access icon free Switching design of stabilising switched neutral systems with application to lossless transmission lines

The authors study the problem of asymptotically stabilising a class of switched neutral systems whose states cannot be directly measured. A state observer for each individual subsystem is constructed, based on which a switching law and a switching controller are designed. The designed switching law sufficiently considers the delayed states information. The authors adopt the multiple Lyapunov–Krasovskii functionals method to obtain a sufficient solvability condition for stabilisation which possesses less conservativeness. The authors also extend this method to stabilise switched neutral systems with time-varying structural uncertainties. Two examples are given to demonstrate the effectiveness of the authors’ proposed method.

Inspec keywords: time-varying systems; uncertain systems; computability; control system synthesis; Lyapunov methods; transmission lines; neurocontrollers; observers; asymptotic stability

Other keywords: delayed state information; multiple Lyapunov-Krasovskii functionals method; lossless transmission lines; stabilising switched neutral system; state observer; conservativeness; switching controller design; switched neutral systems; switching law; asymptotic stabilisation; time-varying structural uncertainties; sufficient solvability condition

Subjects: Stability in control theory; Neurocontrol; Control system analysis and synthesis methods; Time-varying control systems

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