On high-gain observer design for nonlinear systems with delayed output measurements

A novel H∞ memory observer design for uncertain switched nonlinear systems using past output measurements

“…So, the conditions ( 16) and ( 17) of Lemma 2 can be shown by the inequalities ( 45) and (46). Based on the above statement, it can be proven that the condition (19) in Theorem 1 can be rewritten to condition (38) for switched systems (36) and observers (37) without nonlinear terms, which the exponential stability of the observer error systems with the prescribed weighted H ∞ performance can still be guaranteed. By using the method similar to the proof of Theorem 2, the inequality (28) in the design of memory observers can be reduced to inequality (39) for switched systems and observers that can model (36) and (37).…”

“…In the observer‐based controller, the performance of the observer will directly affect the control performance of the whole system. Therefore, in the past few decades, scholars have done a lot of work on the performance of the observer, and obtained new effective methods to improve the performance of the observer 36‐40 . For switched linear systems, the work 20 has proposed a new designed approach of multiple‐mode state observer by using ADT switching rule and multiple Lyapunov functions.…”

“…Next, the work 39 has researched the influence of nonlinearities on the observer design, which considers a kind of nonlinear terms of incremental quadratic constraint. Recently, based on the Halanay inequality, the design method of high‐gain observer for nonlinear systems has been given Reference 38, which considers time‐varying delayed output measurements of systems and observers simultaneously. In Reference 40, it is worth noting that the concept of self‐adaptation is introduced into observer design.…”

“…Therefore, in the past few decades, scholars have done a lot of work on the performance of the observer, and obtained new effective methods to improve the performance of the observer. [36][37][38][39][40] For switched linear systems, the work 20 has proposed a new designed approach of multiple-mode state observer by using ADT switching rule and multiple Lyapunov functions. Next, the work 39 has researched the influence of nonlinearities on the observer design, which considers a kind of nonlinear terms of incremental quadratic constraint.…”

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

“…An extended state observer for continuous and discrete systems is proposed in [15], considering that the input and the states are time-delayed. For nonlinear systems, different approaches have been presented to reconstruct the state vector of the system, making the error converge to zero if there are no uncertainties in the system or to a region close to the origin; some works on these systems are presented in [6,16,17].…”