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An optimal disturbance rejection controller design method is put forward analytically for the synchronised output regulation of time-delayed multi-agent systems (MAS). All kinds of linear MAS can be described by a novel block diagram based on transfer functions in a unified framework. For each subsystem without intercommunication, the optimal output, input and balancing output–input load disturbance...
A new analytical non-diagonal PID controller design method is proposed for industrial and chemical two-by-two processes with time delays. By extending the concept of coupling matrix for uncertain multivariable delay-free processes to TITO processes with time delays, the relation between the non-diagonal and the diagonal elements of decoupling controller is determined and the controller is derived...
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...
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...
Inverse response processes are difficult to be controlled due to presence of right half plant (RHP) zeros. In this paper, firstly the RHP zeros are approximated to the form of dead time in terms of Pade approximation theory. Thus, the controlled processes can be regarded as general stable processes plus dead time without RHP zeros. Then based on the internal model control (IMC) structure, an analytical...
On the basis of state feedback of measurable variables, a predictive functional control algorithm for multiple-input-multiple-output (MIMO) systems is proposed in this paper. A certain degree of robustness of the closed loop system based on the Lyapunov method is achieved by solving a quadratic inequality, which is helpful to the algorithm design and its applications. Moreover, the algorithm design...
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