Quantized stabilization of strict-feedback nonlinear systems based on ISS cyclic-small-gain theorem

DOI10.1007/s00498-012-0079-xzbMath1238.93082OpenAlexW2046270369MaRDI QIDQ422403

Zhong-Ping Jiang, Tengfei Liu, David John Hill

Publication date: 16 May 2012

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-012-0079-x

zbMATH Keywords

set-valued mapsstrict-feedback nonlinear systemdynamically perturbed strict-feedback formglobal practical stabilizationinput-to-state stable subsystemslarge-scale systemquantized nonlinear control design

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Control/observation systems governed by ordinary differential equations (93C15) Large-scale systems (93A15)

Related Items (7)

Robust adaptive output feedback control for uncertain nonlinear systems with quantized input ⋮ A new adaptive control scheme for uncertain nonlinear systems with quantized input signal ⋮ Adaptive tracking control for quantized nonlinear systems via backstepping design technique ⋮ Adaptive output feedback regulation for a class of nonlinear systems subject to input and output quantization ⋮ Output feedback control for uncertain nonlinear systems with input quantization ⋮ Adaptive quantized fuzzy control of stochastic nonlinear systems with actuator dead-zone ⋮ Robust control for a class of uncertain nonlinear systems with input quantization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sector bound approach to feedback control of nonlinear systems with state quantization
• Stability and stabilization of nonlinear systems.
• Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks
• Stabilization by output feedback for systems with ISS inverse dynamics
• A combined backstepping and small-gain approach to adaptive output feedback control
• Hybrid feedback stabilization of systems with quantized signals
• Switching in systems and control
• Asymptotic behavior of dynamical and control systems under perturbation and discretization
• Small-gain theorem for ISS systems and applications
• A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
• Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
• Robust stabilization of nonlinear systems by quantized and ternary control
• Input-to-state stability and interconnections of discontinuous dynamical systems
• An ISS small gain theorem for general networks
• Discontinuous stabilization of nonlinear systems: quantized and switching controls
• Quantized feedback stabilization of linear systems
• Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
• A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
• Quantization and overflow effects in digital implementations of linear dynamic controllers
• A Lyapunov characterization of robust stabilization
• Stabilization of linear systems with limited information
• Tools for Semiglobal Stabilization by Partial State and Output Feedback
• A Unified Framework for Design and Analysis of Networked and Quantized Control Systems
• Nonlinear norm-observability notions and stability of switched systems
• n-bit stabilization of n-dimensional nonlinear systems in feedforward form
• Stabilization of nonlinear systems with limited information feedback
• The sector bound approach to quantized feedback control
• Quantization, Time Delays, and Nonlinear Stabilization
• Input-to-State Stabilization of Linear Systems With Quantized State Measurements
• Input to State Stabilizing Controller for Systems With Coarse Quantization
• Stabilizing a linear system with quantized state feedback
• Robust nonlinear control design. State-space and Lyapunov techniques

This page was built for publication: Quantized stabilization of strict-feedback nonlinear systems based on ISS cyclic-small-gain theorem