50 results about "Riccati equation" patented technology

Systems and methods for adaptive control are disclosed. The systems and methods can control uncertain dynamic systems. The control system can comprise a controller that employs a parameter dependent Riccati equation. The controller can produce a response that causes the state of the system to remain bounded. The control system can control both minimum phase and non-minimum phase systems. The control system can augment an existing, non-adaptive control design without modifying the gains employed in that design. The control system can also avoid the use of high gains in both the observer design and the adaptive control law.

The invention provides a design method of an optimal secondary regulator of a dynamic reactive power compensation device. The design method of the optimal secondary regulator of the dynamic reactive power compensation device comprises the following steps: sampling a reactive power output by the reactive power compensation device and a thyristor amplification coefficient, and obtaining a transfer function of the reactive power compensation device by utilizing a model identification algorithm; in the form of observable standard form of a control system theory, designing a continuous time state equation of the reactive power compensation device; setting up an optimizing index function; solving a Riccati equation; calculating a gain matrix of the optimal secondary regulator of the reactive power compensation device; and obtaining an input thyristor amplification coefficient of a control system of the reactive power compensation device. According to the dynamic and static performance required by a designer, the design method of the optimal secondary regulator of the dynamic reactive power compensation device can obtain the optimal parameters of a controller by solving the Riccati equation, guarantees the system to have the optimal control performance, achieves the tracing control of an output reactive power by utilizing the function of the optimal secondary regulator, and has quite excellent system performance.

The invention discloses a BTT guidance control method for a near-space hypersonic flight vehicle. The guidance control method includes the steps that S1, a combined control model of a rolling channel and a yawing channel is established based on the aileron control quantity of the rolling channel, and a control model of a pitching channel is established based on the pitching control quantity; S2, a nonlinear state equation of BTT guidance is established based on the kinetic parameters of the flight vehicle, and the nonlinear state equation is transformed into a state-dependent linear-like structure; S3, by adopting a Riccati equation control method, a guidance law model of the rolling channel, the yawing channel and the pitching channel of the flight vehicle is obtained according to the state-dependent linear-like structure. The guidance control method solves the problem of multichannel cross coupling in BTT control of the near-space hypersonic flight vehicle and can meet the demand for high-precision control of the near-space hypersonic flight vehicle.

The invention discloses a differential game guidance law design method considering the observation of the target acceleration direction. The steps are: 1) Obtain the dynamic equation of the missile and the target based on the terminal guidance premise; 2) Assume that the target maneuver includes disturbance maneuver and escape maneuver, and the missile maneuver includes Disturbance maneuvers and pursuit maneuvers, combined with related payoff functions to obtain a differential game problem considering disturbance maneuvers; 3) Using the state-dependent Riccati equation method to solve the above differential game problems, and obtaining a differential game guidance law considering disturbance maneuvers; 4 ) Assuming that the target only performs disturbance maneuvers and the missile only conducts pursuit maneuvers, the guidance law in 3) is simplified to obtain the differential game guidance law including real-time target acceleration; 5) Under the condition of delayed information, the target acceleration is obtained by compensating the target acceleration direction observation method Predicted value; 6) Replace the real-time target acceleration value in 4) with the predicted value of the target acceleration, and obtain the differential countermeasure guidance law considering the observation of the target acceleration direction.