Research Article

Fault Detection Filter Design and Optimization for Switched Systems with All Modes Unstable

Algorithm 1

Intelligent optimization algorithm for fault detection filters design.
(1)Construct the fault detection filters for switched systems
(2)Set the variation range of fault detection filters
(3)Stability analysis and calculate the MDADT based on Eq. (15)
(4)Design the fault detection filters based on Theorem 3
(5)Randomly generate the initial weights of the actor network and critic network
(6)Initialize the critic target network and actor target network
(7)Initialize the Replay buffer and define episode = 0
(8)for episode = 1 to M do
(9) Initialize a random noise process to improve the robustness
(10) Initialize a random state vector s1, then the initial observation can be obtained
(11)  for t = 1 to K do
(12)   Chose action based on the current state and noise in the environment
(13)   Calculate the reward function and state
(14)   Store the transition pair in the Replay buffer R
(15)   Sample a random minibatch of N transitions from the Replay buffer
(16)   Set
(17)   Update the critic network, actor network and target networks
(18)end for
(19)end for