For multi-input multi-output networked control systems with multiple independent sensors and actuators, thermostatic element a continuous-time model of a class of networked control systems with multiple time delays is established. By constructing a new Lyapunov function, a stability criterion with low conservativeness is given. Based on the stability criterion, the design method of output feedback controller is given. The numerical simulation results show the effectiveness of the method. Networked control system (NCS), also known as network-based control system and networked control system, is a fully networked and distributed control system. It is a feedback control system with closed-loop through network. Nowadays, the scale of control system is getting larger and larger, and the complexity of control system is getting higher and higher. The physical equipment and function of control system are also expanding constantly.
The traditional point-to-point direct connection method has reached the limit of its own application, and can not meet the growing demand for system functions. For example, in a large factory workshop, units and production lines are often distributed throughout the factory. All equipment as a whole can be regarded as a decentralized control system of controlled objects. If the traditional point-to-point control method is adopted, a large number of dedicated lines need to be connected, which consumes enormous power and hydraulic resources. Obviously, the cost of running such a factory every day is expensive. With the continuous development of electronic technology and computer technology, many network transmission methods have been applied in the field of control. The networked control system came into being as the times require.
As a brand-new subject, network control system is a cross-integration of network communication technology and automation control technology. It has its particularity and complexity.
The main content of the research in the field of control is to study the control strategy and control technology of the system based on a certain quality of service control network in order to improve the performance of the control system.
The main content of the research in the field of communication is to design appropriate communication protocols and scheduling methods in order to improve the quality of service of the network itself.
The future development trend is the integrated design of control and communication. Research on network control theory and control method has important academic value and considerable economic benefits.
In recent years, the research of networked control systems has attracted wide attention. Compared with the traditional point-to-point interconnection control system, the main advantages of the network control system are convenient network wiring, greatly reduced number of connection lines, easy expansion, low cost, easy installation, fault repair and maintenance, strong anti-interference, high reliability of data transmission, and the realization of information resources sharing. However, it is inevitable to introduce the network transmission delay into the system, which will reduce the performance of the control system and even lead to system instability, thus making the analysis and design of the network control system more complex. Network delay is a prominent problem in system design and implementation.
In this paper, the delay-dependent stability of a class of MIMO networked control systems is studied. Literature Yang studies this kind of problem. Firstly, a new model of MIMO networked control system is established. By constructing a new Lyapunov function, introducing a suitable free weight matrix, using linear matrix inequality and stability theory, the conditions of asymptotic stability of the system depending on the size of time delay are obtained.
Based on the obtained stability conditions, a design method of state output feedback controller is presented.
Consider a continuous MIMO network control system, which has multiple independent sensors and controllers. The state equation of the linear time-invariant controlled object can be expressed as the state vector, input vector and output vector of the controlled object, respectively, n is its corresponding dimension; Ap < Rn * n, Bp < Rn * n, C < Rn * n is a constant coefficient system matrix. UC (t) = Rn, YC (t) = Rn are the input and output vectors of the controller respectively, and K is the control gain matrix.
From Figure 1, we can see that it is a zero vector, the first behavior KiCi of the matrix Gi < n * n, and the rest of the rows are zero vectors.
In this section, the stability of MIMO networked control system (7) is analyzed by constructing a new Lyapunov function. In order to verify the effectiveness of this method, examples and methods in the literature are used to verify it. Fig. 2 is the output feedback response curve of the second-order closed-loop system. Through this image, the original system achieves better stabilization under the feedback of the designed controller. In this paper, the stability analysis and controller design of MIMO networked control systems with multiple time delays are studied. By constructing a new Laypunov function and using linear matrix inequalities, the criterion of system stability and the design method of controller are given. Compared with the literature, the conservativeness of this method is lower and the range of time delay is larger. Compared with the literature, the method of controller design is given in this paper.
The simulation results show the effectiveness of this method.