Abstract: A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.

Abstract: The present invention provides a method of modifying the behavior of a modeled system from a graphical representation of the behavior of the system. Given a graphical representation of the behavior of a modeled system, one or more bounds may be selected for the behavior on the graphical representation. The necessary parameters for the modeled system are then determined for producing the desired behavior based on the selected bounds for the behavior.

Abstract: A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.

Abstract: A control system representing a non-linear system may be modeled in block diagram form in a graphical environment. A linear model based on the block diagram may be generated. The linear model may then be used to design and tune the control system.

Abstract: A method of manipulating a block diagram model with a plurality of graphical modeling components by defining an open loop anywhere on the block diagram model is provided. Graphical modeling components in series with the open loop may be automatically recognized and a plurality of parameters of the graphical modeling components in series with the open loop may be displayed on a display device. A user may simultaneously tune the parameters of the graphical modeling components in series with the open loop. Factorization points breaking the block diagram model in two disconnected parts may be identified in the block diagram model. A virtual graphical model may be generated by replacing a pattern of the graphical modeling components between two factorization points with a single graphical modeling component representing the pattern.

Abstract: A graphical block that defines the functionality of a lookup table and can be used in a block diagram model to capture time-varying characteristics of a system's behavior in the lookup table is presented. The block uses input and output data of the system to dynamically create and update the contents of the underlying lookup table over time. More specifically, the block utilizes an adaptation process that uses the system (or plant) output data to recompute the table values. The adaptation process is implemented as a statistical and signal processing algorithm, such as Recursive Sample Means (RSM), Least Mean Squares (LMS) and Recursive Least-Squares (RLS). The adaptation can be cell-based or point based.

Abstract: A graphical block that defines the functionality of a lookup table and can be used in a block diagram model to capture time-varying characteristics of a system's behavior in the lookup table is presented. The block uses input and output data of the system to dynamically create and update the contents of the underlying lookup table over time. More specifically, the block utilizes an adaptation process that uses the system (or plant) output data to recompute the table values. The adaptation process is implemented as a statistical and signal processing algorithm, such as Recursive Sample Means (RSM), Least Mean Squares (LMS) and Recursive Least-Squares (RLS). The adaptation can be cell-based or point based.

Abstract: The present invention provides a framework to let users systematically analyze, and design controllers for, complex non-linear dynamic systems modeled in a block diagram environment. By extracting linearized models from non-linear plant models (block diagrams), users can use one or more control design and tuning methodologies available for linear systems. Complex side effects, such as cross-coupling and exogenous disturbances, are viewable and can be dealt with in real-time during a design. The results of a design are automatically implemented in a block diagram.

Abstract: A graphical block that defines the functionality of a lookup table and can be used in a block diagram model to capture time-varying characteristics of a system's behavior in the lookup table is presented. The block uses input and output data of the system to dynamically create and update the contents of the underlying lookup table over time. More specifically, the block utilizes an adaptation process that uses the system (or plant) output data to recompute the table values. The adaptation process is implemented as a statistical and signal processing algorithm, such as Recursive Sample Means (RSM), Least Mean Squares (LMS) and Recursive Least-Squares (RLS). The adaptation can be cell-based or point based.