Controller Design for Robust Stability and Performance

Controller Design for Robust Stability and Performance

The closed loop system property (A+BG) ≪ 0 is important for robust stability and performance to errors in model parameters. This paper defines the set of all G such that (A+BG) ≪ 0 for a given A and B, and develops a strategy for choosing a particular gain from this set that satisfies the following...

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Bibliographic Details
Published in:1986 American Control Conference pp. 1813 - 1817
Main Authors: Hotz, Anthony F., Skelton, Robert E.
Format: Conference Proceeding
Language:English
Published: IEEE 01-06-1986
Subjects:
Closed loop systems
Control system synthesis
Control systems
Error correction
Feedback control
Performance gain
Robust stability
Robustness
Uncertain systems
Uncertainty
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Summary:The closed loop system property (A+BG) ≪ 0 is important for robust stability and performance to errors in model parameters. This paper defines the set of all G such that (A+BG) ≪ 0 for a given A and B, and develops a strategy for choosing a particular gain from this set that satisfies the following objectives: (i) The root-mean squared (rms) value for each system state of the nominal system is less than or equal to some prespecified values for a given disturbance environment. (ii) The rms value for each state of the uncertain system is less than or equal to the same prespecified values in (i) for an a posteriori determined set of perturbations.
DOI:10.23919/ACC.1986.4789220