The Control Systems Handbook

Analysis Methods for MIMO Linear Systems: Numerical and Computational Issues in Linear Control and System Theory. Multivariable Poles, Zeros, and Pole-Zero Cancellations. Fundamentals of Linear Time-Varying Systems. Balanced Realizations, Model Order Reduction, and the Hankel Operator. Geometric Theory of Linear Systems. Polynomial and Matrix Fraction Descriptions. Robustness Analysis with Real Parametric Uncertainty. MIMO Frequency Response Analysis and the Singular Value Decomposition. Stability Robustness to Unstructured Uncertainty for Linear Time Invariant Systems. Trade-Offs and Limitations in Feedback Systems. Modeling Deterministic Uncertainty. Kalman Filter and Observers: Linear Systems and White Noise. Kalman Filtering. Riccati Equations and their Solution. Observers. Design Methods for MIMO LTI Systems: Eigenstructure Assignment. Linear Quadratic Regulator Control. H2 (LQG) and H∞ Control. l1 Robust Control: Theory, Computation, and Design. The Structured Singular Value (μ) Framework. Algebraic Design Methods. Quantitative Feedback Theory (QFT) Technique. Robust Servomechanism Problem. Linear Matrix Inequalities in Control. Optimal Control. Decentralized Control. Decoupling. Linear Model Predictive Control in the Process Industries. Analysis and Design of Hybrid Systems: Computation of Reach Sets for Dynamical Systems. Hybrid Dynamical Systems: Stability and Stabilization. Optimal Control of Switching Systems via Embedding into Continuous Optimal Control Problem. Adaptive Control: Automatic Tuning of PID Controllers. Self-Tuning Control. Model Reference Adaptive Control. Robust Adaptive Control. Iterative Learning Control. Analysis and Design of Nonlinear Systems: Nonlinear Zero Dynamics. The Lie Bracket and Control. Two Timescale and Averaging Methods. Volterra and Fliess Series Expansions for Nonlinear Systems. Integral Quadratic Constraints. Control of Nonholonomic and Underactuated Systems. Stability: Lyapunov Stability. Input-Output Stability. Input-to-State Stability. Design. Feedback Linearization of Nonlinear Systems. The Steady-State Behavior of a Nonlinear System. Nonlinear Output Regulation. Lyapunov Design, Variable Structure, Sliding-Mode Controller Design. Control of Bifurcations and Chaos, Eyad H. Abed. Open-Loop Control Using Oscillatory Inputs. Adaptive Nonlinear Control, Intelligent Control. Fuzzy Control. Neural Control. System Identification: System Identification. Stochastic Control: Discrete Time Markov Processes. Stochastic Differential Equations. Linear Stochastic Input–Output Models. Dynamic Programming. Approximate Dynamic Programming. Stability of Stochastic Systems. Continuous-Time Linear Systems. Probabilistic and Randomized Tools for Control Design. Stabilization of Stochastic Nonlinear Continuous-Time Systems. Control of Distributed Parameter Systems: Control of Systems Governed by Partial Differential Equations. Controllability of Thin Elastic Beams and Plates. Control of the Heat Equation. Observability of Linear Distributed-Parameter Systems. Boundary Control of PDE’s: . Stabilization of Fluid Flows. Networks and Networked Controls: Control Over Digital Networks. Decentralized Control and Algebraic Approaches. Estimation and Control across Analog Erasure Channels. Passivity Approach to Network Stability Analysis and Distributed Control Synthesis. Index.