Input to state set stability for pulse width modulated control systems with disturbances

DOI10.1016/S0167-6911(03)00192-0zbMath1157.93461MaRDI QIDQ2503559

Andrew R. Teel, Luc Moreau, Dragan Nešić

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Stability theoryAveraging theoryPower electronicsPulse width modulationPower convertersSet-valued systems theory

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

Averaging of nonsmooth systems using dither ⋮ Averaging for switched DAEs: convergence, partial averaging and stability ⋮ Input-to-state stability for a class of hybrid dynamical systems via averaging ⋮ Averaging for switched impulsive systems with pulse width modulation ⋮ On the choice of dither in extremum seeking systems: a case study ⋮ Combining dither smoothing technique and state feedback linearization to control undifferentiable chaotic systems ⋮ ISS properties of nonholonomic vehicles

Cites Work

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• Discontinuous differential equations. I
• Qualitative properties of trajectories of control systems: a survey
• A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions
• Smooth stabilization implies coprime factorization
• A unified framework for input-to-state stability in systems with two time scales
• Set-valued analysis
• Input-to-state stability for nonlinear time-varying systems via averaging

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