Displaying similar documents to “Approximation of control laws with distributed delays: a necessary condition for stability”

Nonlinear bounded control for time-delay systems

Germain Garcia, Sophie Tarbouriech (2001)

Kybernetika

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A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an e -parameterized family of algebraic Riccati equations or on an e -parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain...

Saturating stiffness control of robot manipulators with bounded inputs

María del Carmen Rodríguez-Liñán, Marco Mendoza, Isela Bonilla, César A. Chávez-Olivares (2017)

International Journal of Applied Mathematics and Computer Science

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A saturating stiffness control scheme for robot manipulators with bounded torque inputs is proposed. The control law is assumed to be a PD-type controller, and the corresponding Lyapunov stability analysis of the closed-loop equilibrium point is presented. The interaction between the robot manipulator and the environment is modeled as spring-like contact forces. The proper behavior of the closed-loop system is validated using a three degree-of-freedom robotic arm.

Decentralized control of interconnected linear systems with delayed states

Carlos E. de Souza (2001)

Kybernetika

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This paper addresses the problems of stability analysis and decentralized control of interconnected linear systems with constant time-delays in the state of each subsystems as well as in the interconnections. We develop delay- dependent methods of stability analysis and decentralized stabilization via linear memoryless state-feedback. The proposed methods are given in terms of linear matrix inequalities. Extensions of the decentralized stabilization result to more complex control problems,...

Non-fragile controllers for a class of time-delay nonlinear systems

Lubomír Bakule, Manuel de la Sen (2009)

Kybernetika

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The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities...