Based on the open design method, the discrete controller is designed. In order to optimize the design of discrete controller, Visual C++ language is adopted to edit the control program, and simplex optimization methed is utilized to tune the PID parameters, making it possess the general meaning.
Hybrid dynamical systems originate from the application of discrete event systems to monitoring continuous state systems. Using abstract languages method to describe continuous state systems, this paper studies the consistency of discrete event specification to continuous state systems. Synthesis of discrete controller is also discussed briefly on the basis of input output relationship.
The optimal control of double inverted pendulum system is that State variables are reconstructed by optimal control theory, optimal feedback discrete controller is set up. The matrix Q, R of Riccati equation and discrete time are rationally selected, discrete reduced observer is designed to obtain optimal feedback control matrix.
The basis of the selection is:1 ) a linear time - discrete controller, 2 ) a limited range of the control variable, 3)an initial deviation which is given in accordance with the practical requirement to the control system.
In this paper, the research on Hybrid Dynamical Systems has briefly been reviewed. On the basis of the Input/Output(I/O) Discrete Event Process model, a synthesis method of supervisor for dynamical systems is presented.
A method for the design of decentralised controller for interconnected linear systems with structured uncertainties conditions is presented,by choosing the state and control weighting matrices that construct the Lyapunov function for guaranteeing closed loop stability matrices are appropriately choosen,a robust decentralised controller is obtained.
In polynomial form, necessary and sufficient conditions are given that provide for existence of a discrete controller stabilizing a multivariable sampled-data system.
A notion of radius of the stable state of a closed-loop system was introduced, and the problem of using the full state vector to design a discrete controller providing the desired radius was formulated.
It is found that a closed-loop simulation using a non-linear finite element model of this robot is very time-consuming due to the small time step of the discrete controller.
A method for finding a discrete controller with fixed structure and order that minimizes a continuous quadratic loss function is presented.
Another sampled-data control technique is to describe the process model in discrete time and then design a discrete controller from this model.
A procedure for the selection of sampling periods and weighting coefficients for the time-discrete optimal control of a time-continuous process is presented. The basis of the selection is:1 ) a linear time - discrete controller, 2 ) a limited range of the control variable, 3)an initial deviation which is given in accordance with the practical requirement to the control system. The performance index of the system is expressed in a time --continuous, quadratic, deviation loss function and a similar control-loss...
A procedure for the selection of sampling periods and weighting coefficients for the time-discrete optimal control of a time-continuous process is presented. The basis of the selection is:1 ) a linear time - discrete controller, 2 ) a limited range of the control variable, 3)an initial deviation which is given in accordance with the practical requirement to the control system. The performance index of the system is expressed in a time --continuous, quadratic, deviation loss function and a similar control-loss function.Controllers parameters are computed by standard LQ -methods for different sampling periods. The control weighting coefficient in the loss function is chosen so that full use of the control range is obtained, given the initial deviation. The final sampling periods and controller parameters are selected as a compromise between the deviation loss and the control loss. The procedure is especially useful when the longest possible sampling period is required.
In this paper, the research on Hybrid Dynamical Systems has briefly been reviewed. On the basis of the Input/Output(I/O) Discrete Event Process model, a synthesis method of supervisor for dynamical systems is presented.
Hybrid dynamical system originated from the application of discrete event systems to supervising continuous state systems is discussed. The continuous state system is described by using abstract language method, and the discrete event plant model is attained by consistent partition of the space of continuous state system. Synthesis of discrete controller is given based on the input/output relationship.