Abstract
This paper develops an abstract framework for analysis and approximation of linear thermoelastic control systems, and for design of finite-dimensional compensators. The thermoelastic systems in this paper consist of abstract wave and diffusion equations coupled in a skew self-adjoint fashion. Linear semigroup theory is used to establish that the abstract thermoelastic models are well posed and to prove convergence of generic approximation schemes. Open-loop uniform exponential stability for a subclass of thermoelastic systems is proved via a Lyapunov function. An example involving the design of an optimal linear-quadratic-Gaussian (LQG) compensator for a thermoelastic rod illustrates the application of the abstract theory. Results of an extensive numerical study, including a comparison of the closed-loop performance of different compensator designs, are presented and discussed.
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.
