Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 86, Issue 10, Pages 1837-1849Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2013.797108
Keywords
H-2 control; periodic systems; Markov jump; multiplicative noise; exact observability; LMI optimisation
Categories
Funding
- National 973 Program [2012CB821200, 2012CB821201]
- NSFC [61134005, 60921001, 90916024, 91116016]
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This paper addresses the problem of optimal and robust H-2 control for discrete-time periodic systems with Markov jump parameters and multiplicative noise. To analyse the system performance in the presence of exogenous random disturbance, an H-2 norm is firstly established on the basis of Gramian matrices. Further, under the condition of exact observability, a necessary and sufficient condition is presented for the solvability of H-2 optimal control problem by means of a generalised Riccati equation. When the transition probabilities of jump parameter are incompletely measurable, an H-2-guaranteed cost norm is exploited and the robust H-2 controller is designed through a linear matrix inequality (LMI) optimisation approach. An example of a networked control system is supplied to illustrate the proposed results.
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