H∞ tracking control for a class of asynchronous switched nonlinear systems with uncertain input delay

S Pezeshki, MA Badamchizadeh, AR Ghiasi… - Journal of the Franklin …, 2019 - Elsevier
Journal of the Franklin Institute, 2019Elsevier
This paper studies the problems of stability and H∞ model reference tracking performance
for a class of asynchronous switched nonlinear systems with uncertain input delay. First, it is
assumed switched controller and corresponding piecewise Lyapunov function are unknown
but the derivative of piecewise Lyapunov function has a condition; this condition implies that
the nominal system (system without input delay and disturbance) is exponentially stable by
any switched controller which satisfies this condition. With this assumption, a proper …
Abstract
This paper studies the problems of stability and H∞ model reference tracking performance for a class of asynchronous switched nonlinear systems with uncertain input delay. First, it is assumed switched controller and corresponding piecewise Lyapunov function are unknown but the derivative of piecewise Lyapunov function has a condition; this condition implies that the nominal system (system without input delay and disturbance) is exponentially stable by any switched controller which satisfies this condition. With this assumption, a proper Lyapunov–Krasovskii functional is constructed. By employing this new functional and average dwell time technique, the delay-dependent input-to-state stability criteria are derived under a certain delay bound; in addition, a mechanism which finds the upper bound of input delay is proposed. Finally, a kind of state feedback control law which fulfils condition of aforesaid piecewise Lyapunov function is introduced to guarantee the input-to-state stability and H∞ model reference tracking performance. Simulation examples are presented to demonstrate the efficacy of results.
Elsevier
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