Null controllable region of LTI discrete-time systems with input saturation
نویسندگان
چکیده
We present a formula for the extremes of the null controllable region of a general LTI discrete-time system with bounded inputs. For an nth order system with only real poles (not necessarily distinct), the formula is simpli5ed to an elementary matrix function, which in turn shows that the set of the extremes coincides with a set of trajectories of the time-reversed system under bang–bang controls with n− 2 or less switches. ? 2002 Elsevier Science Ltd. All rights reserved.
منابع مشابه
Switching surfaces and null-controllable region of a class of LTI systems using Gröbner basis
The problem of time optimal feedback control of a single input, continuous time, linear time invariant (LTI) system is considered. The control input is constrained to obey |u(t)| ≤ 1. It is known that the solution to this problem is bang-bang with the input switching between the extreme values ±1 according to some “switching surfaces” in the state space. It is shown that for a class of LTI syst...
متن کاملOutput regulation of general discrete-time linear systems with saturation nonlinearities
This paper studies the classical problem of output regulation for linear discrete-time systems subject to actuator saturation and extends the recent results on continuous-time systems to discrete-time systems. The asymptotically regulatable region, the set of all initial conditions of the plant and the exosystem for which the asymptotic output regulation is possible, is characterized in terms o...
متن کاملStabilization of Linear Systems with Input Constraints
We consider the control of an unstable LTI system with a constraint on the control input. We show that for every compact subset of the null-controllable region of the system, we can constructively design a nonlinear state feedback controller which ensures the internal exponential stability of the closed loop system, i.e., the state and control signals go to zero exponentially, for every initial...
متن کاملSemi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation
For a linear system under a given saturated linear feedback, we propose feedback laws that achieve semi-global stabilization on the null controllable region while preserving the performance of the original feedback law in a 4xed region. Here by semi-global stabilization on the null controllable region we mean the design of feedback laws that result in a domain of attraction that includes any a ...
متن کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Automatica
دوره 38 شماره
صفحات -
تاریخ انتشار 2002