Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
H∞ -control for Markovian jumping linear systems with parametric uncertainty
Journal of Optimization Theory and Applications
H∞ filtering for networked systems with partly known distribution transmission delays
Information Sciences: an International Journal
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief Control of singularly perturbed systems with Markovian jump parameters: an H∞ approach
Automatica (Journal of IFAC)
Brief Constrained quadratic state feedback control of discrete-time Markovian jump linear systems
Automatica (Journal of IFAC)
Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Controller design for Markov jumping systems subject to actuator saturation
Automatica (Journal of IFAC)
IEEE Transactions on Signal Processing
H∞ fault detection for nonlinear networked systems with multiple channels data transmission pattern
Information Sciences: an International Journal
Network-based H∞ output feedback control for uncertain stochastic systems
Information Sciences: an International Journal
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In this paper, a robust H"~ controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a polytope set. Stochastic stability is analyzed for the underlying systems by Lyapunov function approach and a sufficient condition is derived to design controllers such that the resulting closed-loop system is stochastically stable and a prescribed H"~ performance is also achieved. Furthermore, the attraction domain of this Markov jump system is estimated and evaluated. A simulation example is given to show the effectiveness of the developed techniques.