State and output feedback local control schemes for nonlinear discrete-time 2-D Roesser systems under saturation, quantization and slope restricted input

Highlights：

• Multiple restrictions on the input signal are considered for the Roesser systems that include slope restriction, quantization, and generalized nonlinearity. The generalized nonlinearity may deal with saturation or modeling related deficiencies in the actuator dynamics and real world applications can be examined through this approach. Under the restriction on input as discussed earlier, two novel special cases are also investigated in the absence of quantization and intrinsic nonlinearities one by one.

• The whole methodology has been extended for the output feedback topology to address the practical applications. Many real world systems do not have all the states available for feedback, therefore, output feedback has been explored to consider the controllers for both horizontal and vertical directions of Roesser system.

摘要

•The important intrinsic nonlinearity factor in the Roesser system is considered in contrast to the existing works. The presented criteria for the stability and performance compliance realize complicated constraints than the previous literature to the best of authors’ belief. Regional stability approach for the Roesser dynamics has been used which proves existence of different stability and boundary regions in cyclic fashion.•Multiple restrictions on the input signal are considered for the Roesser systems that include slope restriction, quantization, and generalized nonlinearity. The generalized nonlinearity may deal with saturation or modeling related deficiencies in the actuator dynamics and real world applications can be examined through this approach. Under the restriction on input as discussed earlier, two novel special cases are also investigated in the absence of quantization and intrinsic nonlinearities one by one.•The whole methodology has been extended for the output feedback topology to address the practical applications. Many real world systems do not have all the states available for feedback, therefore, output feedback has been explored to consider the controllers for both horizontal and vertical directions of Roesser system.