1System representations 1.1Integer-order system representation 1.2Fractional-order system representation 2Perfect control system considerations 2.1Integer-order instance 2.1.1Perfect control for systems with time delay d > 1 2.1.2Perfect control vs. State feedback control 2.1.3Perfect control vs. optimal control 2.2Fractional-order instance 2.2.1Simulation example 2.3Right-invertible plants 3Inverses of nonsquare matrices - an overview 3.1T-inverses 3.2r-inverses  4.3cr-inverses 4.4S-inverses 4.5A new class of SVD-based inverses 4.6A new HM-inverse 4.6.1Simulation examples 4.7Fractional-order cr-inverse 4.8Fractional-order H-inverse 4.90-inverses 5Relationships between the generalized inverses 5.1A new right cr-inverse 5.2A new left tr-inverse 5.3A new 0-inverse 5.4Right 0-inverse 5.5Numerical examples 5.5.1Left inverse-originated instances 5.5.2Right inverse-originatedinstances 5.5.30-inverse against theMoore-Penrose inverse 5.5.4Perfect control strategy: the multivariable approach 5.5.5Practical scenario 6Robustification of the IMC structures 6.1The contribution of new classes of inverses to therobust state-space perfect control design 6.1.1Simulation examples: 77-inverse involvement 6.1.2Simulation examples: cr-inverse involvement 6.2Practical robust perfect control for fractional-order Griinwald-Letnikov plants 6.2.1Nonzero output reference of the non-integer-order scheme 6.3Truncated maximum-speed/maximum-accuracy non-integerorder IMC law 6.3.1Numerical examples 7Control zeros versus pole placement method 7.3Motivating example 8Non-full rank integer-order and fractional-order perfect Con¬trols 8.3Pole-free fractional-order IMC approach 8.4Simulation example