| Full text | |
| Author(s): |
Gabriel, Gabriela W.
;
Geromel, Jose C.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | IFAC PAPERSONLINE; v. 51, n. 25, p. 6-pg., 2018-01-01. |
| Abstract | |
This paper presents a general and unified approach to the stability and performance analysis of Markov jump nonlinear systems governed by a state feedback sampled-data control law, where the sampling instants are evenly spaced. Initially, the closed-loop system is equivalently described as a hybrid system. Then, mean square stability and performance optimization of the general nonlinear hybrid system are addressed. This study is based on the existence of a solution of a Two-Point Boundary Value Problem (TPBVP) composed by a Hamilton-Jacobi-Bellman Equation (HJBE) and defined in the time interval corresponding to two consecutive sampling instants. Solving this TPBVP implies that the performance index of interest is exactly evaluated. Additionally, a numerical method is proposed to cope with the H-2 framework. In this case, a guaranteed upper bound to the referred index is obtained. Examples illustrates the proposed theoretical results. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 16/06343-5 - Unified Theory for Sampled-Data Control of Hybrid Dynamic Systems |
| Grantee: | Gabriela Werner Gabriel |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |