| Full text | |
| Author(s): |
Zabala, Yeison A.
[1]
;
Costa, V, Oswaldo L.
Total Authors: 2
|
| Affiliation: | [1] V, Univ Sao Paulo, Dept Engn Telecomunicacoes & Controle, Escola Politecn, BR-05508010 Sao Paulo, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | IEEE ACCESS; v. 8, p. 62969-62979, 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper studies the static output quadratic control problem of discrete-time Markov jump linear systems (MJLS) with hard constraints on the norm of the state and control variables. Both cases the finite horizon as well as the infinite horizon are considered. Regarding the Markov chain parameter theta (k), it is assumed that the controller only has access to a detector which emits signals (theta) over cap (k) providing information on the parameter theta (k). The goal is to design a static output feedback linear control using the information provided by detector (theta) over cap (k) in order to minimize an upper bound for the quadratic cost and satisfy the hard constraints. For the infinite horizon case it is also imposed that the controller stochastically stabilizes the closed loop system. LMIs (linear matrix inequalities) are formulated in order to obtain a solution for these optimization problems. The cases in which the initial conditions are fixed and when it is desired to maximize an estimate of the domain of an invariant set are also analyzed. Some numerical examples are presented for the purpose of illustrating the results obtained. (AU) | |
| FAPESP's process: | 14/50279-4 - Brasil Research Centre for Gas Innovation |
| Grantee: | Julio Romano Meneghini |
| Support Opportunities: | Research Grants - Research Centers in Engineering Program |
| FAPESP's process: | 14/50851-0 - INCT 2014: National Institute of Science and Technology for Cooperative Autonomous Systems Applied in Security and Environment |
| Grantee: | Marco Henrique Terra |
| Support Opportunities: | Research Projects - Thematic Grants |