Showing 1-25 of 1,320 resultsfor "Index Terms":Positively Invariant
"Index Terms":Positively Invariant
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Design of robust positively invariant set for nonholonomic vehicle
2016 Chinese Control and Decision Conference (CCDC)
Year: 2016 | Conference Paper |
Cited by: Papers (3)
The properties of the (robust) positively invariant sets play a fundamental role in variant techniques of (robust) control, such as the constrained control, robust analysis, synthesis and optimization. In this paper, we consider the robust control for the simultaneous tracking and regulation problem (STRP) of nonholonomic vehicle (whose control input is subject to the saturation constraint and the...Show More
Robust positively invariant sets for state dependent and scaled disturbances
2015 54th IEEE Conference on Decision and Control (CDC)
Year: 2015 | Conference Paper |
Cited by: Papers (8)
This paper introduces methods of deriving and computing maximal robust positively invariant sets for linear discrete time systems with additive model uncertainty. Two types of uncertainty are considered: state dependent uncertainty, which can handle multiplicative parametric model uncertainty as well as linearisation errors for nonlinear systems, and scaled sets of uncertainty. We provide a framew...Show More
DYNAMICS OF SPRAY COMBUSTION IN DIESEL ENGINE-LIKE CONDITIONS
2021 International Scientific and Technical Engine Conference (EC)
Year: 2021 | Conference Paper |
The practical importance of the application of the geometric theory of differential equations to the analysis of spray heating, evaporation, and ignition/combustion is demonstrated. It is shown that the system of equations describing these processes for a mono-sized fuel droplet spray can contain non-Lipschitzian nonlinearities. The approaches to the analysis of the systems of ordinary differentia...Show More
The constrained regulation problem for a class of rectangular descriptor systems with constrained states and controls is considered in this paper. A dynamic compensator is designed to guarantee that resultant closed-loop singular systems are admissible, and have a prescribed positively invariant set. Our design approach first translates the regulation problem into that for square descriptor system...Show More
Discrete-time switched systems, set-theoretic analysis and quasi-quadratic Lyapunov functions
2011 19th Mediterranean Conference on Control & Automation (MED)
Year: 2011 | Conference Paper |
Cited by: Papers (5)
The article establishes a constructive link between two approaches for analyzing the stability of discrete-time switched linear systems with arbitrary switching. The first approach is based on quasi-quadratic Lyapunov functions while the second one concerns a set-theoretic analysis of switched systems. An LMIs based procedure for deriving quasi-quadratic Lyapunov functions from the set-theoretic a...Show More
Sliding mode control with unidirectional auxiliary surfaces for Gun-launched UAV
2017 9th International Conference on Modelling, Identification and Control (ICMIC)
Year: 2017 | Conference Paper |
Cited by: Papers (1)
In this paper, the sliding mode control with uni-directional auxiliary surface (UAS-SMC) is proposed for Gun-launched UAV with chattering alleviation and attenuation. The necessary definitions in UAS-SMC method is given to show the detailed information of this method. And relationship between UAS-SMC and traditional SMC method is presented to clearly understand the UAS-SMC theory. Then, a disconti...Show More
Stability analysis of nonlinear systems via locally defined density functions
2009 ICCAS-SICE
Year: 2009 | Conference Paper |
This paper considers local stability analysis of nonlinear systems with deriving a positively invariant set based on Rantzer's stability theory by using density functions. We define notion of locally defined density functions around an equilibrium that give monotonously increasing positive measures near the equilibrium of a nonlinear system. Under several assumptions, it is shown that some level s...Show More
Stability analysis of nonlinear systems via locally defined density functions
Year: 2009 | Conference Paper |
The robust asymptotically stabilization of uncertain nonlinear systems based on high-gain observer
2010 International Conference on Computer and Information Application
Year: 2010 | Conference Paper |
The problem of robust control for uncertain nonlinear systems with high-gain observer is considered. Using singularly perturbed theory, we have proven that the closed loop system based on high-gain output feedback controller is asymptotically stable as long as the state feedback system is asymptotically stable under the meaning of stability in the first approximation, the states will enter the pos...Show More
Chaotic Behavior Investigation and Synchronization of the Earth's Magnetic Field System
