A unified dissipativity approach for stability analysis of piecewise smooth systems

DOI10.1016/j.automatica.2011.09.018zbMath1235.93224OpenAlexW2041832666MaRDI QIDQ665208

Behzad Samadi, Luis Henrique Rodrigues

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://spectrum.library.concordia.ca/974132/1/Samadi_Rodrigues_AUT20110522.pdf

zbMATH Keywords

dissipativityLyapunov stabilitypiecewise affine systemspiecewise smooth systemspiecewise polynomial systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Stability of control systems (93D99)

Related Items (10)

A sum of squares approach to backstepping controller synthesis for piecewise affine and polynomial systems ⋮ Lyapunov stability for piecewise affine systems via cone-copositivity ⋮ Stabilizing a class of nonlinear parameter‐varying systems using interval observer based on a piecewise framework ⋮ Lyapunov stability-based control and identification of nonlinear dynamical systems using adaptive dynamic programming ⋮ Robust local regularity and controllability of uncertain TS fuzzy descriptor systems ⋮ Design of a Takagi-Sugeno fuzzy regulator for a set of operation points ⋮ Stability analysis of a class of uncertain switched time‐delay systems with sliding modes ⋮ Interconnected TS fuzzy technique for nonlinear time-delay structural systems ⋮ A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods ⋮ Stability and stabilization of piecewise‐affine slab systems subject to Wiener process noise

Uses Software

• Sostools
• SeDuMi
• YALMIP

Cites Work

• Switching in systems and control
• Piecewise linear control systems. A computational approach
• Integral characterizations of uniform asymptotic and exponential stability with applications
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Piecewise-affine state feedback for piecewise-affine slab systems using convex optimization
• Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions
• Dissipativity and stability of interconnections
• Extension of local linear controllers to global piecewise affine controllers for uncertain non-linear systems
• Some NP-complete problems in quadratic and nonlinear programming
• An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control
• Observer-based control of piecewise-affine systems
• Strong $n$-generators and the rank of some Noetherian one-dimensional integral domains
• Analysis of Non-polynomial Systems Using the Sum of Squares Decomposition
• SOSTOOLS and Its Control Applications
• An integral-invariance principle for nonlinear systems
• Differential equations with discontinuous right-hand side
• Unnamed Item
• Unnamed Item

This page was built for publication: A unified dissipativity approach for stability analysis of piecewise smooth systems