This study proposes an advanced control and monitoring framework for autonomous tracked robotic systems operating in highly unpredictable industrial cleaning environments, such as large-scale photovoltaic plants and rough factory floors. Tracked locomotion offers superior traction on debris and inclined surfaces; however, it suffers from severe non-linearities caused by track slippage, varying ground friction coefficients, and non-holonomic constraints. To address these challenges within the scope of advanced process control, a dual-layer architecture combining an Extended Kalman Filter (EKF) for sensor fusion and an Adaptive Model Predictive Control (AMPC) loop was developed. The sensor fusion layer integrates high-frequency data from a 6-DOF Inertial Measurement Unit (IMU), high-resolution optical track encoders, and time-of-flight distance sensors to compute real-time kinematic states and dynamically estimate slip ratios. These estimated states feed into the AMPC layer, which continuously updates the prediction model matrices based on localized track-soil interactions. The optimization problem is solved onboard at a control frequency of 50 Hz using a quadratic programming solver. Experimental validation on a 5 kg industrial tracked cleaning robot prototype demonstrated that the proposed EKF-AMPC framework reduced the maximum cross-track error to 1.1 cm, even when transitioning between high-friction dry surfaces and low-friction wet surfaces. Compared to conventional non-adaptive controllers, the proposed system yields a 64% improvement in trajectory tracking precision and completely eliminates oscillatory behaviors during sharp turns. This integration establishes a robust and highly autonomous solution for industrial process automation, effectively minimizing mechanical wear and optimizing energy utilization.