Title :
Minimizing the truncation error in assumed modes models of structures
Author :
Moheimani, S. O Reza ; Clark, Robert L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
The assumed modes approach is a widely used technique in modeling of distributed systems. Such models often consist of a large number of modes. For controller design purposes these models are simplified by truncating the modes that lie out of the bandwidth of interest. Truncation can alter zeros of the system. This paper presents a method of minimizing the truncation error by adding a second order term to the truncated model. This extra term is determined such that the in-bandwidth error is minimized in an optimal H2 sense. The technique is extended to multivariable systems
Keywords :
H∞ optimisation; control system synthesis; distributed control; minimisation; modelling; poles and zeros; roundoff errors; assumed modes models; controller design; distributed system modeling; in-bandwidth error; multivariable systems; optimal H2 error minimization; second-order term; structure models; truncation error minimization; zeros; Acoustic beams; Bandwidth; Control design; Ducts; Finite wordlength effects; Frequency; MIMO; Materials science and technology; Mechanical engineering; Partial differential equations;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878610
