|Relaxed Robust Stabilization Conditions for Nonhomogeneous Markovian Jump Systems with Actuator Saturation and General Switching Policies
Ngoc Hoai An Nguyen and Sung Hyun Kim*
International Journal of Control, Automation, and Systems, vol. 17, no. 3, pp.586-596, 2019
Abstract : "This paper investigates the robust control synthesis problem of nonhomogeneous Markovian jump systems
with actuator saturation and uncertainties. First of all, to make a comprehensive mode-transition description,
three separate mode sets are established according to the property of transition rates. And then, to improve the
numerical solvability of inequality conditions dependent on time-varying transition rates, two useful relaxation
methods are developed on the basis of the mode sets. Especially, by taking advantage of a new zero-sum constraint,
the relaxation process is further evolved such that the conservatism arising from incomplete knowledge of transition
rates can be reduced. Lastly, this paper provides the LMI-based conditions capable of estimating the attraction
domain as well as of designing a mode-dependent robust control."
"Actuator saturation, control synthesis, nonhomogeneous Markovian jump system, robustness, transition rates."