An Optimal Estimation Method for Complex Networks with Random Occurrence Couplings
A complex network and state estimation technology, applied in data exchange network, digital transmission system, electrical components, etc., can solve the problems of low estimation performance accuracy, inability to deal with measurement loss and transmission data loss at the same time, to ensure estimation error, Easy to solve and realize, guarantee the effect of minimization
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specific Embodiment approach 1
[0032] Specific implementation mode one: combine figure 1 Describe this embodiment, the specific process of a complex network optimization estimation method with stochastic coupling in this embodiment is:
[0033] The complex network may be a network composed of satellites, robots, spacecraft or radars;
[0034] Step 1. Establishing a dynamic model of a complex network with stochastic coupling and time-delay with measurement loss phenomenon and inaccurate occurrence probability;
[0035] Step 2. Under the event-triggered protocol, perform state estimation on the stochastic coupled time-delay complex network dynamic model with measurement loss phenomenon and inaccurate occurrence probability established in step 1;
[0036] Step 3. Calculate the upper bound of the one-step prediction error covariance matrix Σ of the state estimation of each node of the complex network i,k+1|k ;
[0037] Step 4. According to the upper bound of the one-step forecast error covariance matrix obta...
specific Embodiment approach 2
[0042] Specific embodiment 2: The difference between this embodiment and specific embodiment 1 is that the measurement loss phenomenon (λ i,k ) and inaccurate occurrence probability (γ i,k ) stochastic coupled time-delay complex network dynamic model;
[0043] The state-space form of a stochastic coupled time-delay complex network dynamic model with measurement loss and inaccurate probability is:
[0044]
[0045] the y i,k =λ i,k C i,k x i,k +ν i,k ,i=1,2,...,N, (2)
[0046]
[0047] In the formula,
[0048] are the state variables of the i-th node of the complex network at the kth, k+1 and k-d moments; d is a fixed network delay; is the real field of the state of the complex network dynamic model, n is the dimension; x j,k is the state variable of the jth node of the complex network at the kth moment; is the measurement output of the i-th node at the k-th moment; is the real number field output by the complex network dynamic model, and p is the dimensio...
specific Embodiment approach 3
[0055] Embodiment 3: The difference between this embodiment and Embodiment 1 or 2 is that the event-triggered protocol in Step 2 establishes a random coupling time-delay complex network with measurement loss phenomenon and inaccurate occurrence probability in Step 2. The dynamic model is used for state estimation; the specific process is:
[0056] First, for the i-th node, select the following event trigger formula:
[0057]
[0058] in is the measurement output of the i-th node at the last trigger time, is the corresponding last trigger time value, δ i >0 is a known adjustment threshold, T is the transpose; then the next event of the i-th node triggers the sequence Generated iteratively by:
[0059]
[0060] in is a set of positive integers, and inf{} is a lower limit function;
[0061] After the event trigger mechanism, the actual measurement passed to the filter is
[0062]
[0063] When the next event trigger sequence does not arrive, the actual measure...
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