Memory-based passive control design for complex networked fuzzy delta operator systems

Abstract

This article investigates the memory-based state-feedback control with strict passivity performance for nonlinear systems in delta domain. Takagi-Sugeno fuzzy model of delta operator form is adopted as an approximator of the investigated nonlinear plant with system perturbations/exogenous disturbances. The nonlinear output of the plant, which is accompanied with complex exogenous disturbances, is formulated as the passive output satisfying a pre-designed strict passivity performance. The memory-based state-feedback controller is expressed with a known memory coefficient to significant the influence of the delayed states. The resulting closed-loop system is inferred as a time-varying delay system, of which the stability and passivity criterion is carried out via a general fuzzy Lyapunov-Krasovskii functional approach. Then, parametric gains of the desired strictly passive memory-based controller are designed subject to a set of solvable matrix inequalities. Finally, a numerical example shows the validity of the proposed memory-based passive control method.

Modeling, optimization, and control for complex networked systems

“…In the paper by Zhao et al, 13 the authors investigate a strict passivity performance requirement to resolve a memory-based state feedback control issue in the delta domain for a class of Takagi-Sugeno fuzzy systems, and the corresponding nonlinear output is formulated as the passive output satisfying a prescribed strict passivity performance. The stability analysis and passivity criterion are dealt with via a fuzzy Lyapunov-Krasovskii functional approach, and the desired strictly passive memory-based controller is designed using the linear matrix inequality (LMI) technique.…”