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H-Infinity Synthesis

Frequency-domain controller design

Robust Control Toolbox™ commands let you apply the powerful methods of H∞ synthesis to SISO and MIMO control design problems. You can use hinfstruct to tune fixed-structure control systems, which are control systems that have predefined architectures and controller structures. Commands such as hinfsyn perform traditional synthesis of full-order, centralized controllers. For more information about the difference, see Difference Between Fixed-Structure Tuning and Traditional H-Infinity Synthesis.

Functions

hinfsynCompute H-infinity optimal controller
hinfsynOptionsOption set for hinfsyn and mixsyn
h2synCompute H2 optimal controller
h2synOptionsOption set for h2syn
hinfstructH∞ tuning of fixed-structure controllers
hinfstructOptionsSet options for hinfstruct
hinffcFull-control H-infinity synthesis
hinffiFull-information H-infinity synthesis
sdhinfsynCompute H∞ controller for sampled-data system
h2hinfsynMixed H2/H∞ synthesis with regional pole placement constraints
hinfnormH∞ norm of dynamic system
makeweightWeighting function with monotonic gain profile
mkfilterGenerate Bessel, Butterworth, Chebyshev, or RC filter
augwPlant augmentation for weighted mixed-sensitivity H∞ and H2 loop-shaping design

Topics

About Fixed-Structure Controller Tuning

H∞ Tuning of Fixed-Structure Controllers

H∞ Synthesis of Centralized Controllers

  • Robust Control of Active Suspension
    In this example, use H∞ synthesis to design a controller for a nominal plant model. Then, use μ synthesis to design a robust controller that accounts for uncertainty in the model.
  • Control of a Two-Tank System
    This example shows how to use Robust Control Toolbox™ to design a robust controller (using D-K iteration) and to do robustness analysis on a process control problem.
  • Norms and Singular Values
    For MIMO systems the transfer functions are matrices, and relevant measures of gain are determined by singular values, H∞, and H2 norms.
  • Interpretation of H-Infinity Norm
    There are several ways of defining norms of a scalar signal, which have different physical interpretations and provide different measures of performance.
  • H-Infinity Performance
    Many types of control objectives can be posed as a minimization of norms of closed-loop transfer functions.

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