Unified Theory for Sampled-Data Control of Hybrid Dynamic Systems
Discretization methods for impulsive optimal control problems
Optimality conditions of vector-valued impulsive control problems.
| Full text | |
| Author(s): |
de Oliveira, Valeriano A.
;
Silva, Geraldo N.
;
Pereira, Fernando Lobo
;
IEEE
Total Authors: 4
|
| Document type: | Journal article |
| Source: | 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC); v. N/A, p. 6-pg., 2012-01-01. |
| Abstract | |
In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed. (AU) | |
| FAPESP's process: | 11/01977-2 - Contributions in optimal control theory |
| Grantee: | Valeriano Antunes de Oliveira |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 09/18643-0 - Optimal control of nonlinear systems |
| Grantee: | Geraldo Nunes Silva |
| Support Opportunities: | Regular Research Grants |