3 results about "Error equation" patented technology

This invention relates to the field of automatic control technology, and in particular to a method and system for asymmetric preset performance control of a cascade continuous stirred reactor without initial conditions. The method includes establishing a mechanistic model of the cascade continuous stirred reactor, transforming it into an error equation for the cascade continuous stirred reactor, pre-specifying that the change in reactant concentration error at the output of the cascade continuous stirred reactor satisfies a banded constraint space, converting the banded constraint space into a symmetric constraint space, constructing a radical-type algebraic saturation function to map the symmetric constraint space into a bounded symmetric constraint space, superimposing an exponential finite-time decay function on the bounded symmetric constraint space to construct a bounded symmetric constraint space without initial conditions, constructing a barrier Lyapunov function based on the bounded symmetric constraint space without initial conditions, and designing an asymmetric preset performance controller without initial conditions using the backstepping method. This invention enables the stable, safe, and rapid operation of the cascade continuous stirred reactor.

The application relates to an echo state network-based adaptive fault-tolerant control method for a non-strict repetitive system, which comprises the following steps: constructing a nonlinear dynamic system with an actuator fault, and setting a hypothesis condition; introducing a desired error trajectory, constructing a dynamic error equation, and defining a nonlinear function in the equation; approximating the nonlinear function by using an echo state network; proposing an adaptive iterative learning fault-tolerant algorithm, combining a barrier Lyapunov function, deducing a control input, constructing a controller, and filtering redundant batches; and constructing a barrier composite energy function to verify the stability and convergence of the designed adaptive iterative learning fault-tolerant algorithm. The nonlinear dynamic system constructed by the application can still realize effective tracking and control of the system state to the desired trajectory under the conditions that the actuator has additive or multiplicative faults, the system state is limited, and external disturbances exist.

The application provides a data-driven lever arm error compensation method, and belongs to the technical field of inertial navigation. The application is used for solving the problem that the time-varying equivalent lever arm cannot be directly measured in the inertial navigation of a submerged vehicle, and it is also difficult to accurately separate the lever arm induced error from other sensor errors. The application comprises the following steps: S1, analyzing and modeling the errors affecting transfer alignment; S2, establishing a lever arm error equation and a data-driven compensation model; and S3, velocity error prediction and compensation.