WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 10, 2015
A Common Structure for H-Infinity Complementary Sensitivity Design of DTCT-PID Controller Parameters
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Abstract: This paper presents a successful design methodology for Discrete-Time or Continuous-Time Proportional Integral Derivative (DTCT-PID) controller parameters that satisfy H-infinity complementary sensitivity constraint for a single input single output (SISO) system. These problems can be solved by finding all achievable DTCT-PID parameters that simultaneously stabilize the closed-loop characteristic polynomial and satisfy constraints defined by a set of related complex polynomials. The bilinear transformation is used to describe the Discrete-Time Proportional Integral Derivative (DTPID) controller parameters since this methodology is based on frequency response and sampled data collection of the system. This approach allows the users to apply the same approach for discrete-time or continuous-time H-infinity complementary sensitivity design of PID parameters. This methodology has been applied to a DC motor data that demonstrate the application of this methodology.
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Keywords: H-infinity complementary sensitivity, PID controller, time delay, discrete- time, continuous time
Pages: 350-359
WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 10, 2015, Art. #38