Showing 1-25 of 1,734 resultsfor "Index Terms":Piecewise Affine
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Linear Fractional Representations and L₂-Stability Analysis of Continuous Piecewise Affine Systems
IEEE Control Systems Letters
Cited by: Papers (1)
This letter addresses L2-stability analysis of discrete-time continuous piecewise affine systems described in input-output form by linear combinations of basis piecewise affine functions. The proposed approach exploits an equivalent representation of these systems as the feedback interconnection of a linear system and a diagonal static block with repeated scalar nonlinearity. This representation e...Show More
A Novel Memory Output Feedback Controller Design for Piecewise Affine Systems
2021 11th International Conference on Information Science and Technology (ICIST)
Year: 2021 | Conference Paper |
This article proposes a memory output feedback controller design approach to piecewise affine systems by using both the current and the past output measurements, i.e., y(t) and y(t-1). By adopting a descriptor system approach, the coupling problem between the controller gains and the Lyapunov matrices has been addressed. Based on piecewise Lyapunov functions and S-procedure, the stability analysis...Show More
Design of Stabilizing Switching Laws for Mixed Switched Affine Systems
This technical note presents stability analysis and stabilization for a general class of switched systems characterized by nonlinear functions. The proposed approach is composed of approximating the switched nonlinear system with a switched affine system that has a mixture of controlled and autonomous switching behavior. Utilizing a joint polyhedral partitioning approach, a stabilizing switching l...Show More
Multiple prediction trajectories in MPC for PWA systems
2020 28th Iranian Conference on Electrical Engineering (ICEE)
Year: 2020 | Conference Paper |
Cited by: Papers (1)
In this paper, a Model Predictive Control problem for constraint discrete time Piecewise Affine (PWA) systems based on quadratic performance criteria is considered. The number of possible switching sequences in PWA systems grows exponentially with the length of the optimal control problem horizon that leads to multiple trajectories in the receding horizon strategy, and should be considered in calc...Show More
LMI-based H∞ control scheme for discrete-time piecewise affine systems
2008 7th World Congress on Intelligent Control and Automation
Year: 2008 | Conference Paper |
Cited by: Papers (1)
This paper presents an H∞ state feedback controller design method for discrete-time piecewise affine (PWA) systems based on a piecewise quadratic Lyapunov function, and the partition information of the PWA systems is taken into account to reduce the design conservatism. Each polytopic operating region is outer approximated by a union of ellipsoids, then the minimum problem of the H∞ performance in...Show More
Minimal Conjunctive Normal Expression of Continuous Piecewise Affine Functions
Jun Xu;Ton J. J. van den Boom;Bart De Schutter;Xiong-Lin Luo
Continuous piecewise affine (PWA) functions arise in many aspects of control. For this kind of function, we propose the minimal conjunctive normal expression (CNE). The CNE can be expressed as the minimum of a collection of terms, each of which is the maximum of a set of affine functions. The minimal CNE is defined to contain the smallest number of parameters. Analogous to Boolean algebra, we prop...Show More
This paper presents an approximate semi-offline approach to model predictive control of continuous-time piecewise affine (CTPWA) systems. The proposed method computes in the offline phase a controllable set and a minimum transition cost associated with each discrete state sequence. Then at each sampling time in the online phase, the controller determines the optimal sequence of intermediate target...Show More
Distributed model predictive control for a class of coupled piecewise affine system
IET International Conference on Information Science and Control Engineering 2012 (ICISCE 2012)
Year: 2012 | Conference Paper |
This paper proposes a distributed model predictive control (DMPC) method with guaranteed stability for system with control coupled information and coupled constraints among the subsystems, which are described by piecewise affine (PWA) model. According to the condition of control input coefficient matrix of the PWA model, two frameworks are established. The DMPC optimal problem of each subsystem is...Show More
Output Feedback Model Reference Adaptive Control of Piecewise Affine Systems With Parameter Convergence Analysis
