TIME OPTIMAL CONTROL OF NON-LINEAR SAMPLEDDATA SYSTEMS,
Abstract
Procedures for the investigation of controllability, attainability and reachability of sampled-data systems with saturation constraints are presented. Necessary and sufficient conditions for complete controllability, attainability and reachability of single-input, time-invariant, sampled-data systems with saturation constraints are given. Conditional controllability, attainability and reachability are introduced and sufficient conditions are derived. Complete controllability and attainability of time-varying systems are investigated also. Simple sufficient conditions are derived when the system matrices are either asymptotic to constant matrices or periodic. Procedures for the formulation of optimal strategies are discussed. The optimal strategy used in this thesis involves forcing the system to the boundary surface first, and then to the desired state. The above procedure is not only simple, but also applicable to both time-invariant and time-varying sampled-data systems of arbitrary order. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1964
- Accession Number
- AD0601622
Entities
People
- Soe M. Win
Organizations
- University of Illinois Urbana–Champaign