Title :
Multiple objective optimal control of linear systems: the quadratic norm case
Author :
Khargonekar, Pramod P. ; Rotea, Mario A.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
1/1/1991 12:00:00 AM
Abstract :
Control of a linear system to meet requirements embodied in multiple performance criteria is recognized as the typical design problem. The authors study the design of control when every criterion of interest takes the form of an H2 norm defined over certain exogenous inputs and controlled outputs of the system. The objective is to find all stabilizing controllers that are noninferior with respect to the defined objectives, that is, to find the set of Pareto-optimal controllers. The novel feature is the use of the Youla parametrization to represent the admissible controllers. This representation enables the authors to show that each criterion, and hence their weighted sum, is convex over the class of admissible controllers. Since the set of admissible controllers is itself convex, the Pareto-optimal controllers can be determined by the standard scalarization technique. It is concluded that, in general, the controller order is higher than the order of the plant
Keywords :
control system synthesis; linear systems; optimal control; Pareto-optimal controllers; Youla parametrization; design; linear systems; multiple performance criteria; optimal control; quadratic norm; scalarization; Computer aided software engineering; Control system synthesis; Control systems; Cost function; Hilbert space; Hydrogen; Linear systems; Optimal control; Robust stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on