Homogeneous Approximation, Recursive Observer Design, and Output Feedback

Abstract

We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to make it valid both at the origin and at infinity (homogeneity in the bi-limit). Exploiting this extension, we give several results concerning stability and robustness for a homogeneous in the bi-limit vector field. The second tool is a new recursive observer design procedure for a chain of integrator. Combining these two tools, we propose a new global asymptotic stabilization result by output feedback for feedback and feedforward systems.

Cited by in corpus (16)

• Enhancing the settling time estimation of a class of fixed-time stable systems
• Robust exact differentiators with predefined convergence time
• On the design of new classes of fixed-time stable systems with predefined upper bound for the settling time
• On the design of non-autonomous fixed-time controllers with a predefined upper bound of the settling time
• A class of robust consensus algorithms with predefined-time convergence under switching topologies
• Designing predefined-time differentiators with bounded time-varying gains
• On predefined-time consensus protocols for dynamic networks
• Model Identification and Adaptive State Observation for a Class of Nonlinear Systems
• Approximate Nonlinear Regulation via Identification-Based Adaptive Internal Models
• Observers for a non-Lipschitz triangular form
• On finite-time and fixed-time consensus algorithms for dynamic networks switching among disconnected digraphs
• Autonomous and non-autonomous fixed-time leader-follower consensus for second-order multi-agent systems
• Earthquake Control: An Emerging Application for Robust Control. Theory and Experimental Tests
• Non-linear Gradient Algorithm for Parameter Estimation: Extended version
• Exact output tracking in prescribed finite time via funnel control
• Designing controllers with predefined convergence-time bound using bounded time-varying gains