Improved Adaptive H∞ Controller Synthesis of Piecewise‐Affine Systems
Sign Up to like & getrecommendations! Published in 2017 at "Asian Journal of Control"
DOI: 10.1002/asjc.1523
Abstract: This paper considers the adaptive H∞ control problem for piecewise affine systems (PWS), a novel synthesis framework is presented based on the piecewise quadratic Lyapunov function (PQLF) instead of the common quadratic Lyapunov function to… read more here.
Keywords: affine systems; control; piecewise affine; synthesis ... See more keywords
On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3856-8
Abstract: Since complicated dynamical behavior can occur easily near homoclinic trajectory or heteroclinic cycle in dynamical systems with dimension not less than three, this paper investigates the existence of heteroclinic cycles in some class of 3-dimensional… read more here.
Keywords: cycles class; piecewise affine; class dimensional; affine systems ... See more keywords
Near-optimal control with adaptive receding horizon for discrete-time piecewise affine systems
Sign Up to like & getrecommendations! Published in 2017 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2017.08.806
Abstract: Abstract We consider the infinite-horizon optimal control of discrete-time, Lipschitz continuous piecewise affine systems with a single input. Stage costs are discounted, bounded, and use a 1 or ∞-norm. Rather than using the usual fixed-horizon… read more here.
Keywords: horizon; piecewise affine; affine systems; optimal control ... See more keywords
On the existence of homoclinic orbits in n-dimensional piecewise affine systems
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2017.09.006
Abstract: Abstract Based on the mathematical analysis of the stable manifolds, unstable manifolds and solutions of subsystems, this paper provides methodologies to ensure the existence of homoclinic orbits (degenerate and non-degenerate) which cross the switching manifold… read more here.
Keywords: existence homoclinic; homoclinic orbits; affine systems; piecewise affine ... See more keywords
Dynamic event-triggeredL∞control for switched affine systems with sampled-data switching
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Analysis: Hybrid Systems"
DOI: 10.1016/j.nahs.2020.100978
Abstract: Abstract This paper investigates the dynamic event-triggered L ∞ control for switched affine systems under limited communication resources. For switched affine systems, affine terms bring the difficulty on the exclusion of triggering Zeno behavior. The… read more here.
Keywords: sampled data; dynamic event; event; data switching ... See more keywords
Comments on ‘State feedback H ∞ control design of continuous-time switched affine systems’
Sign Up to like & getrecommendations! Published in 2017 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2016.1259
Abstract: This note presents important aspects that should be taken into account in the comparative study on stability conditions of switched affine systems with H ∞ performance presented in the aforementioned paper. Using a numerical example,… read more here.
Keywords: feedback control; switched affine; state feedback; affine systems ... See more keywords
Coexistence of three heteroclinic cycles and chaos analyses for a class of 3D piecewise affine systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0132018
Abstract: Our objective is to investigate the innovative dynamics of piecewise smooth systems with multiple discontinuous switching manifolds. This paper establishes the coexistence of heteroclinic cycles in a class of 3D piecewise affine systems with three… read more here.
Keywords: affine systems; coexistence; piecewise affine; heteroclinic cycles ... See more keywords
Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3027721
Abstract: This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced for solving the considered problem. Assuming a classical control Lyapunov function,… read more here.
Keywords: nonlinear control; control; systems multiple; control affine ... See more keywords
Frequency Information-Based Observer Design for Takagi–Sugeno Fuzzy Affine Systems
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2022.3214287
Abstract: This brief studies the problem of observer design for discrete-time uncertain Takagi-Sugeno (T-S) fuzzy affine systems subject to external disturbances and measurement noises with known frequency ranges. A class of novel observers with more design… read more here.
Keywords: information; affine systems; takagi sugeno; frequency ... See more keywords
Nonstationary Filtering for Fuzzy Markov Switching Affine Systems With Quantization Effects and Deception Attacks
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3147228
Abstract: This article focuses on the issue of nonstationary filtering for uncertain fuzzy Markov switching affine systems (FMSASs) with quantization effects and deception attacks (DAs). The resulting FMSASs are comprised of Markov switching piecewise-affine systems over… read more here.
Keywords: markov switching; affine systems; fuzzy markov; quantization effects ... See more keywords
A-Orbital Linearization of Affine Systems
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations"
DOI: 10.1134/s0012266118110101
Abstract: The problem of transformation of an affine system into a linear controllable system is considered. For affine systems with a single control, the notion of A-orbital linearizability is introduced, which generalizes the notion (well known… read more here.
Keywords: orbital linearization; affine; affine systems; linearization affine ... See more keywords