Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control

DOI10.1016/j.sysconle.2005.09.014zbMath1100.93032OpenAlexW2133289369MaRDI QIDQ2433400

Nael H. El-Farra, Panagiotis D. Christofides, Prashant Mhaskar

Publication date: 27 October 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2005.09.014

zbMATH Keywords

state constraintsinput constraintsstability regionmodel predictive controlsoft constraintsfeasibility regionbounded Lyapunov-based control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items

Forecast-triggered model predictive control of constrained nonlinear processes with control actuator faults, A nonlinear systems framework for cyberattack prevention for chemical process control systems, Economic MPC with a contractive constraint for nonlinear systems, Data driven economic model predictive control, Modelling and optimal control for a fed-batch fermentation process, Finite-time stabilization of a class of output-constrained nonlinear systems, Economic model predictive control with extended horizon, Immersion and invariance stabilization for a class of nonlinear switched systems with average dwell time, Robust control for state constrained systems based on composite barrier Lyapunov functions, Model predictive control for nonlinear systems with time‐varying dynamics and guaranteed Lyapunov stability, Command filter‐based adaptive prescribed performance tracking control for uncertain pure‐feedback nonlinear systems with full‐state time‐varying constraints, Economic Lyapunov‐based model predictive control with event‐triggered parametric identification, Lyapunov-based model predictive control of stochastic nonlinear systems, Adaptive control Lyapunov function based model predictive control for continuous nonlinear systems, Finite time state tracking control based on prescribed performance for a class of constrained nonlinear systems, Data-driven feedback stabilisation of nonlinear systems: Koopman-based model predictive control, Control Lyapunov–Barrier function based model predictive control for stochastic nonlinear affine systems, Modelling and optimization for a switched system in microbial fed-batch culture, NonlinearH∞-control under unilateral constraints, Isolation and handling of sensor faults in nonlinear systems, A Q-learning predictive control scheme with guaranteed stability, Pathway identification using parallel optimization for a nonlinear hybrid system in batch culture, Parameter identification of nonlinear delayed dynamical system in microbial fermentation based on biological robustness, A two-tier control architecture for nonlinear process systems with continuous/asynchronous feedback, Constrained control Lyapunov function-based control of nonlinear systems, A safe-parking and safe-switching framework for fault-tolerant control of switched nonlinear systems, Lyapunov‐based model predictive control of nonlinear systems subject to time‐varying measurement delays, Viable immersion and invariance control for a class of nonlinear systems and its application to aero-engines, Data-driven approximated optimal control for chemical processes with state and input constraints, Distributed model predictive control of nonlinear systems subject to asynchronous and delayed measurements, Control Lyapunov-barrier function-based model predictive control of nonlinear systems, Nonlinear \(\mathcal{L}_2\)-gain analysis of hybrid systems in the presence of sliding modes and impacts, Computation, approximation and stability of explicit feedback min-max nonlinear model predictive control, The design of predictive control with characterized set of initial condition for a constrained switched nonlinear system, Q-learning-based model predictive variable impedance control for physical human-robot collaboration, Global robust stabilisation of a class of uncertain switched nonlinear systems with dwell time specifications, Constrained control Lyapunov function based model predictive control design, A robustly stabilizing model predictive control strategy of stable and unstable processes

Cites Work

• Unnamed Item
• A universal formula for stabilization with bounded controls
• Uniting bounded control and MPC for stabilization of constrained linear systems.
• Robust hybrid predictive control of nonlinear systems
• Constrained model predictive control: Stability and optimality
• Constructive nonlinear control
• On finite gain \(\mathcal L_p\) stability of nonlinear sampled-data systems
• Output feedback control of switched nonlinear systems using multiple Lyapunov functions
• Control of nonlinear and hybrid process systems. Design for uncertainty constraints and time-delays.
• Stabilization with relaxed controls
• Feedback linearization of sampled-data systems
• Semiclassical Dispersion Theory of Interband Magneto-Optical Effects
• The stability of constrained receding horizon control
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Hybrid predictive control of nonlinear systems: method and applications to chemical processes
• Suboptimal model predictive control (feasibility implies stability)
• A receding horizon generalization of pointwise min-norm controllers
• Contractive model predictive control for constrained nonlinear systems
• Stability of model predictive control with mixed constraints
• Predictive control of switched nonlinear systems with scheduled mode transitions
• Constructive nonlinear control: a historical perspective
• A functional equations approach to nonlinear discrete-time feedback stabilization through pole-placement
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations