Convexity of quadratic transformations and its use in control and optimization
Journal of Optimization Theory and Applications
Synthesis of nonfragile controllers on the basis of linear matrix inequalities
Automation and Remote Control
Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
Automation and Remote Control
Suppression of bounded exogenous disturbances: Output feedback
Automation and Remote Control
Petersen's lemma on matrix uncertainty and its generalizations
Automation and Remote Control
Suppression of bounded exogenous disturbances: A linear dynamic output controller
Automation and Remote Control
Settling time in a linear dynamic system with bounded external disturbances
Automation and Remote Control
Optimal feedback design under bounded control
Automation and Remote Control
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We suggest an approach to the problem of building a nonfragile controller, i.e., one that would allow for variation in its parameters, in order to suppress bounded exogenous disturbances in a linear dynamic system. We consider both continuous and discrete version of the problem and also its robust version. As an example, we study the control problem for a double oscillator.