| Full text | |
| Author(s): |
Palma, Jonathan M.
;
Morais, Cecilia F.
;
Oliveira, Ricardo C. L. F.
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC); v. N/A, p. 6-pg., 2018-01-01. |
| Abstract | |
This paper deals with discrete-time Markov jump linear systems (MJLS) whose stochastic process that rules the jumps between the operation modes is non-homogeneous (time-varying transition probabilities). This class of systems is specially useful in networked control system problems where the Markov chain can be associated with time-varying parameters that can be measured or estimated, for example, packet loss variant with distance, network congestion, protocol communication, among others. With this motivation, it is proposed a design procedure for H-infinity state-feedback controllers scheduled by the time-varying probabilities, potentially providing improved performance with respect to the standard robust controllers (independent of the probabilities). Synthesis conditions are given in terms of parameter-dependent linear matrix inequalities (LMIs), that can be numerically solved in terms of polynomial approximations of fixed degrees for the decision variables. As a physically motivated example, it is investigated a problem of car pursuit, where the packet loss rate of control signal varies with time, depending on the distance of the vehicle to the control unit. Additionally, the accuracy of the proposed conditions is evaluated through numerical comparisons with techniques from the literature in the case of homogeneous MJLS (time-invariant probabilities). (AU) | |
| FAPESP's process: | 14/22881-1 - Control of switched systems, Markov jump linear systems and other classes of hybrid systems through LMIs |
| Grantee: | Cecília de Freitas Morais |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |