Stability analysis of generalized second-order nonlinear control systems

To overcome the constant boundedness and slow time-varying constraints of disturbances, this paper presents a generalized second-order nonlinear control algorithm (GSONCA) and resulting a generalized second-order nonlinear control system (GSONCS), and further studies the stability and disturbance re...

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Vydáno v:Journal of the Franklin Institute Ročník 362; číslo 6; s. 107606
Hlavní autoři: Wang, Cong, Li, Li, Yao, Minghui, Wu, Qiliang, Niu, Yan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 01.04.2025
Témata:
Disturbance rejection
Generalized second-order nonlinear control algorithm
Parameter tuning
Stability analysis
Disturbance rejection
Generalized second-order nonlinear control algorithm
Stability analysis
Parameter tuning
ISSN:0016-0032
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Shrnutí:To overcome the constant boundedness and slow time-varying constraints of disturbances, this paper presents a generalized second-order nonlinear control algorithm (GSONCA) and resulting a generalized second-order nonlinear control system (GSONCS), and further studies the stability and disturbance rejection of GSONCS. Unlike existing similar works, the GSONCS is a universal second-order system framework including nonlinear, time-varying, and switching terms, which is able to deal with time-dependent and state-dependent disturbances. All possible equilibrium points are discussed for the GSONCS, and the existence condition of a unique equilibrium point is constructed. Several practical stability inequalities of coefficients are established for the GSONCS where the coefficients can be almost arbitrary functions of state variable and time, which unify the stability criterion of second-order linear and nonlinear systems. Based on the proposed stability results, the disturbance rejection conditions of GSONCS are derived, and the good robustness of state-dependent-type second-order nonlinear systems is confirmed. As the applications of GSONCS, the parameter tuning methods of popular second-order algorithms are provided, and simulations on DC-DC converters are presented to validate the proposed GSONCA.
ISSN:0016-0032
DOI:10.1016/j.jfranklin.2025.107606