Nonlinear observer design by observer error linearization
SIAM Journal on Control and Optimization
On the state observation and output feedback problems for nonlinear uncertain dynamic systems
Systems & Control Letters
Robust stabilization of feedback linearizable time-varying uncertain nonlinear systems
Automatica (Journal of IFAC) - Special issue on robust control
Global stabilization by output feedback: examples and counterexamples
Systems & Control Letters
Technical Communique: Decentralized Output Feedback Robust Control for Nonlinear Large-scale Systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
State and input simultaneous estimation for a class of nonlinear systems
Automatica (Journal of IFAC)
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In this article, the design problems of full-order state observer, reduced-order state observer and dynamic output feedback stabilization control are investigated for a class of systems with nonlinear uncertainty. Inspired by Ha and Trinh (Automatica, 40, pp. 1779-1785, 2004), the nonlinear uncertainty is assumed to be a combination of a known Lipschitz nonlinear part and an unknown state-dependent part, on which there is no restriction, such as Lipschitz condition or monotonicity etc., imposed. The existence conditions and design methods of full-order and reduced-order state observers are obtained by means of linear matrix inequalities. Moreover, a dynamic output feedback control is constructively given to exponentially stabilize the closed-loop system.