On the Application of a Frequency Domain Controller Design Methodology to Non-Minimum Phase and Unstable Systems

Recently in Jayasuriya and Franchek [1988] a frequency domain design methodology was developed for controller synthesis maximizing the allowable size of an unknown-but-bounded disturbance while satisfying prespecified control and output constraints. The design technique, which accounts for bandwidth limitations, is based on mapping time domain constraints into the frequency domain. Application of the technique to non-minimum phase and/or unstable systems is presented. A non-minimum phase, unstable SIMO system is examined and the results are compared to those obtained by the Set-Theoretic (ST) approach (Usoro et al [1982]).