Nonlinear and locally optimal controllers design for input affine locally controllable systems

DOI10.1080/00207179.2011.641159zbMath1282.93221OpenAlexW1987776210MaRDI QIDQ5745565

Vincent Andrieu, Madiha Nadri, Mariem Sahnoun

Publication date: 30 January 2014

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2011.641159

zbMATH Keywords

optimal controlLMInonlinear controllersLyapunov stabilisation

Mathematics Subject Classification ID

Adaptive or robust stabilization (93D21) Linear-quadratic optimal control problems (49N10) Control problems involving ordinary differential equations (34H05)

Related Items (3)

Locally optimal controllers and globally inverse optimal controllers ⋮ GD-aided IOL (input–output linearisation) controller for handling affine-form nonlinear system with loose condition on relative degree ⋮ Reinforcement learning for adaptive optimal control of unknown continuous-time nonlinear systems with input constraints

Uses Software

• YALMIP

Cites Work

• Uniting global and local controllers under acting disturbances
• Constructive Lyapunov stabilization of nonlinear cascade systems
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Backstepping design with local optimality matching
• Uniting Two Control Lyapunov Functions for Affine Systems
• Homogeneous Approximation, Recursive Observer Design, and Output Feedback
• Adding integrations, saturated controls, and stabilization for feedforward systems
• Constructive nonlinear control: a historical perspective
• Uniting local and global controllers with robustness to vanishing noise

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