Solution Space Approach to Optimal Control ProblemsSource: Journal of Fluids Engineering:;1961:;volume( 083 ):;issue: 001::page 53Author:Yu-Chi Ho
DOI: 10.1115/1.3658890Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we study the control of the dynamic system governed by the matrix differential equation, ẋ = Fx + Du , x (0) = −c , where the input vector u is constrained in amplitude. It is shown that in the discrete (sampled data) case: (a) The general optimal control problem can be formulated as a nonlinear programming problem amenable to treatment by techniques developed in the operation research field. (b) The specific time optimal control problem originally studied by Kalman is treated here using a different approach which yields well-known as well as new results.
keyword(s): Optimal control , Nonlinear programming , Time optimal control , Differential equations AND Dynamic systems ,
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| contributor author | Yu-Chi Ho | |
| date accessioned | 2017-05-09T01:36:55Z | |
| date available | 2017-05-09T01:36:55Z | |
| date copyright | March, 1961 | |
| date issued | 1961 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27228#53_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/164063 | |
| description abstract | In this paper, we study the control of the dynamic system governed by the matrix differential equation, ẋ = Fx + Du , x (0) = −c , where the input vector u is constrained in amplitude. It is shown that in the discrete (sampled data) case: (a) The general optimal control problem can be formulated as a nonlinear programming problem amenable to treatment by techniques developed in the operation research field. (b) The specific time optimal control problem originally studied by Kalman is treated here using a different approach which yields well-known as well as new results. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Solution Space Approach to Optimal Control Problems | |
| type | Journal Paper | |
| journal volume | 83 | |
| journal issue | 1 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3658890 | |
| journal fristpage | 53 | |
| journal lastpage | 58 | |
| identifier eissn | 1528-901X | |
| keywords | Optimal control | |
| keywords | Nonlinear programming | |
| keywords | Time optimal control | |
| keywords | Differential equations AND Dynamic systems | |
| tree | Journal of Fluids Engineering:;1961:;volume( 083 ):;issue: 001 | |
| contenttype | Fulltext |