access icon free Separation principle of quasi-one-sided Lipschitz non-linear systems

In this study, the stabilisation of quasi-one-sided Lipschitz non-linear systems is investigated. For the quasi-one-sided Lipschitz non-linear system, a condition for the existence of the observer is presented. For the weak quasi-one-sided Lipschitz non-linear system, a state feedback controller is proposed and a condition is derived for the existence of the state feedback controller. The separation principle is obtained for the observer-based controller of the quasi-one-sided Lipschitz non-linear systems. The main results in this study extend and improve those in the literature. Numerical examples are given to illustrate the main results.

Inspec keywords: nonlinear control systems; state feedback; linear matrix inequalities; observers; stability

Other keywords: observer-based controller; state feedback controller; quasione-sided Lipschitz nonlinear systems stabilisation; separation principle

Subjects: Algebra; Nonlinear control systems; Simulation, modelling and identification; Stability in control theory

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