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
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
Matching in a family of piecewise affine maps
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aae935
Abstract: We consider a class of simple one parameter families of interval maps, and we study how metric (resp. topological) entropy changes as the parameter varies. We show that in many cases the entropy displays a… read more here.
Keywords: matching family; piecewise affine; family piecewise; affine maps ... See more keywords
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0235
Abstract: We consider a partial differential inclusion problem which models stress-free martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter choices there exist piecewise affine… read more here.
Keywords: martensitic inclusions; nonlinear elasticity; free martensitic; piecewise affine ... See more keywords
State Estimation for a Class of Piecewise Affine State-Space Models
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2016.2633624
Abstract: We propose a filter for piecewise affine state-space models. In each filtering recursion, the true filtering posterior distribution is a mixture of truncated normal distributions. The proposed filter approximates the mixture with a single normal… read more here.
Keywords: state; state space; affine state; piecewise affine ... See more keywords
Construction of Continuous and Piecewise Affine Feedback Stabilizers for Nonlinear Systems
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.3030864
Abstract: In this article, two methods for constructing continuous and piecewise affine (CPA) feedback stabilizers for nonlinear systems are presented. First, a construction based on a piecewise affine interpolation of Sontag's “universal” formula is developed. Stability… read more here.
Keywords: feedback stabilizers; continuous piecewise; piecewise affine;
Fixed-Order Piecewise-Affine Output Feedback Controller for Fuzzy-Affine-Model-Based Nonlinear Systems With Time-Varying Delay
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2016.2632718
Abstract: This paper studies the problem of delay-dependent fixed-order memory piecewise-affine $\mathscr {H}_{\infty }$ output feedback control for a class of nonlinear systems with time-varying delay via a descriptor system approach. The nonlinear plant is expressed… read more here.
Keywords: output feedback; fixed order; delay; affine ... See more keywords
A Novel Approach to Reliable Control of Piecewise Affine Systems With Actuator Faults
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2016.2629663
Abstract: This brief is devoted to the reliable piecewise affine (PWA) $\mathscr {H}_{\infty }$ static output feedback control problem for PWA systems with actuator faults. The actuator faults are characterized by a Markov process. Specifically, by… read more here.
Keywords: systems actuator; pwa; piecewise; piecewise affine ... See more keywords