NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Collections About News Help Login
Back to Results
Closed-form solutions for linear regulator design of mechanical systems including optimal weighting matrix selectionVibration in modern structural and mechanical systems can be reduced in amplitude by increasing stiffness, redistributing stiffness and mass, and/or adding damping if design techniques are available to do so. Linear Quadratic Regulator (LQR) theory in modern multivariable control design, attacks the general dissipative elastic system design problem in a global formulation. The optimal design, however, allows electronic connections and phase relations which are not physically practical or possible in passive structural-mechanical devices. The restriction of LQR solutions (to the Algebraic Riccati Equation) to design spaces which can be implemented as passive structural members and/or dampers is addressed. A general closed-form solution to the optimal free-decay control problem is presented which is tailored for structural-mechanical system. The solution includes, as subsets, special cases such as the Rayleigh Dissipation Function and total energy. Weighting matrix selection is a constrained choice among several parameters to obtain desired physical relationships. The closed-form solution is also applicable to active control design for systems where perfect, collocated actuator-sensor pairs exist.
Document ID
19910012259
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hanks, Brantley R. (NASA Langley Research Center Hampton, VA., United States)
Skelton, Robert E. (Purdue Univ. West Lafayette, IN., United States)
Date Acquired
September 6, 2013
Publication Date
March 1, 1991
Subject Category
Structural Mechanics
Report/Patent Number
NAS 1.15:104052
NASA-TM-104052
Meeting Information
Meeting: Structures, Structural Dynamics and Materials Conference
Location: Baltimore, MD
Country: United States
Start Date: April 8, 1991
End Date: April 10, 1991
Accession Number
91N21572
Funding Number(s)
PROJECT: RTOP 590-14-61-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

Related Records

There are no records associated with this record.
No Preview Available