Variance-constrained control for uncertain stochastic systems with missing measurements

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

67 Scopus Citations
View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)746-753
Journal / PublicationIEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.
Issue number5
Publication statusPublished - Sep 2005


In this paper, we are concerned with a new control problem for uncertain discrete-time stochastic systems with missing measurements. The parameter uncertainties are allowed to be norm-bounded and enter into the state matrix. The system measurements may be unavailable (i.e., missing data) at any sample time, and the probability of the occurrence of missing data is assumed to be known. The purpose of this problem is to design an output feedback controller such that, for all admissible parameter uncertainties and all possible incomplete observations, the system state of the closed-loop system is mean square bounded, and the steady-state variance of each state is not more than the individual prescribed upper bound. We show that the addressed problem can be solved by means of algebraic matrix inequalities. The explicit expression of the desired robust controllers is derived in terms of some free parameters, which may be exploited to achieve further performance requirements. An illustrative numerical example is provided to demonstrate the usefulness and flexibility of the proposed design approach. © 2005 IEEE.

Research Area(s)

  • Algebraic matrix inequality, Incomplete observation, Missing signal, Robust control, Stochastic control, Variance constraints

Citation Format(s)