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Repetitive learning control: a Lyapunov-based approach
IEEE Transactions on Systems, Man, and Cybernetics, 2002In this paper, a learning-based feedforward term is developed to solve a general control problem in the presence of unknown nonlinear dynamics with a known period. Since the learning-based feedforward term is generated from a straightforward Lyapunov-like stability analysis, the control designer can utilize other Lyapunov-based design techniques to ...
W E, Dixon +3 more
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Wirtinger’s inequality and Lyapunov-based sampled-data stabilization
Automatica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kun Liu, Emilia Fridman
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Lyapunov based reasoning methods
IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2001Semiquantitative simulation is an approach for the analysis of uncertain dynamic systems that performs a comprehensive simulation study based on automated reasoning methods. Semiquantitative simulation of complex models is, however, hindered by the limited automated reasoning capabilities of the currently available semiquantitative simulation ...
M. Hofbauer, N. Dourdoumas
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Fuzzy-Lyapunov based quadrotor controller design
2009 European Control Conference (ECC), 2009Fuzzy control algorithms are frequently used in controlling highly nonlinear systems or systems whose mathematical model is difficult to describe. A quadrotor represents a class of flying objects with four rotors symmetrically attached on its construction.
Varga, Maja, Bogdan, Stjepan
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Distributed Lyapunov-Based MPC
2013We provide an almost decentralized solution to the problem of stabilizing a network of discrete-time nonlinear systems with coupled dynamics that are subject to local state/input constraints. By "almost decentralized" we mean that each local controller is allowed to use the states of neighboring systems for feedback, whereas it is not permitted to ...
Hermans, R.M., Lazar, M., Jokic, A.
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Lyapunov‐based finite‐time control of robot manipulators
International Journal of Robust and Nonlinear Control, 2021AbstractThe objective of this work is to propose new families of finite‐time controllers providing bounded and unbounded control signals. We show that this new family of controllers can be applied to solve the regulation problem for robot manipulators in finite‐time with unbounded and bounded torques.
Emmanuel Cruz‐Zavala +3 more
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2020
The primary concern of this chapter is to test, by means of nonsmooth Lyapunov functions, the capability of SM control algorithms to attenuate mismatched disturbances with a priori unknown bounds on their magnitudes. While SM control algorithms are well-recognized to be capable of rejecting matched disturbances of bounded magnitude, the relevant works ...
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The primary concern of this chapter is to test, by means of nonsmooth Lyapunov functions, the capability of SM control algorithms to attenuate mismatched disturbances with a priori unknown bounds on their magnitudes. While SM control algorithms are well-recognized to be capable of rejecting matched disturbances of bounded magnitude, the relevant works ...
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Lyapunov-based control of quantum systems
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004We propose feedback control laws for quantum systems, based on Lyapunov design. These feedback laws locally asymptotically stabilize any desired eigenstate of the system Hamiltonian. The target eigenstate and the size of its region of attraction can be tailored by the choice of design parameters. These feedback control laws are used to design open loop
S. Grivopoulos, B. Bamieh
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