Minimization of the maximum peak-to-peak gain: the general multiblock problem

A comprehensive study of the general l/sub 1/-optimal multiblock problem and a new linear programming algorithm for computing suboptimal controllers are presented. By formulating the interpolation conditions in a concise and natural way, the general theory is developed in simpler terms and with a mi...

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Bibliographic Details
Published in:IEEE transactions on automatic control Vol. 38; no. 10; pp. 1459 - 1482
Main Authors: Diaz-Bobillo, I.J., Dahleh, M.A.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.10.1993
Institute of Electrical and Electronics Engineers
Subjects:
Applied sciences
Computer science; control theory; systems
Control systems
Control theory. Systems
Delay
Design optimization
Exact sciences and technology
Interpolation
Iterative methods
Linear programming
Optimal control
Polynomials
Robustness
Time domain analysis
Vectors
Interpolation
Suboptimal control
Optimal solution
Control synthesis
Linear programming
Aircraft
Optimization
ISSN:0018-9286
Online Access:Get full text
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Summary:A comprehensive study of the general l/sub 1/-optimal multiblock problem and a new linear programming algorithm for computing suboptimal controllers are presented. By formulating the interpolation conditions in a concise and natural way, the general theory is developed in simpler terms and with a minimum number of assumptions. In addition, further insight is gained into the structure of the optimal solution, and different classes of multiblock problems are distinguished. This leads to a conceptually attractive, iterative method for finding approximate solutions.< >
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ISSN:0018-9286
DOI:10.1109/9.241561