7 results about "Stability theorem" patented technology

The invention discloses a high-order multi-agent system control method with unknown input time lag and quantization, which comprises the following steps: S1) under the condition of unknown time-varying time lag and input quantization, carrying out system description on an uncertain high-order multi-agent system and introducing a lag uniform quantizer; s2) converting an uncertain high-order multi-agent system tracking control problem with unknown time-varying time-lag and input quantization into a bounded problem of a differential equation solution with time-lag; s3) constructing a dominant expression of the system and feasibility conditions for realizing bounded tracking according to the bounded problem of the time delay differential equation; and S4) performing control design according to a dominant expression of the system and bounded tracking feasibility conditions. The invention designs an adaptive finite time dynamic surface control scheme for a high-order multi-agent system with unknown input delay. Meanwhile, the finite time stability theorem is utilized to prove that all signals in the closed-loop system are semi-globally practical and stable in finite time.

The application discloses a state-restricted high-order nonlinear information physical system security control method and device, and relates to the technical field of information security. The method comprises the following steps: a state-restricted high-order nonlinear information physical system with external disturbance under malicious attack is established to obtain a control-oriented dynamic model; an ideal virtual controller and an adaptive law are designed based on the dynamic model; a fixed-time adaptive fuzzy controller is designed based on the dynamic model, the ideal virtual controller, the adaptive law and Lyapunov stability theorem, so as to realize security control of the information physical system suffering from malicious attack. The application can ensure that the system output accurately tracks the ideal output in a fixed time, and the rest of the system states can also track the ideal virtual control signal, and meanwhile, all the system states satisfy the respective state constraint conditions in the whole control process.

This invention discloses a dual non-fragile control method for non-cooperative spacecraft based on electromagnetic capture, comprising: S1, establishing a dynamic model of the relative motion of the non-cooperative spacecraft under electromagnetic capture based on the T-H equations; S2, considering comprehensive disturbances and rewriting the dynamic model into state-space form; S3, designing a dual non-fragile observer / controller to address the coexistence of additive / multiplicative gain perturbations in the observer and controller; S4, substituting the dual non-fragile observer / controller into the state-space equations in step S2 to establish a state-space model of the closed-loop electromagnetic capture system; S5, deriving sufficient conditions for the system to be uniformly eventually bounded based on the LMI method and Lyapunov stability theorem, and solving for the observer / controller parameters in step S3. This invention fully considers the complex situation of coexistence of additive / multiplicative gain perturbations in the observer and controller, and can solve the electromagnetic capture control problem of non-cooperative spacecraft under multi-source disturbances such as external interference, elliptical orbit eccentricity, and unknown mass.

The invention provides a predefined time preset performance tracking control method under input saturation of a mechanical arm, and belongs to the technical field of robot control. The method comprises the steps that a mechanical arm dynamic model is established, and a tracking error is defined; designing a finite time performance function for constraining the dynamic behavior of the tracking error; the design auxiliary system is used for generating a modification signal when the input is saturated; dynamically adjusting the finite time performance function by using the modification signal to obtain a self-correction flexible finite time performance function, and converting the tracking error based on the finite time performance function; and based on the predefined time stability theorem and the conversion error, a predefined time preset performance sliding mode controller is designed, and trajectory tracking of the mechanical arm under the input saturation and model uncertainty conditions is achieved. The method solves the problem that the control precision of the mechanical arm is low.

The application discloses a grid-connected converter large-signal stability analysis method and device and a storage medium, wherein the method comprises the following steps: based on a system space model of the grid-connected converter, a system state space equation of the grid-connected converter is established; based on T-S fuzzy theory, a state space model of the grid-connected converter is established according to the system state space equation of the grid-connected converter; based on a stability theorem of the T-S fuzzy theory, a Lyapunov function of the grid-connected converter is constructed according to the state space model, each dimension of the Lyapunov function is projected to a two-dimensional state space plane, and a stable attractor domain of the Lyapunov large signal is obtained; an affine angle of the stable attractor domain is calculated, when the affine angle meets a preset condition, the stability strength of the grid-connected converter is calculated according to the affine angle, and a large-signal stability analysis result of the grid-connected converter is obtained according to the stability strength. The application can effectively improve the accuracy and reliability of the large-signal stability analysis of the grid-connected converter.

The invention provides a robust beam forming method for spaceflight measurement and control, which comprises the following steps of: 1, acquiring statistical channel state information of ground communication users by a satellite, performing eigenvalue decomposition on a channel autocorrelation matrix of each user, and extracting an eigenvector corresponding to a maximum eigenvalue; 2, grouping the users in the service range, and serving one group of users in one time slot; 3, aiming at a non-convex problem, reconstructing a control stability constraint through a Lyapunov class stability theorem; 4, aiming at each user group, establishing an optimization problem taking traversal and rate maximization as targets; 5, the Jensen inequality and the Mullet's inequality are utilized, the auxiliary variable is introduced to process the target function, the Bernstein inequality and the continuous convex approximation method are combined to solve the optimization problem, and the beam forming weight vector and the transmitting power of each group of users are obtained.According to the method, the satellite resource utilization efficiency is improved through communication and control collaborative design.

The application discloses a cost performance-based dynamic optimization control method for a switched Chua circuit system. The method constructs a cost function of the switched Chua circuit system, gives a corresponding Hamiltonian equation, and solves the optimization control input corresponding to the equation through a Critic neural network. In addition, based on the Lyapunov stability theorem, the consistent ultimate bounded condition of the switched Chua circuit system is ensured.