3 results about "Riccati equation" patented technology

The application discloses a spacecraft magnetic moment attitude control method based on a non-inverse iteration algorithm, and the method establishes a linear periodic model for a spacecraft attitude control system which only relies on a magnetic moment; on the basis, according to a linear quadratic optimal control theory, an optimal controller design problem is converted into a solution problem of a discrete periodic Riccati equation associated with the optimal controller design problem; on the basis of a gradient descent principle, an error function is constructed, and a non-inverse iteration algorithm based on the gradient descent principle is proposed to solve the discrete periodic Riccati equation, so that a matrix inversion operation in a traditional solution method is avoided, and the calculation efficiency and the numerical stability are effectively improved; the obtained Riccati equation solution is used to obtain an optimal state feedback control law, so that the spacecraft attitude optimal control only using the magnetic moment is realized, and a new solution scheme is provided for an attitude control problem of a limited actuator in a space task.

This invention relates to an integral optimal control method and system for ship adaptive rudder track holding, belonging to the field of ship adaptive rudder track control technology. It is proposed to address the problems of low track tracking accuracy and poor performance in indirect track control, as well as yaw issues encountered by wind, waves, and currents during straight track tracking. Key technical points: Based on the ship's speed u0 and the target heading deviation ψ... r Update system matrix A; select accuracy and energy consumption balance parameter matrices, solve the ILQR Riccati equation to obtain the optimal control variance matrix; calculate the ILQR controller proportional differential coefficient matrix, and calculate the integral coefficient matrix according to the critical damping principle; set the noise variance matrix, solve the GESO Riccati equation to obtain the observation equation matrix; calculate the GESO observation gain, and calculate the observation integral gain matrix according to the critical damping principle; calculate the GESO state observation result x and the ILQG control law; repeat the above steps to control the ship to travel along the set straight track. This invention can effectively solve the yaw problem encountered by wind, waves and current interference when tracking a straight track, making the closed-loop system have good robust stability, while reducing the number of steering operations per unit time and reducing steering energy consumption; after extensive testing, it has advanced performance.

This invention discloses a fault-tolerant control optimization method for vehicle platooning. The method constructs a performance function for the vehicle platooning system, providing the constructed performance function and the Riccati equation. A fault-tolerant controller is designed, and the feedback gain and topology are optimized by using a policy iteration method and a projection gradient algorithm, respectively, with the initial topology fixed. Finally, this process is repeated to obtain the suboptimal control input and topology, thereby achieving vehicle platooning.