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Global stabilization of non-globally linearizable triangular systems: Application to transient stability of power systems

Daniele Casagrande, Alessandro Astolfi, Romeo Ortega
2011 IEEE Conference on Decision and Control and European Control Conference  
A general methodology to globally stabilize an equilibrium of a class of non-globally linearizable triangular systems is presented.  ...  The method is used to give an explicit solution to the challenging problem of transient stability of multimachine power systems with leaky transmission lines, for which only existence results are currently  ...  The main objective of this paper is to propose a methodology for global stabilization of a general class of non-globally feedback linearizable triangular systems.  ... 
doi:10.1109/cdc.2011.6160940 dblp:conf/cdc/CasagrandeAO11 fatcat:276bgeet6re3jehkmjnt3bftn4

Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems

C. Qian, W. Lin
2006 IEEE Transactions on Automatic Control  
Such a nonsmooth design leads to a number of new results on output feedback stabilization of nonlinear systems.  ...  One of them is the global stabilizability of a chain of odd power integrators by Hölder continuous output feedback.  ...  In [33] , the problem of global stabilization by smooth output feedback was shown to be solvable for a chain of odd power integrators with same powers (i.e., ).  ... 
doi:10.1109/tac.2006.880955 fatcat:2meqpmkyvvblhdoxhg3bud2l7m

Stable adaptive control of feedback linearizable time-varying non-linear systems with application to fault-tolerant engine control

Yixin Diao, Kevin M. Passino *
2004 International Journal of Control  
Stable indirect and direct adaptive controllers are presented for a class of input-output feedback linearizable timevarying non-linear systems.  ...  The radial basis function neural networks are used as on-line approximators to learn the time-varying characteristics of system parameters.  ...  It was assumed that the nominal system (f , g) is locally (globally) feedback-linearizable and that the uncertain term qðx, ðtÞÞ satisfies triangularity conditions so that the above non-linear system can  ... 
doi:10.1080/00207170412331326963 fatcat:dqp7bbewszeehofrmjo5wuk6ea

2020 Index IEEE Transactions on Circuits and Systems II: Express Briefs Vol. 67

2020 IEEE Transactions on Circuits and Systems - II - Express Briefs  
., Design of a Single Chip PWM Driver Circuit for Inverter Welding Power Source; TCSII April 2020 720-724 Jacobsson, S., see Castaneda, O., TCSII May 2020 891-895 Jafari, E., and Binazadeh, T., Robust  ...  Based on Mutual Information Optimization; TCSII Dec. 2020 3577-3581 Qian, K., see Zou, W., 1279-1283 Qian, K., see Qian, L., 2943-2947 Qian, L., Li, D., Qian, K., Ye, Y., Xia, Y., and Mak, T., A Fast-Transient  ...  ., +, Stabilization of DC Nanogrids Based on Non-Integer General Type-II Fuzzy System.  ... 
doi:10.1109/tcsii.2020.3047305 fatcat:ifjzekeyczfrbp5b7wrzandm7e

Dynamic output feedback control based on virtual feedback control law for planar switched nonlinear systems with time-varying delays and multiple subsystems

Wei Zheng, Hongbin Wang, Hongrui Wang, Zhiming Zhang
2018 Advances in Difference Equations  
By introducing the new discrete Lyapunov-Krasovskii functional, it can be seen that the solutions of the closed-loop system converge to an adjustable bounded region.  ...  Finally, two simulation examples are performed to show the effectiveness of the proposed method.  ...  Acknowledgements The authors are grateful to the editor and the anonymous reviewers for their valuable comments and suggestions that have helped improve the presentation of the paper.  ... 
doi:10.1186/s13662-018-1754-0 fatcat:av2zlvvmhnepbfylz3pkfkqrsa

A Combined Multiple Model Adaptive Control Scheme and Its Application to Nonlinear Systems With Nonlinear Parameterization

Weitian Chen, Brian D. O. Anderson
2012 IEEE Transactions on Automatic Control  
Author's reply to comments on "Decentralized stabilization of intercon-  ...  ., +, TAC Feb. 2012 457-462 A New Approach to Global Asymptotic Tracking for a Class of Low-Triangular Nonlinear Systems via Output Feedback.  ...  Discrete Time: A Suboptimal Algorithm With Performance Analysis; TAC July 2012 1815-1821 Zhang, X., and Lin, Y., A New Approach to Global Asymptotic Tracking for a Class of Low-Triangular Nonlinear Systems  ... 
doi:10.1109/tac.2011.2176162 fatcat:2airdooti5fi7kmuozmodywcga

Adaptive Backstepping Flight Control for Modern Fighter Aircraft [chapter]

L. Sonneveldt, Q.P. Chu, J.A. Mulder
2011 Advances in Flight Control Systems  
During this period, many people contributed to the realization of this work. I am very grateful to all of these people, but I would like to mention some of them in particular.  ...  Acknowledgements This thesis is the result of four years of research within the Aerospace Software and Technology Institute (ASTI) at the Delft University of Technology.  ...  LaSalle's Theorem is only applicable to the analysis of autonomous systems, since it may be unclear how to define the sets M and R for non-autonomous systems.  ... 
doi:10.5772/13839 fatcat:hhgawplkgzcrxct66cgljw2qwe

