Identifier: 10.1109/ACC.1994.751887 
    Publication Year: 1994 , Page(s): 964 - 965 vol.1