Robust stabilization of stochastic Markovian jumping systems via proportional-integral control

DOI10.1016/j.sigpro.2011.04.023zbMath1223.93104OpenAlexW2040075333MaRDI QIDQ634862

Fei Liu, Shuping He

Publication date: 17 August 2011

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2011.04.023

zbMATH Keywords

linear matrix inequalitiessemidefinite programmingMarkovian jump systems (MJSs)static output feedbackproportional-integral (PI) control

Mathematics Subject Classification ID

Semidefinite programming (90C22) Adaptive or robust stabilization (93D21) Stochastic stability in control theory (93E15)

Related Items (19)

Improved \(\mathcal H_\infty\) state-feedback control for continuous-time Markovian jump fuzzy systems with incomplete knowledge of transition probabilities ⋮ Robust sampled-data PI controller design for networked control systems ⋮ \(\mathcal H_\infty\) control for Markovian jump fuzzy systems with partly unknown transition rates and input saturation ⋮ Less conservative stabilization conditions for Markovian jump systems with partly unknown transition probabilities ⋮ Stochastic stability and stabilization of a class of piecewise-homogeneous Markov jump linear systems with mixed uncertainties ⋮ Mixed H∞ and passivity guaranteed cost proportional‐integral control for interval‐valued type‐2 fuzzy systems with input delay ⋮ Exponential synchronization of Markovian jump complex dynamical networks with uncertain transition rates and mode-dependent coupling delay ⋮ \(\mathcal {H}_\infty \) state-feedback control for continuous-time Markovian jump fuzzy systems using a fuzzy weighting-dependent Lyapunov function ⋮ Robust integral controller design based on composite nonlinear feedback in uncertain systems with constrained inputs and external disturbances ⋮ New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation ⋮ Exponential synchronization of stochastic complex dynamical networks with impulsive perturbations and Markovian switching ⋮ State estimation for wireless network control system with stochastic uncertainty and time delay based on sliding mode observer ⋮ Fault detection for wireless networked control systems with stochastic uncertainties and multiple time delays ⋮ Delay-dependent robust exponential stability and \(H_\infty\) analysis for a class of uncertain Markovian jumping system with multiple delays ⋮ Fault tolerant consensus of multi-agent systems with linear dynamics ⋮ \(H_\infty\) control of singular Markovian jump systems with bounded transition probabilities ⋮ Stabilization of discrete-time Markovian jump systems via controllers with partially mode-dependent characterization ⋮ Input–output finite-time stabilisation of nonlinear stochastic system with missing measurements ⋮ Less conservative stabilization conditions for Markovian jump systems with incomplete knowledge of transition probabilities and input saturation

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