The optimal choice of control constraints |
| |
| Authors: | AM Shmatkov |
| |
| Institution: | 1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China;2. School of Mathematics and Statistics, The University of New South Wales, Sydney, 2052, Australia;1. Department of Mechanical and Industrial Engineering, Faculty of Science and Technology, New University of Lisbon, 2829-516 Monte de Caparica, Portugal;2. Department of Mechanical Engineering, IDMEC/Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;1. College of Civil Engineering and Architecture, Zhejiang University, 310027, PR China;2. Department of Mechanics, The State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, 310027, PR China |
| |
| Abstract: | The problem of the optimal choice of the limits of a set of possible values of the control during motion for the purpose of obtaining the required form of the attainability set of a linear dynamical system in a specified time interval is considered. Using the method, in which these sets are approximated by ellipsoids, the problem of controlling the parameters of the ellipsoid containing the control vector is solved. Then a functional, which depends on the matrix of the ellipsoid, containing the phase vector, reaches its maximum. The order in which the corresponding formulae are used is illustrated using the example of a simple mechanical system. The results obtained are suitable for systems in which, instead of the control vector, there is an interference vector with controllable boundaries of possible changes and can be extended to stochastic systems. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
