scholarly journals Error estimate for optimality of distributed parameter control problems via duality

1995 ◽  
Vol 8 (2) ◽  
pp. 177-188
Author(s):  
W. L. Chan ◽  
S. P. Yung
Keyword(s):  
Error Estimate ◽  
Error Estimates ◽  
Boundary Control ◽  
Impulsive Control ◽  
Hyperbolic Systems ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Sharp Error

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.

An idea of distributed parameter control for scramjet engines

2007 ◽  
Vol 111 (1126) ◽  
pp. 787-796 ◽  
Author(s):  
Y. Daren ◽  
C. Tao ◽  
B. Wen
Keyword(s):  
Shape Control ◽  
Space Dimension ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Wide Range ◽  
Scramjet Engine ◽  
Scramjet Engines ◽  
Wall Injection

AbstractScramjet engines are used under extreme temperatures and with wide range of Mach numbers from 3 to 8 or higher and have shown different control properties from other airbreathing engines. New control problems involving distributed parameter control have been found concerning investigations of the control of scramjet engines whose physical states are spatially interacted and whose governing equations are partial differential equations. The work of this paper is based on the application of distributed parameter control conception to study the control problems of scramjet engines with the aim of achieving the desirable design properties and increasing control reliability. A new control idea based on shape control theory is put forward to realise the distributed parameter control of scramjet engines with the preconditions of proper space dimension and frequency-domain simplification. Simulation results and theoretic analysis for an axisymmetric, wall-injection scramjet engine show the feasibility and validity of the control idea.

scholarly journals On distributed parameter control systems in the abnormal case and in the case of nonoperator equality constraints

1993 ◽  
Vol 6 (2) ◽  
pp. 137-151
Author(s):  
Urszula Ledzewicz
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Optimal Control Problems ◽  
Equality Constraints ◽  
Extremum Principle ◽  
Distributed Parameter ◽  
Control Problems ◽  
Parameter Control ◽  
Distributed Parameter Control ◽  
Lusternik Theorem

In this paper, a general distributed parameter control problem in Banach spaces with integral cost functional and with given initial and terminal data is considered. An extension of the Dubovitskii-Milyutin method to the case of nonregular operator equality constraints, based on Avakov's generalization of the Lusternik theorem, is presented. This result is applied to obtain an extension of the Extremum Principle for the case of abnormal optimal control problems. Then a version of this problem with nonoperator equality constraints is discussed and the Extremum Principle for this problem is presented.

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