2012
DOI: 10.1016/j.cnsns.2012.05.027
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Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations

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Cited by 146 publications
(120 citation statements)
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“…Define the state estimation error ( ) = ( ) −̂( ), and then it follows from (1)- (7) that [13][14][15][16][17] …”
Section: Design Of Gain Matrixmentioning
confidence: 99%
“…Define the state estimation error ( ) = ( ) −̂( ), and then it follows from (1)- (7) that [13][14][15][16][17] …”
Section: Design Of Gain Matrixmentioning
confidence: 99%
“…So, a lot of endeavors are made in order to come up with solutions for these problems. And for the solution of these problems generally Lyapunov stability theory, Lyapunov approach and functions are used [31,32,42]. In these problems pointed out above, the algebraic Riccati matrix equation and Lyapunov matrix equation have an important role and we encounter them very commonly.…”
Section: Introductionmentioning
confidence: 99%
“…Consequently, adding the left sides of equations (16)- (19) to the right side of equation (11) gives …”
Section: Observer-based Stabilization Designmentioning
confidence: 99%
“…Abbaszadeh and Marquez 17 further studied the state estimation problem of one-sided Lipschitz systems by introducing an additional restrict called quadratically inner-bounded condition. For such systems, less conservative designs on both full-order and reduced-order observers have been considered by Zhang et al 18,19 where the Riccati equation and the LMI approaches were, respectively, introduced. In the discrete-time case, the state estimation issue was investigated in Zhang et al 20 Moreover, the observer design for such systems with unknown inputs was addressed in Zhang et al 21 However, it should be noted that most of the above-mentioned references are focused on the observer deign issue.…”
Section: Introductionmentioning
confidence: 99%