scholarly journals Sufficient relative minimum conditions for discrete-continuous control systems

2020 ◽  
Vol 11 (2) ◽  
pp. 61-73
Author(s):  
Irina Viktorovna Rasina ◽  
Oles Vla\-di\-mi\-ro\-vich Fesko
Keyword(s):  
Numerical Methods ◽  
Optimality Conditions ◽  
Control Systems ◽  
Control Mode ◽  
Sufficient Optimality Conditions ◽  
Continuous Control ◽  
Relative Minimum ◽  
Verification Conditions

In this paper, we derive sufficient relative minimum conditions for discrete-continuous control systems on the base of Krotov’s sufficient optimality conditions counterpart. These conditions can be used as verification conditions for suggested control mode and enable one to construct new numerical methods.

scholarly journals Sufficient relative minimum conditions for discrete-continuous control systems

2020 ◽  
Vol 11 (2) ◽  
pp. 47-59
Author(s):  
Ирина Викторовна Расина ◽  
Олесь Владимирович Фесько
Keyword(s):  
Control Systems ◽  
Continuous Control ◽  
Relative Minimum

На основе аналога достаточных условий оптимальности Кротова выводятся достаточные условия относительного минимума для дискретно-непрерывных систем (ДНС). Эти условия могут быть использованы как проверочные для предлагаемого режима управления, так и для построения численных методов.

Effects of Input and Output Predictions on Manual Control Performance

1978 ◽  
Vol 22 (1) ◽  
pp. 360-364 ◽  
Author(s):  
Tarald O. Kvålseth
Keyword(s):  
Control Systems ◽  
Digital Control ◽  
Control Mode ◽  
Fast Time ◽  
Continuous Control ◽  
Control Performance ◽  
Statistical Nature ◽  
Time Model ◽  
Compensatory Control ◽  
Model Predictions

This study analyzed the possible effects of providing the human operator with either input or output predictions during digital control tasks. The output predictions were generated by a method somewhat related to the fast-time model predictions used for time-continuous control systems, while the input predictions were of a statistical nature. The results indicated that output predictions tended to enhance the control performance, especially for subjects with no previous digital control experience. However, the input predictions did not have any significant effects on the performance during either the pursuit or the compensatory control mode.

Optimal control of higher order differential inclusions with functional constraints

2020 ◽  
Vol 26 ◽  
pp. 37 ◽  
Author(s):  
Elimhan N. Mahmudov
Keyword(s):  
Optimal Control ◽  
Optimality Conditions ◽  
Differential Inclusion ◽  
Differential Inclusions ◽  
Higher Order ◽  
Second Order ◽  
Sufficient Optimality Conditions ◽  
Functional Constraints ◽  
Complementary Slackness ◽  
Complementary Slackness Conditions

The present paper studies the Mayer problem with higher order evolution differential inclusions and functional constraints of optimal control theory (PFC); to this end first we use an interesting auxiliary problem with second order discrete-time and discrete approximate inclusions (PFD). Are proved necessary and sufficient conditions incorporating the Euler–Lagrange inclusion, the Hamiltonian inclusion, the transversality and complementary slackness conditions. The basic concept of obtaining optimal conditions is locally adjoint mappings and equivalence results. Then combining these results and passing to the limit in the discrete approximations we establish new sufficient optimality conditions for second order continuous-time evolution inclusions. This approach and results make a bridge between optimal control problem with higher order differential inclusion (PFC) and constrained mathematical programming problems in finite-dimensional spaces. Formulation of the transversality and complementary slackness conditions for second order differential inclusions play a substantial role in the next investigations without which it is hardly ever possible to get any optimality conditions; consequently, these results are generalized to the problem with an arbitrary higher order differential inclusion. Furthermore, application of these results is demonstrated by solving some semilinear problem with second and third order differential inclusions.

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