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Backsteppingregeling×Feedback Linearization×H-infinity Regeling×Sliding Mode Control×
VakgebiedRegeltechniekRegeltechniekRegeltechniekRegeltechniek
FamilieMachine learningMachine learningMachine learningMachine learning
Jaar van ontstaan1995198319811977
GrondleggerMiroslav KrsticAlberto IsidoriGeorge ZamesVadim Utkin
Typealgorithmalgorithmalgorithmalgorithm
Oorspronkelijke bronKrstic, M., Kanellakopoulos, I., & Kokotovic, P. (1995). Nonlinear and Adaptive Control Design. John Wiley & Sons. link ↗Isidori, A. (1995). Nonlinear Control Systems (3rd ed.). Springer-Verlag. DOI ↗Zames, G. (1981). Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses. IEEE Transactions on Automatic Control, 26(2), 301-320. DOI ↗Utkin, V. I. (1977). Variable structure systems with sliding modes. IEEE Transactions on Automatic Control, 22(2), 212-222. DOI ↗
AliassenIntegrator Backstepping, Recursive Lyapunov DesignExact Linearization, Nonlinear Feedback Control, Input-Output LinearizationH∞ Control, Robust Control, Minimax ControlSMC, Variable Structure Control, Robust Control with Discontinuities
Verwant3444
SamenvattingBackstepping is a systematic nonlinear control design method that decomposes a complex nonlinear system into simpler subsystems and designs a controller recursively, layer by layer, ensuring stability at each step. Developed by Krstic, Kanellakopoulos, and Kokotovic, backstepping enables control of nonlinear systems without requiring exact model knowledge or full state linearization, combining flexibility with guaranteed stability.Feedback Linearization is a nonlinear control technique that uses a nonlinear state-feedback transformation to convert a nonlinear system into a linear one, enabling the use of standard linear control methods. Developed by Isidori, Sontag, and others in the 1980s, feedback linearization is conceptually elegant and powerful: if the system satisfies certain structural conditions (relative degree, decoupling matrix rank), the nonlinearities can be exactly cancelled through feedback, reducing the problem to linear design.H-infinity (H∞) control is a robust control method that minimizes the worst-case gain from disturbances to controlled outputs, formulated as a minimax optimization problem. Pioneered by Zames in the early 1980s, H∞ control provides a principled way to design feedback controllers that tolerate model uncertainty, unmodeled dynamics, and disturbances while maintaining stability and performance, making it essential for applications requiring guaranteed robustness.Sliding Mode Control (SMC) is a robust nonlinear control technique that forces a system to follow a predetermined surface (the sliding surface) in state space by using discontinuous (bang-bang or high-frequency switching) control inputs. Developed by Utkin and further advanced by Slotine, SMC is remarkably insensitive to parameter variations and disturbances—once the system reaches the sliding surface, its behavior is determined solely by the surface geometry, not by uncertainty. This makes SMC powerful for nonlinear systems, manipulators, and uncertain systems where robustness is paramount.
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ScholarGateMethoden vergelijken: Backstepping Control · Feedback Linearization · H-infinity Control · Sliding Mode Control. Geraadpleegd op 2026-06-17 via https://scholargate.app/nl/compare