Title :
Robustness of transitions in switched hybrid systems
Author_Institution :
Div. of Optimization & Syst. Theor., R. Inst. of Technol., Stockholm, Sweden
Abstract :
A robustness problem for transitions in switched hybrid systems is considered in this paper. The specific problem is to estimate the size of the image set when a subset of an affine manifold is mapped by an uncertain system to another affine manifold. It is assumed that the system dynamics is linear and that the uncertainty and the disturbances are characterized by integral quadratic constraints. The estimates can be obtained by solving a special affinely parameterized linear quadratic optimal control problem
Keywords :
linear quadratic control; optimal control; optimisation; affine manifold; affinely parameterized linear quadratic optimal control problem; image set; integral quadratic constraints; robustness; switched hybrid systems; system dynamics; transitions; uncertain system; Control systems; Feedback; Optimal control; Piecewise linear techniques; Relays; Robust stability; Robustness; Stability analysis; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980636