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LINEAR QUADRATIC REGULATOR FOR A CLASS OF MARKOVIAN JUMP SYSTEMS WITH CONTROL IN JUMPS

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Author(s):
Vargas, Alessandro N. ; Ishihara, Joao Y. ; do Val, Joao B. R. ; IEEE
Total Authors: 4
Document type: Journal article
Source: 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC); v. N/A, p. 4-pg., 2010-01-01.
Abstract

This paper presents a suboptimal control strategy for the linear quadratic regulator problem of Markov jump linear systems subject to control in jumps. The system under study has a dual switching structure, in a manner that the system parameters jump according to both a Markov chain and a given switching control rule. The sub optimal control policy, derived via dynamic programming argument, relies on a special set of positive semidefinite matrices, in the sense that the number of elements of this set increases via a combinatorial step-by-step argument, applied at each time stage. An example is presented to illustrate the result. (AU)

FAPESP's process: 03/06736-7 - Control and filtering of Markovian jumping parameters stochastic systems
Grantee:João Bosco Ribeiro do Val
Support Opportunities: Research Projects - Thematic Grants