A Finite-Time Stabilization Method with Network-Induced Bounded Time Delay and Data Loss
A data loss and time delay technology, which is applied to instruments, adaptive control, control/regulation systems, etc., can solve the problems of limited time stabilization method control performance impact, cannot actively compensate for bounded time delay and data loss, etc., to achieve compensation Network-induced bounded delay and data loss, avoid network-induced delay and data loss, easy to solve and realize the effect
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specific Embodiment approach 1
[0017] Specific implementation mode 1. Combination figure 1 Describe this embodiment, a finite-time stabilization method with network-induced bounded time lag and data loss described in this embodiment, the specific steps of the method are:
[0018] Step 1. Establishing a linear dynamic model of a networked control system with network-induced bounded time-delay and data loss;
[0019] Step 2, establishing a state prediction model of the linear dynamic model of the networked control system in step 1;
[0020] Step 3, design a state feedback controller according to the state prediction model of the linear dynamic model of the networked control system established in step 2;
[0021] Step 4. Obtain the closed-loop system equation of the networked control system according to the state feedback controller obtained in step 3;
[0022] Step 5, using the closed-loop system of the networked control system to obtain the state estimation gain matrix L and the state feedback gain matrix ...
specific Embodiment approach 2
[0024] Specific embodiment 2. The difference between this embodiment and specific embodiment 1 is that the specific process of the step 1 is:
[0025] A linear dynamic model of a networked control system with network-induced bounded time-delay and data loss is established, the state-space form of the linear dynamic model is:
[0026]
[0027] Among them: x(t) is the state variable of the linear dynamic model of the networked control system at time t, x(t+1) is the state variable of the linear dynamic model of the networked control system at time t+1, u(t) is the control input function of the controller at time t, y(t) is the measurement output function of the sensor at time t, A is the system matrix, B is the input matrix, and C is the output matrix. The matrix pair (A,C) is detectable;
[0028] The sensor and the controller are connected through the network, and the actuator and the controller are also connected through the network, and the data transmitted through the ne...
specific Embodiment approach 3
[0029] Specific implementation mode three, the difference between this implementation mode and specific implementation mode two is that the specific process of said step two is:
[0030] Establish the state prediction model of the linear dynamic model of the networked control system in step 1, the concrete form of described state prediction model is:
[0031]
[0032] In the formula, is the predicted value of x(t-k-τ+i) at time t-k-τ+i obtained based on the measured output function y(t-k-τ) at time t-k-τ, i=2,3,...,k+τ;
[0033] y(t-k-τ) is the measurement output function at time t-k-τ;
[0034] is the predicted value of x(t-k-τ) obtained at time t-k-τ based on the measured output function y(t-k-τ-1) at time t-k-τ-1;
[0035] is the predicted value of x(t-k-τ+1) at time t-k-τ+1 obtained based on the measured output function y(t-k-τ) at time t-k-τ;
[0036] is the predicted value of x(t-k-τ+i-1) at time t-k-τ+i-1 obtained based on the measured output function y(t-k...
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