Observers for a non-Lipschitz triangular form
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We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high gain observer in presence of nonlinearities verifying some H{ö}lder-like condition. Also, for the case when this H{ö}lder condition is not verified, we propose a novel cascaded high gain observer. Under slightly more restrictive assumptions, we prove the convergence of a homogeneous observer and of its cascaded version with the help of an explicit Lyapunov function.
Observability, high-gain observer, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 510, Lyapunov and storage functions, FOS: Mathematics, Nonlinear systems in control theory, Homogeneous observers, Mathematics - Optimization and Control, homogeneous observers, Triangular observable form, High-gain observer, triangular observable form, exact differentiators, explicit Lyapunov functions, Explicit Lyapunov functions, 620, Exact differentiators, Optimization and Control (math.OC), Finite-time observers, finite-time observers, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Control/observation systems governed by ordinary differential equations
Observability, high-gain observer, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 510, Lyapunov and storage functions, FOS: Mathematics, Nonlinear systems in control theory, Homogeneous observers, Mathematics - Optimization and Control, homogeneous observers, Triangular observable form, High-gain observer, triangular observable form, exact differentiators, explicit Lyapunov functions, Explicit Lyapunov functions, 620, Exact differentiators, Optimization and Control (math.OC), Finite-time observers, finite-time observers, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Control/observation systems governed by ordinary differential equations
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