In this article, the output feedback-based direct model reference adaptive control of piecewise affine systems and its parameter convergence are investigated. Under the slow switching assumption, it is shown that all the closed-loop signals are bounded and the output tracking error is small in the mean square sense. Built upon this result, the estimation error of controller parameters is proved to...Show More
Piecewise Affine System identification: A least harmonic mean approach
2019 IEEE 58th Conference on Decision and Control (CDC)
Year: 2019 | Conference Paper |
Cited by: Papers (1)
In this paper we consider the problem of identifying piecewise affine approximations of nonlinear dynamic systems directly from input-output measurements. This requires estimating a partition of the regression space and an associated set of affine time-invariant models. By relying on a generic Voronoi type of partition, the proposed approach treats these two tasks jointly via the minimization of a...Show More
A method of piecewise affine model identification and predictive control based on data-driven
Proceedings of the 31st Chinese Control Conference
Year: 2012 | Conference Paper |
A multi-input multi-output piecewise affine model identification method based on data-driven and a real-time predictive control method based on multi-parametric programming are proposed for a class of nonlinear and multivariable processes represented by quadruple tank system. A clustering-based algorithm is designed to solve a MIMO piecewise affine autoregressive exogenous (PWARX) model identifica...Show More
A Novel Piecewise Affine Filtering Design for T–S Fuzzy Affine Systems Using Past Output Measurements
IEEE Transactions on Cybernetics
Cited by: Papers (47)
This paper tackles the problem of piecewise affine memory filtering design for the discrete-time norm-bounded uncertain Takagi–Sugeno fuzzy affine systems. The objective is to design an admissible filter using past output measurements of the system, guaranteeing the asymptotic stability of the filtering error system with a given ${\mathscr H}_{\infty }$ performance index. Based on the piecewise ...Show More
Piecewise affine model approximation for unmanned bicycle
Sompol Suntharasantic;Prachya Rungtweesuk;Manop Wongsaisuwan
This paper presents the methods of how to approximate the nonlinear dynamic system into the Piecewise affine state-space model and an application to controller synthesis based on Piecewise Quadratic stability criterion. Apart from linearization technique, three other methods based on minimizing least-square error have been observed. The average of root mean square error in each affine region is co...Show More
Computing the expected value of a concave, piecewise affine bivariate function for the gamma distribution
We present a method for exact computation of the expected value of a non-separable, piecewise linear function of two variables. We assume a stochastic model of two random variables obtained by linear combination of two independent principal components having gamma distributions with integer shape parameters. The method can be implemented so the computational effort is proportional to the number of...Show More
LMI-based event-triggered control of discrete-time piecewise affine systems with norm-bounded uncertainties
2020 Chinese Control And Decision Conference (CCDC)
Year: 2020 | Conference Paper |
This paper is concerned with the problem of designing event-triggered controllers for discrete-time piecewise affine (PWA) systems with norm-bounded uncertainties. Event-triggered scheme transmits signals only when the eventtriggering condition is violated. Due to its advantage in saving communication resources, it is utilized to design the state feedback controllers for piecewise affine systems. ...Show More
Continuous Piecewise Affine Dynamical Systems do not Exhibit Zeno Behavior
In the context of continuous piecewise affine dynamical systems, we study the Zeno behavior, i.e., infinite number of mode transitions in finite time interval, in this note. The main result reveals that piecewise affine dynamical systems do not exhibit Zeno behavior. A direct benefit of the main result is that one can apply smooth ordinary differential equations theory in a local manner for the an...Show More
A Descriptor System Approach to Stability and Stabilization of Discrete-Time Switched PWA Systems
The stability and stabilization problems for a class of switched discrete-time nonlinear systems are studied in this paper. Each nonlinear subsystem of the presented switched system is modeled as a piecewise affine (PWA) one by splitting the state space into polyhedron regions. With the aid of a simple searching strategy for active state transition pairs at a switching instant, i.e., the so-called...Show More
Piecewise Affine System Identification of a Hydraulic Wind Power Transfer System
