H-infinity Control System Design and Implementation

The following MATLAB code demonstrates the implementation of an H-infinity control system design. H-infinity control systems are specifically engineered to minimize disturbance effects in feedback control systems by optimizing the system's transfer function constraints using H-infinity norms. The code implementation typically involves several key steps: defining the generalized plant model, specifying performance weighting functions, and solving the H-infinity optimization problem. The core algorithm utilizes Riccati equation solutions or linear matrix inequalities (LMIs) to compute the optimal controller that minimizes the infinity norm of the closed-loop transfer function. Key MATLAB functions employed in this implementation may include: - `hinfsyn()` for H-infinity synthesis - `augw()` for system augmentation with weighting functions - `hinfnorm()` for verifying the resulting H-infinity norm The code provides configurable parameters for selecting appropriate weighting functions that shape the frequency response characteristics and define the controller structure. These weighting functions allow engineers to specify performance requirements for different frequency ranges, such as low-frequency tracking accuracy and high-frequency noise rejection. All parameters including weighting function coefficients, performance bounds, and controller order can be adjusted to fine-tune the system's robust performance characteristics. The implementation ensures numerical stability while handling various system configurations, from SISO to MIMO control problems.