2024 4th International Conference on Electronic Information Engineering and Computer Science (EIECS)
Year: 2024 | Conference Paper |
The problem of dynamical behavior and synchronization is investigated for the earth's magnetic field system in this paper. By construct a family of generalized radically infinite and positive definite Lyapunov functions, the globally attractive set and positively invariant set of the earth's magnetic field system are obtained. The chaotic behaviors of the earth's magnetic field system has been inv...Show More
Stabilizing model predictive control scheme for piecewise affine systems with maximal positively invariant terminal set
An efficient algorithm is proposed for computing the solution to the constrained finite time optimal control (CFTOC) problem for discrete-time piecewise affine (PWA) systems with a quadratic performance index. The maximal positively invariant terminal set, which is feasible and invariant with respect to a feedback control law, is computed as terminal target set and an associated Lyapunov function ...Show More
Robust controller design of uncertain nonlinear systems using singular perturbation
2011 Chinese Control and Decision Conference (CCDC)
Year: 2011 | Conference Paper |
The problem of robust controller Design for uncertain nonlinear systems is considered. Based on singularly perturbed theory, we have proven that the states will enter the positively invariant subset within finite time under some definite initial conditions, and the controller is robust to all uncertain terms that belong to a known compact set. The simulation results show the controller can recur t...Show More
Feedback Control Based on Positively Invariant Sets for Linear Constrained Systems
2006 6th World Congress on Intelligent Control and Automation
Year: 2006 | Conference Paper |
The control problem of linear discrete-time systems with constraints of control, state and initial state is studied. State feedback control law of linear constrained systems is designed based on positively invariant sets of linear systems so that all given initial states of system asymptotically transfer to the origin while all constraints are satisfied. Firstly, the problem of the existence of th...Show More
Robust Positively Invariant Cylinders in Constrained Variable Structure Control
This paper proposes the use of cylinders as primary invariant sets to be used in certain state-constrained control designs. Following the idea originally introduced by O'Dell, the primary invariant set is intersected with the state constraints to yield sets which retain the invariance under some conditions. Although several results presented here apply to fairly general nonlinear systems and prima...Show More
Parametric robust positively invariant sets for linear systems with scaled disturbances
2016 IEEE 55th Conference on Decision and Control (CDC)
Year: 2016 | Conference Paper |
Cited by: Papers (2)
This paper presents novel results on robust positively invariant (RPI) sets for linear discrete-time systems with additive disturbances. In particular, we determine how RPI sets change with scaling of the disturbance set. In this context, we analyze families of RPI sets for a given interval of scaling factors. Such parametric RPI sets are useful to study the sensitivity of the system to changes in...Show More
Invariant approximations of the minimal robust positively invariant set via finite time Aumann Integrals
2007 46th IEEE Conference on Decision and Control
Year: 2007 | Conference Paper |
Cited by: Papers (19)
This paper provides results on the minimal robust positively invariant set and its robust positively invariant approximations of an asymptotically stable, continuous-time, linear time-invariant system. The minimal robust positively invariant set is characterized as an infinite time Aumann Integral. A novel family of robust positively invariant sets, defined as a simple scaling of a finite time Aum...Show More
A Novel RPI Set Computation Method for Discrete-time LPV Systems with Bounded Uncertainties
Junbo Tan;Sorin Olaru;Konstantinos Ampountolas;John Jairo Martinez Molina;Feng Xu
2019 IEEE 15th International Conference on Control and Automation (ICCA)
Year: 2019 | Conference Paper |
Cited by: Papers (3)
Set invariance plays a fundamental role in the analysis and design of linear systems. This paper proposes a novel method for constructing robust positively invariant (RPI) sets for discrete-time linear parameter varying (LPV) systems. Starting from the stability assumption in the absence of disturbances, we aim to construct the RPI sets for parametric uncertain system. The existence condition of a...Show More
Robust invariance in uncertain discrete event systems with applications to transportation networks
This paper studies a class of uncertain discrete event systems over the max–plus algebra, where system matrices are unknown but are convex combinations of known matrices. These systems model a wide range of applications, e.g. transportation systems with varying vehicle travel time and queueing networks with uncertain arrival and queuing time. This paper presents the computational methods for diffe...Show More