2009 Index IEEE Transactions on Automatic Control Vol. 54

2009 IEEE Transactions on Automatic Control  
-L., +, TAC Nov. 2009 2653-2658 Global Stabilization of the Generalized MIMO Triangular Systems With Singular Input-Output Links. Pavlichkov, S.  ...  K., +, Application of Reachability Analysis for Stochastic Hybrid Systems to Aircraft Conflict Prediction.  ...  ., +, 1723 -1727 Switching-Driving Lyapunov Function and the Stabilization of the Ball-and-Plate System. 1881 -1886 The Spring Loaded Inverted Pendulum as the Hybrid Zero Dynamics of an Asymmetric  ... 
doi:10.1109/tac.2009.2037798 fatcat:4ilhkzss6jc63ersjzi47hiwgu

Certifying Unstability of Switched Systems Using Sum of Squares Programming

Benoît Legat, Pablo Parrilo, Raphaël Jungers
2020 SIAM Journal of Control and Optimization  
We, however, explore the stability properties of the slow-fast mechanical system via the passivity properties of Σ 1 and Σ 2 together with the interconnection which leads to (3).  ...  This alternative way of analysis of slow-fast systems with particular structure may lead to a later analysis of multi-timescale systems over networks.  ...  Determination of the Linearizable Area in Dynamic Power System Models 1 Introduction To perform dynamic stability studies, transmission system operators 1 (TSOs) are relying on a dynamic model [1] of  ... 
doi:10.1137/18m1173460 fatcat:ytlzbwk7vbampbuyo6snenz33m

2019 Index IEEE Transactions on Automatic Control Vol. 64

2019 IEEE Transactions on Automatic Control  
., +, TAC May 2019 2053-2060 Global Phase and Magnitude Synchronization of Coupled Oscillators With Application to the Control of Grid-Forming Power Inverters.  ...  ., +, TAC Sept. 2019 3676-3689 Photovoltaic power systems L g V-Type Adaptive Controllers for Uncertain Non-Affine Systems and Application to a DC-Microgrid with PV and Battery.  ... 
doi:10.1109/tac.2020.2967132 fatcat:o2hd2t4jz5fbpkcemjt5aj7xrm

Probabilistic control of Chaos: Chaotic maps under control

I. Antoniou, V. Basios, F. Bosco
1997 Computers and Mathematics with Applications  
The chosen periodic orbit of the original system is a global attractor for the probability densities.  ...  In this paper, we apply our method to characteristic cases of chaotic maps (one and two-dimensional examples).  ...  For a more general nonlinear control system to be (locally) feedback linearizable, (locally) feedback equivalence to a controllable linear system has to be established as a necessary condition, for (see  ... 
doi:10.1016/s0898-1221(97)00134-x fatcat:vm5hk54w5nhsxeuwrcod2duw2a

Constructive nonlinear control: a historical perspective

Petar Kokotović, Murat Arcak
2001 Automatica  
Structural properties of nonlinear systems, such as relative degree and zero dynamics, are connected to passivity, while dissipativity, as a finite L 2 -gain property, also appears in the disturbance attenuation  ...  In the early days of nonlinear control theory most of the stability, optimality and uncertainty concepts were descriptive rather than constructive.  ...  Small-gain theorem for ISS systems and applications. Mathematics of Control, Signals, and Systems 7, 95-120. Jurdjević, V. and J.P. Quinn (1978). Controllability and stability.  ... 
doi:10.1016/s0005-1098(01)00002-4 fatcat:opa2sooqnfg6bfovjb2uzifwvq

Constructive nonlinear control: a historical perspective

P Kokotovic
2001 Automatica  
Structural properties of nonlinear systems, such as relative degree and zero dynamics, are connected to passivity, while dissipativity, as a finite L 2 -gain property, also appears in the disturbance attenuation  ...  In the early days of nonlinear control theory most of the stability, optimality and uncertainty concepts were descriptive rather than constructive.  ...  Small-gain theorem for ISS systems and applications. Mathematics of Control, Signals, and Systems 7, 95-120. Jurdjević, V. and J.P. Quinn (1978). Controllability and stability.  ... 
doi:10.5555/s0005-1098(01)00002-4 fatcat:iq7aouvuhvexzkn5pito2jvcdq

Nonlinear reference tracking control of a gas turbine with load torque estimation

B. Pongrácz, P. Ailer, K. M. Hangos, G. Szederkényi
2008 International Journal of Adaptive Control and Signal Processing  
Section 3 deals with the stability of the zero dynamics with respect to the rotational speed, since it plays a key role in controller design.  ...  The stability of the one-dimensional zero dynamics of the controlled plant is investigated via phase diagrams.  ...  The fourth author is the grantee of the Bolyai János Scholarship of the Hungarian Academy of Sciences.  ... 
doi:10.1002/acs.1020 fatcat:rafyc57odvgdnkly7eafevr7cy

Dynamics, Control, and Estimation for Aerial Robots Tethered by Cables or Bars

Marco Tognon, Antonio Franchi
2017 IEEE Transactions on robotics  
We show the design of an almost globally convergent nonlinear observer of the full state that resorts only to an onboard accelerometer and a gyroscope.  ...  We prove that the robotic system is differentially flat with respect to two output pairs: elevation of the link and attitude of the vehicle; elevation of the link and longitudinal link force (e.g., cable  ...  stability of the global system.  ... 
doi:10.1109/tro.2017.2677915 fatcat:rueqpndudvhqznwkh2qpgivuxq
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