This paper investigates a fault detection problem for a class of discrete-time Markovian jump systems with norm-bounded uncertainties and mode-dependent time-delays. Attention is focused on constructing the residual generator based on the filter of which its parameters matrices are dependent on the system mode, that is, the fault detection filter is a Markovian jump system as well. The design of fault detection filter is reduced to H-infinity filtering problem by using H-infinity control theory, which can guarantee the difference between the residual and the fault （or, more generally weighted fault） as small as possible in the context of enhancing the robustness of residual to modeling errors, control inputs and unknown inputs. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities, which can be readily solved by using standard numerical software. A numerical example is given to illustrate the feasibility of the proposed method.
This paper is concerned with the problem of robust model predictive control for discrete-time systems with pac...
Huang Chongji1,Gao Huijun1,Shi Peng2 1.Space Control and Inertial Technology Research Center,Harbin Institute of Technology,Harbin 150001,P.R.China 2.Faculty of Advanced Technology,University of Glamorgan,Pontypridd,CF37 1DL,United Kingdom
This paper is concerned with the robust H∞ filtering problem for uncertain two-dimensional（2-D）systems describ...
Meng Xiangyu1,Gao Huijun1,Chen Tongwen2 1.Space Control and Inertial Technology Research Center,Harbin Institute of Technology,Harbin 150001,P.R.China2.Department of Electrical and Computer Engineering,University of Alberta,Edmonton,Alberta T6G 2V4,Canada
The robust stability and robust sliding mode control problems are studied for a class of linear distributed time-delay systems with polytopic-type uncertainties by applying the parameter-dependent Lyapunov functional approach combining with a new method of introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. First, a sufficient condition is proposed for robust stability of the autonomic system; next, the sufficient conditions of the robust stabilization controller and the existence condition of sliding mode are developed. The results are given in terms of linear matrix inequalities （LMIs）, which can be solved via efficient interior-point algorithms. A numerical example is presented to illustrate the feasibility and advantages of the proposed design scheme.
Ligang WU Changhong WANG Huijun GAO Qingshuang ZENG
针对一类具有不确定网络诱导时延和范数有界未知输入影响的网络控制系统(Networked Control System s,简称NCS),研究了故障诊断滤波器的设计问题。通过构造基于观测器的滤波残差系统,将故障诊断滤波器的设计问题归结为H∞滤波问题。通过引入2个附加的松弛矩阵使Lyapunov矩阵和系统矩阵分离,得到了一个新的鲁棒H∞性能判据,并基于该判据设计了系统的鲁棒H∞滤波器。设计的滤波器不但保证闭环系统的二次稳定性,同时使残差系统的H∞范数小于一个给定的衰减水平γ,并且设计了一个迭代算法来得到问题的优化解。最后通过一个仿真算例验证了所提出算法的可行性和有效性。
