Prescribed-Time Observers for Linear Systems in Observer Canonical Form

2019/01/03 by John Holloway, J. S. Holloway, Miroslav Krstić +1 · 7 citations
Engineering · #Adaptive Control of Nonlinear Systems #Stability and Control of Uncertain Systems #Advanced Control Systems Optimization

paper · doi:10.1109/tac.2018.2890751

Abstract

For linear systems in the observer canonical form, we introduce a state observer with time-varying gains that tend to infinity as time approaches a prescribed convergence time. The observer is shown to exhibit fixed-time stability with an arbitrary convergence time, which is prescribed by the user irrespective of initial conditions. The output estimation error injection terms are also shown to remain uniformly bounded and converge to zero at the prescribed time.

Citations

• Higher-order sliding modes, differentiation and output-feedback control
• Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems
• Robust exact differentiation via sliding mode technique

Cited by

• Prescribed-Time Output-Feedback Control of Stochastic Nonlinear Systems
• Stochastic Nonlinear Prescribed-Time Stabilization and Inverse Optimality
• Event-Triggered Control for Nonlinear Uncertain Systems via a Prescribed-Time Approach
• Adaptive Prescribed Finite Time Control for Strict-Feedback Systems
• On hyperexponential stabilization of a chain of integrators in continuous and discrete time subject to unmatched perturbations
• Prescribed-Time Observer Is Naturally Robust Against Disturbances and Uncertainties
• Fixed-Time Observer Based Prescribed-Time Containment Control of Unmanned Underwater Vehicles with Faults and Uncertainties. [europepmc]

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