A time-optimal control that steers the phase point for a third-order linear system to the origin is constructed in an explicit analytical form. It is assumed that the characteristic exponents are zero, and the constraints on the control function are non-symmetric. The system simulates the dynamics o
Time-optimal control in a third-order system
โ Scribed by F.L. Chernous'ko; A.M. Shmatkov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 578 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A third-order linear controlled system which simulates the motion of an inertial object acted upon by a control force with a bounded rate of change is considered. The time-optimal open-loop control of the system is constructed. The feedback optimal control is given in dosed form.
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