Robust H∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions
Sign Up to like & getrecommendations! Published in 2019 at "Asian Journal of Control"
DOI: 10.1002/asjc.1987
Abstract: In this paper, we present a new scheme for designing a H∞ stabilizing controller for discrete‐time Takagi‐Sugeno fuzzy systems with actuator saturation and external disturbances. The weighting‐dependent Lyapunov functions approach is used to design a… read more here.
Keywords: actuator saturation; control; fuzzy systems; systems actuator ... See more keywords
The Generalized Recurrent Set, Explosions and Lyapunov Functions
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DOI: 10.1007/s10884-019-09788-5
Abstract: We consider explosions in the generalized recurrent set for homeomorphisms on a compact metric space. We provide multiple examples to show that such explosions can occur, in contrast to the case for the chain recurrent… read more here.
Keywords: recurrent set; set explosions; generalized recurrent; explosions lyapunov ... See more keywords
An Implicit Function Approach to Lyapunov functions for Interconnections Containing Non-ISS Components
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.07.287
Abstract: Abstract This paper addresses the problem of establishing internal and external stability of feedback interconnection of integral input-to-state stable systems. Construction of Lyapunov functions has been essential for establishing the stability when components are not… read more here.
Keywords: construction; implicit function; iss components; non iss ... See more keywords
3D UAV Navigation with Moving-Obstacle Avoidance Using Barrier Lyapunov Functions
Sign Up to like & getrecommendations! Published in 2019 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2019.11.068
Abstract: We address the safe-navigation problem for aerial robots in the presence of mobile obstacles. Our approach relies on an original dynamic model defined in a cylindrical-coordinate space. It is assumed that the environment contains moving… read more here.
Keywords: navigation moving; uav navigation; moving obstacle; barrier lyapunov ... See more keywords
Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100936
Abstract: Abstract In this paper, we study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic stability of the origin of… read more here.
Keywords: nonlinear impulsive; indefinite lyapunov; via indefinite; asymptotic stability ... See more keywords
Feedback control for the nuclear reactors
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Control"
DOI: 10.1080/00207179.2016.1214878
Abstract: ABSTRACT The paper considers the standard nuclear reactor model with pointwise active zone dynamics together with the dynamics of the external circuits of the reactor in the linearised version. There are presented some Lyapunov functions… read more here.
Keywords: control; feedback control; control nuclear; nuclear reactors ... See more keywords
Generalized Absolute Stability Using Lyapunov Functions With Relaxed Positivity Conditions
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DOI: 10.1109/lcsys.2017.2782747
Abstract: Conditions are given for verifying stability and computing upper bounds on the induced (regional) $\mathcal {L}_{2}$ gain for systems defined by vector fields which are, along with their Jacobian, rational in the states and sector… read more here.
Keywords: stability using; using lyapunov; absolute stability; stability ... See more keywords
Strict Lyapunov Functions for Dynamic Consensus in Linear Systems Interconnected Over Directed Graphs
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3150662
Abstract: We study dynamic consensus for general networked (homogeneous) linear autonomous systems, that is, it is only assumed that they are stabilizable. Dynamic consensus pertains to a general form of consensus in which, as a result… read more here.
Keywords: dynamic consensus; consensus; systems interconnected; lyapunov functions ... See more keywords
Interpretability of Path-Complete Techniques and Memory-Based Lyapunov Functions
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DOI: 10.1109/lcsys.2022.3226627
Abstract: We study path-complete Lyapunov functions, which are stability criteria for switched systems, described by a combinatorial component (namely, an automaton), and a functional component (a set of candidate Lyapunov functions, called the template). We introduce… read more here.
Keywords: memory based; based lyapunov; interpretability path; lyapunov functions ... See more keywords
Coupled Control Lyapunov Functions for Interconnected Systems, With Application to Quadrupedal Locomotion
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DOI: 10.1109/lra.2021.3065174
Abstract: This letter addresses the problem of formally guaranteeing the stability of interconnected systems with local controllers with a view toward stabilizing quadrupeds viewed as coupled bipeds. In particular, we present a novel framework that views… read more here.
Keywords: control; control lyapunov; stability; coupled control ... See more keywords
Computation of Lyapunov Functions for Nonlinear Differential Equations via a Massera-Type Construction
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2017.2736961
Abstract: An approach for computing Lyapunov functions for nonlinear continuous-time differential equations is developed via a new, Massera-type construction. This construction is enabled by imposing a finite-time criterion on the integrated function. By means of this… read more here.
Keywords: functions nonlinear; construction; type construction; differential equations ... See more keywords