IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 45, NO. 10, OCTOBER 2000
1893
Dynamic Surface Control for a Class of Nonlinear Systems
D. Swaroop, J. K. Hedrick, P. P. Yip, and J. C. Gerdes
Abstract-A new method is proposed for designing controllers
4 `Equilibrium Finding
Key points
Nonlinear systems may have a number of equilibrium points (from zero to infinity). These are obtained from the solution of n algebraic equations in n unknowns. The global implicit function theorem states conditi
Control of Nonlinear Dynamic Systems: Theory and Applications J. K. Hedrick and A. Girard
2005
6 `Controllability and Observability of Nonlinear Systems
Key points
Nonlinear observability is intimately tied to the Lie derivative. The Lie deri
3
Phase-Plane Analysis
Key points Phase plane analysis is limited to second-order systems. For second order systems, solution trajectories can be represented by curves in the plane, which allows for visualization of the qualitative behavior of t
2
General Properties of Linear and Nonlinear Systems
Key points Linear systems satisfy the properties of superposition and homogeneity. Any system that does not satisfy these properties is nonlinear. Linear systems have one equilibrium point a
Control of Nonlinear Dynamic Systems: Theory and Applications J. K. Hedrick and A. Girard
2005
8 `Feedback Linearization
Key points Feedback linearization = ways of transforming original system models into equivalent models of a simpler form. C
Control of Nonlinear Dynamic Systems: Theory and Applications J. K. Hedrick and A. Girard
2005
10
`Nonlinear Observers
Key points All the control methodologies covered so far require full state information. This can be impossible, or expensive
Control of Nonlinear Dynamic Systems: Theory and Applications J. K. Hedrick and A. Girard
2005
7
Stability of Nonlinear Systems
Key points Stability, asymptotic stability, uniform stability, global stability The Second Method of Lyapunov allo
INT. J. CONTROL,
2002 , VOL. 75, NO. 12, 870 881
Robust stabilization and ultimate boundedness of dynamic surface control systems via convex optimization
BONGSOB SONG{*, J. KARL HEDRICK{ and ADAM HOWELL{
In this paper, a new method of analysing th
5 `Qualitative Analysis of Nonlinear Systems: The Center Manifold Theorem
Key points Qualitative analysis is an extension of phase-plane analysis to higher-order systems. The center manifold theorem is an extension of Lyapunov's first method to ev
Jung-ho Kim Seung-Hyun Oh Dong-il `Dan' Cho
e-mail: [email protected] School of Electrical Engineering and Computer Science, Seoul National University, San 56-1, Shinlim-dong, Kwanak-ku, Seoul 151-742, Korea
Robust Discrete-Time Variable Structur
1 `Introduction
Key points
Few physical systems are truly linear. The most common method to analyze and design controllers for system is to start with linearizing the system about some point, which yields a linear model, and then to use linear c