Sliding Mode Control for a Class of Uncertain Time-Delay Hybrid Linear Systems with Markovian Jump Parameter
The sliding mode control problem of a class of uncertain time-delay hybrid linear systems with Markovian jump parameter is considered. Under the conditions of unknown upper bounds on the norm of matched system uncertainties and known upper bounds on the norm of mismatched system uncertainties, the sufficient conditions are proposed to guarantee the mean exponentially stability of reduced-order sliding mode system. For two kinds of system uncertainties, adaptive sliding mode control method and general sliding mode control method are proposed. The control methods guarantee that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of linear matrix inequalities(LMIs) have solution.Latsly a simulation is given to illustrate the effectiveness of the proposed approach.
Youguo He Dapeng Zhang Yuanwei Jing
Faculty of Information Science and Engineering Northeastern University Shenyang, Liaoning, 110004 College of Information and Electrical Engineering Shenyang Agricultural University Shenyang, Liaonin
国际会议
南宁
英文
2007-07-20(万方平台首次上网日期,不代表论文的发表时间)