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|Title:||Stability analysis and control design of discrete-time switched affine systems|
|Author:||Deaecto, Grace S.|
Geromel, Jose C.
|Abstract:||This technical note focuses on stability analysis and control design of switched affine systems in discrete-time domain. The stability conditions are obtained by taking into account that the system trajectories, governed by a certain switching function, converge to a set of attraction nu containing a desired equilibrium point. These conditions follow from the adoption of a general quadratic Lyapunov function whose time variation is bounded above by a concave-convex function with center determined by minimax theory. Our main contribution is to provide a stabilizing state feedback switching function and an invariant set of attraction nu* with minimum volume as far as this class of quadratic Lyapunov functions is adopted. The results are applied to sampled-data control of continuous-time switched affine systems with chattering avoidance. The speed control of a DC motor is presented|
|Editor:||Institute of Electrical and Electronics Engineers|
|Appears in Collections:||FEEC - Artigos e Outros Documentos|
FEM - Artigos e Outros Documentos
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