Abstract
A necessary condition for the optimal control of a class of integral equation constraint systems is derived by use of variational method with finite perturbation of the control variable. It is shown that certain linear partial differential equation systems with performance index based on the output variable of the system can be transformed into integral equation constraint problems. An analytical result for the singular control of a distributed-parameter system is obtained. Computational results are given for the optimal control of the thin-wall heat exchanger with steam heating control. When the kernel of the integral equation is e A(t-τ) u(τ), the system can be transformed into a related linear lumped-parameter system. The well-known optimization techniques of lumped-parameter systems can be applied to construct optimal control. Using a quadratic performance index a linear feedback control law can be obtained. Only the measurement of the output variable is required to generate the feedback control law for the servo problem. For the regulator problem the state of the system must be known before the feedback control law can be constructed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
