Control studies suggest that a simple decentralized control structure without controller parameter scheduling can accommodate changes in the production rate and feed composition and can also transition smoothly between product distributions.
Proportional-integral-proportional-derivative (PI-PD) control is a modified of PID control and can get improved control performance; however, due to the complex controller parameter tuning, the PI-PD control is used in a limited scope.
Continuing with the control system design, the controller parameter tuning was performed coupling an integral of time absolute error method with an optimization strategy.
Since the design criterion is a closed-loop test formulated in the controller parameter space, any control structure constraint is allowed, such as: low-order dynamic controllers, static output feedback controllers, decentralized control, etc.
To achieve this, a new parameterization that relates to the Youla parameterization is developed that connects the bi-directional controller parameter affinely to the overall control criterion, which enables a systematic design.
An H2 control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters.
Compared with the existing control strategies, a previous adaptive fuzzy control scheme proposed in [29] is also utilized to control this system with the above controller parameter.
A new control algorithm for friction compensation is introduced to enhance the accuracy of pneumatic servo position control systems by means of adjustment of a so-called adaptive controller parameter Ma.
Thus, for simplicity, taking a proportional controller as an example, the discrete-time model of the digital control system is derives as (11), where k is the proportional controller parameter.
