Title :
Using Inverse Nonlinearities in Robust Output Feedback Guaranteed Cost Control of Nonlinear Systems
Author :
Rehman, Obaid Ur ; Petersen, Ian R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at ADFA, Canberra, ACT, Australia
Abstract :
This paper extends the result of an earlier paper on constructive robust nonlinear output feedback controller design, which is based on the use of IQCs and minimax LQG control. In this paper, in addition to copies of the nonlinearities, we include copies of the inverses of the nonlinearities in the controller. Consequently more IQCs are exploited in the design procedure, which gives a smaller bound on the closed-loop cost function than the earlier result.
Keywords :
closed loop systems; control nonlinearities; control system synthesis; feedback; linear quadratic Gaussian control; minimax techniques; nonlinear control systems; robust control; IQC; closed-loop cost function; constructive robust nonlinear output feedback controller design; design procedure; inverse nonlinearities; minimax LQG control; nonlinear systems; robust output feedback guaranteed cost control; Eigenvalues and eigenfunctions; Nonlinear systems; Output feedback; Symmetric matrices; Uncertain systems; Uncertainty; Nonlinear control system; repeated nonlinearity; robust nonlinear system; uncertain nonlinear system;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2352712
