This letter is devoted to the asynchronous observer-based H∞ output-feedback control problem for continuous-time piecewise-affine systems via continuous piecewise Lyapunov functions. More precisely, by a system state-input augmentation, the traditional observer-based closed-loop control system is initially re-organized into a descriptor form of the piecewise-affine system. With the construction of a continuous asynchronous piecewise Lyapunov function, a new H∞ performance analysis condition is then presented. Thanks to the special structure of the descriptor format, the asynchronous observer-based control design can be carried out by virtue of a convex program. An illustrative example is finally given to show the efficacy of the proposed scheme.

A new design of asynchronous observer-based output-feedback control for piecewise-affine systems

Karimi H. R.
2019-01-01

Abstract

This letter is devoted to the asynchronous observer-based H∞ output-feedback control problem for continuous-time piecewise-affine systems via continuous piecewise Lyapunov functions. More precisely, by a system state-input augmentation, the traditional observer-based closed-loop control system is initially re-organized into a descriptor form of the piecewise-affine system. With the construction of a continuous asynchronous piecewise Lyapunov function, a new H∞ performance analysis condition is then presented. Thanks to the special structure of the descriptor format, the asynchronous observer-based control design can be carried out by virtue of a convex program. An illustrative example is finally given to show the efficacy of the proposed scheme.
2019
Asynchronous observer; Piecewise Lyapunov function; Piecewise-affine system
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1103135
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