Control of nonlinear uncertain object in the problem of motion along the given trajectory
We formulate the optimal control problem for a class of nonlinear objects that can be represented as objects with linear structure and state-dependent coefficients. We assume that the system is subjected to uncontrollable bounded disturbances. The linear structure of the transformed nonlinear system...
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| Published in | Automation and remote control Vol. 76; no. 1; pp. 1 - 15 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Pleiades Publishing
2015
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| Subjects | |
| Online Access | Get full text |
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| Abstract | We formulate the optimal control problem for a class of nonlinear objects that can be represented as objects with linear structure and state-dependent coefficients. We assume that the system is subjected to uncontrollable bounded disturbances. The linear structure of the transformed nonlinear system and the quadratic quality functional let us, in the optimal control synthesis, to pass from Hamilton-Jacobi-Isaacs equations to a state-dependent Riccati equation. Control of nonlinear uncertain object in the problem of moving along a given trajectory is considered using the theory of differential games. We also give an example that illustrates how theoretical results of this work can be used. |
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| AbstractList | We formulate the optimal control problem for a class of nonlinear objects that can be represented as objects with linear structure and state-dependent coefficients. We assume that the system is subjected to uncontrollable bounded disturbances. The linear structure of the transformed nonlinear system and the quadratic quality functional let us, in the optimal control synthesis, to pass from Hamilton-Jacobi-Isaacs equations to a state-dependent Riccati equation. Control of nonlinear uncertain object in the problem of moving along a given trajectory is considered using the theory of differential games. We also give an example that illustrates how theoretical results of this work can be used. |
| Author | Afanas’ev, V. N. |
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| CitedBy_id | crossref_primary_10_1080_00207179_2019_1643492 crossref_primary_10_1016_j_ifacol_2016_07_631 |
| Cites_doi | 10.1007/978-1-4612-1336-9_23 10.3182/20110828-6-IT-1002.00518 |
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| Copyright | Pleiades Publishing, Ltd. 2015 |
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| Keywords | Quadratic Quality Nonlinear Object Optimal Control Problem 17th IFAC Remote Control |
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| References | Mrasek, Clouter (CR2) 1998 CR3 Salnci, Gokbilen (CR6) 2007 Friedland (CR5) 2007 CR8 CR7 Mrasek (CR4) 2007 Fedorenko (CR14) 1978 Albert (CR12) 1972 Person (CR1) 1962 Athans, Falb (CR9) 1966 Sain, Won, Spencer, Liberty (CR11) 2000; 5 Afanas’ev, Kolmanovskii, Nosov (CR10) 2003 Lancaster, Tismenetsky (CR13) 1985 CP Mrasek (195_CR4) 2007 VN Afanas’ev (195_CR10) 2003 P Lancaster (195_CR13) 1985 B Friedland (195_CR5) 2007 A Albert (195_CR12) 1972 RP Fedorenko (195_CR14) 1978 M Athans (195_CR9) 1966 MK Sain (195_CR11) 2000; 5 MU Salnci (195_CR6) 2007 195_CR7 195_CR8 JD Person (195_CR1) 1962 CP Mrasek (195_CR2) 1998 195_CR3 |
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| SubjectTerms | CAE) and Design Calculus of Variations and Optimal Control; Optimization Computer-Aided Engineering (CAD Control Differential games Disturbances Dynamical systems Mathematical analysis Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Nonlinear Systems Nonlinearity Optimal control Remote control Riccati equation Robotics Systems Theory Trajectories |
| Title | Control of nonlinear uncertain object in the problem of motion along the given trajectory |
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