Formal Verification of Dynamical Control Systems (Addressing Integral Windup Phenomena Using Model-Checking)

This paper investigates the utilization of model-checking as a potent method for verifying system designs, emphasizing its early error detection capabilities, reducing failures, increasing safety, and saving costs. The study explores the application of the UPPAAL tool and model-checking techniques within control systems. A case study in the paper concentrates on formally verifying Proportional Integral Derivative (PID) controllers, emphasizing integral windup issues. A model is constructed in UPPAAL for a control system that includes the system dynamics and the actuator limitations. The model’s accuracy is validated against the MATLAB/Simulink® model. Formal requirements addressing integral windup are formulated, and a practical model-checking example using UPPAAL illustrates its utility in control system verification.