Nonlinear Polytopic Systems With Predefined Time Convergence
Sunil Kumar, Sandeep Kumar Soni, Anil Kumar Pal, Shyam Kamal, Xiaogang Xiong
Abstract
This brief deals with predefined time control for nonlinear polytopic systems. With such a control, the settling time function is uniform with respect to initial conditions of the system and can be chosen by the designer. By using the control Lyapunov function, a sufficient condition is investigated for the existence of a continuous and predefined time stable state feedback controller. The obtained sufficient condition is also necessary, such that the closed-loop nonlinear polytopic system has a robust control Lyapunov function (RCLF) for all possible parametric uncertainties. Finally, a practical system shows the efficacy of the proposed approach.
Topics & Concepts
Nonlinear systemConvergence (economics)Control theory (sociology)Computer scienceMathematicsApplied mathematicsMathematical optimizationArtificial intelligencePhysicsEconomicsEconomic growthControl (management)Quantum mechanicsAdvanced Differential Equations and Dynamical SystemsMathematical and Theoretical Epidemiology and Ecology ModelsNeural Networks Stability and Synchronization