A Constrained Tracking Controller for Ramp and Sinusoidal Reference Signals Using Robust Positive Invariance
2024 American Control Conference (ACC)
Year: 2024 | Conference Paper |
This paper proposes an output feedback controller capable of ensuring steady-state offset-free tracking for ramp and sinusoidal reference signals while ensuring local stability and state and input constraints fulfillment. The proposed solution is derived by jointly exploiting the internal model principle, polyhedral robust positively invariant arguments, and the Extended Farkas' Lemma. In particul...Show More
Approximate robust receding horizon control for piecewise linear systems via orthogonal partitioning
This paper considers an approximate robust receding horizon control algorithm for a class of hybrid systems by exploiting the equivalence between piecewise linear systems and mixed logical dynamical systems. The control algorithm consists of two control modes which are a state feedback mode and a receding horizon control mode. In the receding horizon control mode, the constrained positively invari...Show More
A Stable and Admissible Explicit Solution to Fuzzy Predictive Control using polyhedral invariant sets
2023 International Conference on Electrical Engineering and Advanced Technology (ICEEAT)
Year: 2023 | Conference Paper |
One of the main problems in Model Predictive control MPC is the lack of guaranteed feasibility and stability. In this paper we propose a strategy to resolve the optimization problem associated with fuzzy predictive control to find a solution that is both stable and admissible. The proposed explicit approach, combined with the theory of invariant sets, provides a secure and admissible solution for ...Show More
Prevention of Aging Attacks: Malicious Nature of the Control Signal
2019 International Automatic Control Conference (CACS)
Year: 2019 | Conference Paper |
Cited by: Papers (2)
In this paper, a security problem in control systems is studied. We consider a controller that transmits the control signal to an actuator. An attacker can compromise the controller in order to degrade the legitimate control signal. We investigate the prevention of attacks that lead to a premature aging of an actuator. We propose to limit the actuator's output range in order to guarantee its norma...Show More
On Finitely Determined Minimal Robust Positively Invariant Sets
Maria M. Seron;Sorin Olaru;Florin Stoican;José A. De Doná;Ernesto J. Kofman
2019 Australian & New Zealand Control Conference (ANZCC)
Year: 2019 | Conference Paper |
Cited by: Papers (1)
For linear, time invariant stable systems with additive state disturbances that are bounded by polytopic sets, we establish connections between the minimal robust positively invariant set (mRPI) and ultimate-bound invariant (UBI) sets. We first identify cases for which the mRPI set is finitely determined. We then apply those cases to address the dual problem of finding (i) the A matrix of an LTI s...Show More
Worst case l/sup /spl infin// to l/sup /spl infin// gain minimization: dynamic versus static state feedback
Proceedings of 35th IEEE Conference on Decision and Control
Year: 1996 | Conference Paper |
Cited by: Papers (7)
It has been recently shown that for the problem of optimal rejection of persistent disturbances using full-state feedback, static nonlinear controllers can recover the performance level achieved by any linear dynamic controller. In this paper we complement these results by showing that for this problem nonlinear dynamic time-varying finite dimensional, possibly discontinuous, compensators do not o...Show More
The persistent disturbance rejection problem (L1 Optimal Control) for continuous time-systems leads to non-rational compensators, even for SISO systems [1-3]. As noted in [2], the difficulty of physically implementing these controllers suggest that the most significant applications of the continuous time L1 theory is to furnish bounds for the achievable performance of discrete-time controllers. Ho...Show More
Efficient computation of Robust Positively Invariant sets with linear state-feedback gain as a variable of optimization
2010 7th International Conference on Electrical Engineering Computing Science and Automatic Control
Year: 2010 | Conference Paper |
Cited by: Papers (14)
In this paper, we develop an algorithm for the efficient computation of Robust Positively Invariant sets for linear discrete-time systems subject to bounded additive disturbances and polytopic input constraints. The proposed algorithm simultaneously computes both the optimal invariant set and the corresponding state-feedback control law in one step by solving a single semidefinite program. Ellipso...Show More
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