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The effectiveness of this method and its advantages over other existing ones are proven theoretically and illustrated by means of various examples. The book will give readers an overview of the latest advances in this active research area and equip them with a pioneering method for studying time-delay systems. It will be of significant interest to researchers and practitioners engaged in automatic control engineering.

Passar bra ihop. Ladda ned. Information Technology in Healthcare Min Wu. Recensioner i media. Bloggat om Stability Analysis and Robust Control of The interconnections with time-varying time delay considered are high order, and the gains are not known. A class of decentralized adaptive feedback controllers are proposed, which can render the resulting closed-loop error system uniformly ultimately bounded stable.

Robust Control for Nonlinear Time-Delay Systems

A numerical example is given to show the feasibility and effectiveness of the proposed design techniques. The problem of robust adaptive stabilization is considered for a class of time-varying nonlinear large-scale systems subject to multiple time-varying delays in the interconnections. The interconnections satisfy the match condition and are bounded by nonlinear functions that may contain a high-order polynomial with time delay. Without the knowledge of these bounds, we present adaptive state feedback controllers that are continuous and independent of time delay.

Based on the Lyapunov stability theorem, we prove that the controllers can render the closed-loop systems uniformly ultimately bounded stable. In addition, the results are applied to stabilize a class of interconnected systems whose nominal systems are linear. The robust control problem for a class of uncertain time-delay systems is investigated. The systems include multiple time delays and uncertain nonlinear functions. According to the input matrix, the system is decomposed into two subsystems.

The linear virtual control law is designed for the first subsystem by solving the LMI.

Robust Control for Nonlinear Time-Delay Systems | promnolise.ga

Then, by constructing a proper Lyapunov—Krasovskii functional, the memoryless state feedback controller is developed and the closed-loop system is proved to be asymptotically stable. Simulations are presented to verify the effectiveness of the proposed method. Decentralized exponential stabilization problem is investigated for a class of large-scale systems with time-varying delays.

The considered systems have mismatches in time-delay functions. A state coordinate transformation is first employed to change the original system into a cascade system.

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Then, the virtual linear state feedback controller is developed to stabilize the first subsystem. Based on the virtual controller, a memoryless state feedback controller is constructed for the second subsystem.


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By choosing new Lyapunov—Krasovskii functional, the designed decentralized continuous adaptive controller makes the solutions of the closed-loop system exponentially convergent to a ball, which can be rendered arbitrary small by adjusting design parameters. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed design techniques.

The robust control problem is investigated for a class of uncertain nonlinear time-delay systems. Via the Takagi—Sugeno T-S fuzzification, the T-S fuzzy systems are obtained with each local model in the form of time-delay systems with uncertain nonlinear functions.


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The mismatched nonlinear functions satisfy the Lipschitz condition, while the matched parts are bounded by nonlinear functions with unknown coefficients. Based on the input matrix, the system is decomposed into two cascade subsystems. The virtual controller is designed for the first subsystem, and then, a memoryless adaptive controller is presented.

By employing a new Lyapunov—Krasovskii functional, we show that the resulting closed-loop system is exponentially stable and the solutions are uniformly ultimately bounded. Finally, simulation examples are given to show the effectiveness of the proposed methods. This chapter focuses on the tracking control problem for a class of nonlinear system with time delay and dead-zone input. The non-symmetric dead-zone input case is considered without the knowledge of the dead-zone parameters. The time-delay uncertainties are bounded by a nonlinear function with unknown coefficients.

By constructing a novel Lyapunov functional, we design a simple and smooth adaptive state feedback controller.

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It is shown that the solution of the resulting closed-loop error system converges to an adjustable region exponentially. Finally, numerical examples are included to show the effectiveness of the theoretical results. The robust control problem has been investigated for a class of large-scale nonlinear networked control systems with nonlinear sector input. The time delays have been inherent for the systems because of the information transmission through the communication networks.

By T-S fuzzyfication for each subsystem, the interconnected T-S fuzzy subsystems are obtained.

Time Delay Systems Analysis and Design with MATLAB and Simulink

When the bound parameters are known, the decentralized memoryless state feedback controller is constructed. When the parameters of bound functions are not available, the adaptive method is used, and the memoryless decentralized adaptive state feedback controller is developed. By the construction of the proper Lyapunov—Krasovskii functional, the exponential stabilization of the resultant closed-loop system is proved for the both cases.

Finally, the theoretic results are applied to the decentralized controller design of networked interconnected chemical reactor systems. The robust control problem is investigated for nonlinear time-delay systems with the form of triangular structure. The uncertain delay disturbances are bounded by nonlinear functions with unknown coefficients.

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Via the backstepping method, the state feedback time-delay-independent controller is constructed with the help of Razumikhin lemma. Based on Lyapunov stability theory, it is showed that the resulting closed-loop system is UUB stable. The state feedback control problem is addressed for a class of nonlinear time-delay systems.

The time delays appear in all state variables of the nonlinear system, which brings a challenging issue for controller design. With an introduced new Lyapunov—Krasovskii functional and the help of backstepping method, we develop memoryless state feedback controller, which does not need the precise knowledge of time delay. It is rigorously proved that the closed-loop system is asymptotically stable.