Abstract:

The robust H∞ observer-based control problem for a class of discrete-time Markovian jump systems with modedependent timedelay and normbounded uncertainties was investigated. Atlention was focused on constructing a mode-dependent observer and controller to guarantee the closed-loop system stable stochastically with a good H∞ disturbance attenuation behavior. A delay-dependent condition sufficient for the existence of H∞ controller was given by choosing a suitable type of stochastic Lyapunov function and using the linear matrix inequality. The mode-dependent observer and controller were obtained through solving the controller by the cone complementasity linearization algorithm. Numerical simulation illustrated the feasibility of the proposed technique.

Key words: automatic control technology, discrete-time Markovian jump system, robust H∞ , control, observer-based control, linear matrix inequality, cone complementarity linearization algorithm