Separation results for the stabilization of nonlinear systems using different high-gain observer designs ☆

By A. N. Atassi, Hassan K. Khalil. 2000

258 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/cfd532860aeb321cd29960f37deb58ca93ccf6bf

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Citations in the corpus

Homogeneity approach to high-order sliding mode design (2005, background): “Asymptotic features of the known high-order sliding mode controllers (Levant, 1993, 2001, 2003a; Bartolini et al., 2003) are easily obtained from Theorem 2. Any rsliding homogeneous controller can be complemented by an (r-1)th order differentiator ( Atassi & Khalil, 2000; Bartolini, Pisano, & Usai, ”
Generalized homogeneous quasi‐continuous controllers (2008, methodology): “That information can be obtained in real time by means of an (r-1)th order differentiator [19, 10, 26-29] producing an output-feedback controller.”
State and Output Feedback Nonlinear Model Predictive Control: An Overview (2003, result): “In [43, 44] it was shown that based on the results of [ 5 , 85], semi-global practical stability results could be obtained for instantaneous NMPC based on a special class of continuous-time models, using high gain observers for state estimation.”
Technical communique: On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties (2013, unknown): “This is why a state observer is required and included in the feedback control (Atassi & Khalil, 2000; Hendricks & Luther, 2001; Karafyllis & Kravaris, 2005; Pagilla, King, Dreinhoefer, & Garimella, 2000; Song & Hedrick, 2004).”
Technical Communique: Stabilization of a class of nonlinear systems by adaptive output feedback (2005, background): “The robust property of high-gain output feedback is analytically addressed by Atassi and Khalil (1999), Atassi and Khalil (2000) , and Khalil (2002).”
Uniform Robust Exact Differentiator (2010, background): “High-Gain observers have been also frequently used as real-time differentiators, and applied in output-feedback control, providing for some separation results in nonlinear control schemes [1], [8].”
High-gain observers in nonlinear feedback control (2009, background): “At Michigan State University, Khalil and coworkers have developed the high-gain observer theory in a number of directions, covering stabilization [26], [50], sliding mode control [72], [73], regulation (or servomechanisms) [41], [42], [45], [46], [64], [65], [85], [86], [89], adaptive control [8], [”
Sliding-Mode-Based Differentiation and Its Application (2017, background): “Other popular approaches (Atassi and Khalil (2000); Fliess et al.”
Singular perturbations and time scales in control theory and applications: An overview (2002, background): “[23] A.”
Second-order sliding-mode observer for mechanical systems (2005, background): “…L. Fridman are with the Department of Control, Division of Electrical Engineering, Engineering Faculty, National Autonomous University of Mexico, Ciudad Universitaria, Universidad Nacional Autonoma de Mexico, 04510 Mexico City, Mexico (e-mail: jadavila@servidor.unam.mx; lfridman@servidor.unam.mx).”