This paper investigates the robust H static output feedback(SOF) controller design for a class of continuous- ...
QIU Jianbin~1,FENG Gang~2,GAO Huijun~1 1.Space Control and Inertial Technology Research Center,Harbin Institute of Technology,Harbin 150001,P.R.China 2.Department of Manufacturing Engineering and Engineering Management,City University of Hong Kong,Kowloon,Hong Kong
This paper investigates the problem of robust H-infinity state estimation for a class of uncertain discretetime piecewise affine systems where state space instead of measurable output space partitions are assumed so that the filter implementation may not be synchronized with plant state trajectory transitions. Based on a piecewise quadratic Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques, two different approaches are developed to the robust filtering design for the underlying piecewise affine systems. It is shown that the filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is provided to illustrate the effectiveness of the proposed approaches.