Topics in Control Theory - Tapa blanda

Sinopsis

1 The problem of output regulation.- 1.1 Introduction.- 1.2 Problem statement.- 1.3 Output regulation via full information.- 1.4 Output regulation via error feedback.- 1.5 A particular case.- 1.6 Well-posedness and robustness.- 1.7 The construction of a robust regulator.- 2 Disturbance attenuation via H?-methods.- 2.1 Introduction.- 2.2 Problem statement.- 2.3 A characterization of the L2-gain of a linear system.- 2.4 Disturbance attenuation via full information.- 2.5 Disturbance attenuation via measured feedback.- 3 Full information regulators.- 3.1 Problem statement.- 3.2 Time-dependent control strategies.- 3.3 Examples.- 3.4 Time-independent control strategies.- 3.5 The local case.- 4 Nonlinear observers.- 4.1 Problem statement.- 4.2 Time-dependent observers.- 4.3 Error feedback regulators.- 4.4 Examples.- 5 Nonlinear H?-techniques.- 5.1 Introduction.- 5.2 Construction of the saddle-point.- 5.3 The local scenario.- 5.4 Disturbance attenuation via linearization.- A Matrix equations.- A.l Linear matrix equations.- A.2 Algebraic Riccati equations.- B Invariant manifolds.- B.l Existence theorem.- B.2 Outflowing manifolds.- B.3 Asymptotic phase.- B.5 A special case.- B.6 Dichotomies and Lyapunov functions.- C Hamilton-Jacobi-Bellman-Isaacs equation.- C.l Introduction.- C.2 Method of characteristics.- C.3 The equation of Isaacs.- C.4 The Hamiltonian version of Isaacs' equation.

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