Composite DOBC & H∞ Control for Markovian Jump Nonlinear Systems
The problem of composite disturbance-observer-based control (DOBC) and H∞ control for Markovian jump systems with nonlinearity and multiple disturbances is investigated in this note. Two types of disturbances are considered, one is norm-bounded, and the other can be described by a linear exogenous system. Our aim is to design a disturbance observer to estimate the disturbance generated by an exogenous system, then construct the control scheme by integrating the output of the disturbance observer with state-feedback control laws, such that, the closed-loop system can be guaranteed to be stochastically stable, and different types of disturbances can be attenuated and rejected. By constructing a proper stochastic Lyapunov-Krasovskii functional, sufficient conditions for the existence of the desired observers gains and the state-feedback controller gains are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the proposed approaches.
Disturbance Observer H∞ Control Markovian Jump Nonlinear Systems Multiple Disturbances
Xiuming Yao Jia Liu
Hebei Engineering Research Center of Simulation & Optimized Control for Power Generation,North China School of Instrumentation Science & Opto-Electronics Engineering, Beihang University, Beijing, 10019
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1684-1689
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）