Hydraulic wind power transfer systems exhibit a highly nonlinear dynamic influenced by system actuator hysteresis and disturbances from wind speed and load torque. This paper presents a system identification approach to approximate such a nonlinear dynamic. Piecewise affine (PWA) models are obtained utilizing the averaged nonlinear models of hysteresis in a confined space. State-space representati...Show More
Model-Based Fault Detection and Estimation for Linear Time Invariant and Piecewise Affine Systems by Using Quadratic Boundedness
2018 IEEE Conference on Decision and Control (CDC)
Year: 2018 | Conference Paper |
Cited by: Papers (4)
Quadratic boundedness is a notion of stability that is adopted to investigate the design of observers for dynamic systems subject to bounded disturbances. We will show how to exploit such observers for the purpose of fault detection. Toward this end, first of all we present the naive application of quadratic boundedness to construct state observers for linear time-invariant systems with state augm...Show More
Lattice piecewise affine approximation of explicit linear model predictive control
2021 60th IEEE Conference on Decision and Control (CDC)
Year: 2021 | Conference Paper |
Cited by: Papers (2)
In this paper, the lattice piecewise affine (PWA) approximation of explicit linear model predictive control (MPC) is proposed. The training data consists of the state samples and corresponding affine control laws, based on which the lattice PWA approximation is constructed. The proposed approximation is identical to the explicit MPC control law in unique-order (UO) regions containing the sample po...Show More
PWA-CTM: An Extended Cell-Transmission Model based on Piecewise Affine Approximation of the Fundamental Diagram
2022 30th Mediterranean Conference on Control and Automation (MED)
Year: 2022 | Conference Paper |
Throughout the past decades, many different versions of the widely used first-order Cell-Transmission Model (CTM) have been proposed for optimal traffic control. Highway traffic management techniques such as Ramp Metering (RM) are typically designed based on an optimization problem with nonlinear constraints originating in the flow-density relation of the Fundamental Diagram (FD). Most of the exte...Show More
Piecewise affine model and control of bicycle by gyroscopic stabilization
The 8th Electrical Engineering/ Electronics, Computer, Telecommunications and Information Technology (ECTI) Association of Thailand - Conference 2011
Year: 2011 | Conference Paper |
Cited by: Papers (8)
This paper considers the naturally unstable unmanned bicycle system at constant forward and rotational speeds. The bicycle is attached with a gyroscopic flywheel acting as an actuator for roll angle stabilization. The nonlinear model of the system is approximated by piecewise affine functions which minimizes the model error even outside the operating regions. The controller synthesis problem is ca...Show More
The Direct Piece-Wise Affine Modeling of LLC Resonant Converter
IECON 2019 - 45th Annual Conference of the IEEE Industrial Electronics Society
Year: 2019 | Conference Paper |
Cited by: Papers (6)
Resonant converters are hard nonlinear systems which are comprised of both continuous and discontinuous nonlinearities. Many nonlinear modeling approaches lead to a very awkward, unsystematic stability analysis and controller design. Hence, stability analysis and stabilizing controller design of the popular LLC resonant converter still remain challenging as direct consequences of the absence of a ...Show More
State Feedback Control Strategy Based on Ellipsoid for Piecewise Affine System with Time-Delay
2008 ISECS International Colloquium on Computing, Communication, Control, and Management
Year: 2008 | Conference Paper |
Cited by: Papers (1)
This paper deals with a discrete-time piecewise affine (PWA) systems with time-delay. The PWA systems is described as ellipsoid which can be characterized by a set of vector inequalities, thereby the constraint of linear matrix inequalities (LMIs) is released. In terms of LMIs, the time-delay PWA system can be stabilized in Lyapunov theory. A convex optimization problem with LMIs constraints is fo...Show More
State feedback redesign for PWA system with regional pole placement performance using LMI
2012 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology
Year: 2012 | Conference Paper |
Cited by: Papers (1)
This paper considers a state-feedback controller which guarantees the stability of a class of nonlinear systems over the desired region and ensures some practical performance criteria of the closed-loop system. We apply the piecewise affine technique together with the regional pole placement and linear quadratic regulator in order that all design formulations are cast as a linear matrix inequality...Show More
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