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AUTOMATIC CONTROL KTH Nonlinear Control, EL2620 / 2E1262 Solutions December 16, 20081. Consider the nonlinear system x 1 kx1 x2x 2 x1 x32 + u (a) The equilibriums are given by: x1 x2 0x1 x32 0, which.

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There are two classes of nonlinear control: discontinuous and continuous.

Prerequisite(s): Knowledge of linear algebra and ordinary differential equations (at an undergraduate level); some computing experience is desirable.

There are two classes of nonlinear control: discontinuous and continuous. The discontinuous methods include on-off and three state devices.

Some properties of non-linear dynamic systems are: ... ➢ They may have multiple isolated equilibrium points (linear systems can have only one) ... ➢ Finite escape time: The state of an unstable nonlinear system can go to infinity in finite time. ... various amplitudes and phase differences.

Explanation: Stability of the system implies that small changes in the system input, initial conditions, and system parameters does not result in large change in system output. Explanation: A system is stable only if it is BIBO stable and asymptotic stable.

These include limit cycle theory, Poincaré maps, Lyapunov stability theory, and describing functions.

Mathematical prerequisites: Students taking this course are expected to have some familiarity with linear algebra, single variable calculus, and differential equations.

Nonlinear control theory covers a wider class of systems that do not obey the superposition principle. It applies to more real-world systems, because all real control systems are nonlinear. These systems are often governed by nonlinear differential equations.

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