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This paper presents a novel distributed control scheme in the general frequency domain framework, in order to not only achieve the stability but also improve consensus performance of the interconnected heterogeneous dynamical systems with time delays. The controller design procedure has four steps. Firstly, the feedback control diagram of the global system and local subsystem are both established...
In this paper, a two-degree-of-freedom (TDOF) control scheme for multi-input/multi-output (MIMO) systems with multiple time delays is proposed. First, a novel inversing decoupler design method based on the ideal decoupling is proposed for decoupling the MIMO system with multiple time delays into several same independent single-input/single output (SISO) systems. Then the H2 proportion-integral-derivative...
For a given arbitrary-order LTI (linear time-invariant) plant with time delay, we propose a directly parametric design method of the H∞ PID controller in an analytical manner. The design problem of the PID controllers satisfying the H∞ norm requirement is first cast into simultaneous stabilization problem of a family of complex quasipolynomials and the characteristic equation. Then, the linear programming...
This paper proposes an analytical design method for the linear multivariable non-square systems with multiple time delays and nonminimum-phase zeros. Based on Internal Model Control (IMC) theory, a multivariable non-square controller of full matrix form is designed for the non-square processes. In the controller design procedure, a simple method is presented to factor the transfer function matrix...
In this paper, an analytical two-degree-of-freedom control method is proposed for linear systems with time delay, including stable, unstable and nonminimum-phase plants of arbitrary order. The reference models for setpoint response and disturbance response are first presented, respectively, by virtue of dynamical characteristic of the control system and internal stability conditions. Then, the controllers...
To guarantee a deterministic transfer delay for cyclic control data in switched industrial Ethernet, the IEEE 802.1p queuing feature is introduced into Ethernet switches and source nodes, which gives real-time data the priority to access network resources. And simultaneously a leaky bucket regulator is also introduced into source nodes to constrain the traffic entering into the network, which prevent...
In this paper, we investigate the robust passivity problem for a class of uncertain singular systems with state delay. A sufficient condition for which the uncertain singular system with state delay is regular, impulse free and robust asymptotically stable for all admissible uncertainties is provided in terms of a linear matrix inequality. In addition, we also give procedures to design control law...
The Hinfin PID controller has been analytically developed on the basis of modern Hinfin optimal control theory and it can be tuned by only one control parameter in terms of given quantitative performance and robustness. This paper considers the problem of stabilizing a stable process with time delay using the Hinfin PID controller of this kind. Making use of the extended Hermite-Biehler theorem applicable...
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