This paper presents a new routing strategy based on the minimization of the worst-case queuing length. An H∞ optimal control scheme is proposed which can maintain a robust performance of the routing strategy in the presence of multiple and unknown time-varying network delays. First, the routing problem is formulated as an H∞ optimal control problem for a time delayed system. Towards this end, t...

This paper is concerned with the solution of state feedback H∞ control for a singleinput-single-output plant with parameters, and an algebraic approach that utilizes the so-called ‘sum of roots’ is developed. A method is firstly devised that computes a polynomial which contains the optimal cost as one of its roots. Furthermore it is shown that an optimal/suboptimal static feedback gain can be e...

This paper is concerned with the H∞ state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H∞ state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain perfo...

The present paper addresses the mixed H2/H∞ norm analysis and feedback control design problem for structural systems with collocated actuators and sensors. The mixed norm formulation provides a trade-off measure of a system performance and robustness in the presence of uncertainties in the system model. First, we develop an explicit upper bound expression for the mixed H2/H∞ norm of collocated ...

The objective of the paper is to propose an approach to decentralized networked quantized state feedback H∞ controller design for a class of complex symmetric composite continuous-time systems. The effect of data-packet dropouts and communication delays between the plant and the local controller as well as quantizers design are included in the design of asymptotically stabilizing controller and...

This paper considers the problem of a nonlinear H∞ design for a laboratory twin rotor system. This mechanical device features a highly nonlinear strongly coupled dynamics, which constitutes a challenge for many classical linear control techniques. The approach presented in this paper considers a nonlinear H∞ disturbance rejection procedure on the reduced dynamics of the rotors, including integr...