Finite-time Guaranteed Cost Control Research Articles

Event-triggered finite-time guaranteed cost control of uncertain active suspension vehicle system

The event-triggered finite-time guaranteed cost control problem is important for an uncertain active suspension vehicle system. Existing works on the design of finite-time controllers for active suspension systems have not been extended to the event-triggered finite-time guaranteed cost control problem for uncertain active suspension systems. In this paper, we investigate the problem of designing an event-triggered finite-time guaranteed cost controller for an uncertain active suspension system. A new event-triggered controller and a cost function are first defined. Then, some new sufficient conditions for designing an event-triggered state feedback controller are derived based on linear matrix inequalities to stabilise the closed-loop systems while guaranteeing an adequate cost level of performance. Finally, numerical results and simulations are given to illustrate the effectiveness of the proposed method.

Event-triggered finite-time guaranteed cost control of asynchronous switched systems under the round-robin protocol via an AED-ADT method

Event-triggered finite-time guaranteed cost control of asynchronous switched systems under the round-robin protocol via an AED-ADT method

Non-fragile Finite-Time Guaranteed Cost Control for a Class of Singular Caputo Fractional-Order Systems with Uncertainties

Non-fragile Finite-Time Guaranteed Cost Control for a Class of Singular Caputo Fractional-Order Systems with Uncertainties

Weighted Pseudo-θ-Almost Periodic Sequence and Finite-Time Guaranteed Cost Control for Discrete-Space and Discrete-Time Stochastic Genetic Regulatory Networks with Time Delays

This paper considers the dual hybrid effects of discrete-time stochastic genetic regulatory networks and discrete-space stochastic genetic regulatory networks in difference formats of exponential Euler difference and second-order central finite difference. The existence of a unique-weight pseudo-θ-almost periodic sequence solution for discrete-time and discrete-space stochastic genetic regulatory networks on the basis of discrete constant variation formulation is discussed, as well as the theory of semi-flow and metric dynamical systems. Furthermore, a finite-time guaranteed cost controller is constructed to reach global exponential stability of these discrete networks via establishing a framework of drive, response, and error networks. The results indicate that spatial diffusions of non-negative dense coefficients have no influence on the global existence of the unique weighted pseudo-θ-almost periodic sequence solution of the networks. The present study is a basic work in the consideration of discrete spatial diffusion in stochastic genetic regulatory networks and serves as a foundation for further study.

Input-Output Finite-Time Guaranteed Cost Control for Time-Varying Systems Based on an Aperiodic Adaptive Event-Triggered Mechanism

Input-Output Finite-Time Guaranteed Cost Control for Time-Varying Systems Based on an Aperiodic Adaptive Event-Triggered Mechanism

New results on finite‐time guaranteed cost control of uncertain polytopic fractional‐order systems with time‐varying delays

AbstractThis article deals with the problem of finite time guaranteed cost control for uncertain polytopic fractional‐order systems with time‐varying delays. A linear quadratic cost function is considered as a performance measure for the closed‐loop system. By using Laplace transform and linear matrix inequalities (LMIs), a guaranteed cost controller design is presented and sufficient conditions for the existence of a finite time guaranteed cost state‐feedback control for the system are given in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the obtained result.

Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion

This study considers the finite-time guaranteed cost control problem for a class of stochastic nonlinear switched systems (SNSSs) with time-varying delays, reaction-diffusion and actuator faults. The reliable control strategy is designed to finite-time stabilization for SNSSs. By virtue of the Lyapunov method, Neumann boundary condition, some famous inequality techniques and average dwell-time approach, sufficient criterion are obtained to ensure finite-time stability of proposed controlled systems. We investigate the finite-time stabilization results by designing the control gain matrices for reliable controller. The sufficient criteria are expressed in terms of linear matrix inequalities (LMIs) that can be verified by MATLAB LMI toolbox. Furthermore, a new sufficient criterion is presented to guarantee the finite-time cost control of proposed controlled systems. Based on this criterion, the effects of control gains, switching signals and time-varying delays on finite-time stability are also analysed. At last, numerical simulations are presented to illustrate the efficiency and superiority of designed reliable controller.

Finite-time guaranteed cost control for uncertain delayed switched nonlinear stochastic systems

This paper studies the finite-time guaranteed cost control problem for switched nonlinear stochastic systems with parameter uncertainties and time-varying delays. By choosing a model-dependent and delay-dependent Lyapunov-Krasovskii functional, applying the average dwell time approach and the Gronwall inequality, some novel sufficient conditions are derived to ensure that the switched nonlinear stochastic closed-loop system is finite-time stochastically stable and an upper bound is given on the performance index. The obtained nonlinear matrix is transformed into a linear matrix form, and then the feedback controller gains of the switched nonlinear stochastic systems with time-varying delay are obtained. Finally, two simulation examples are designed to verify the effectiveness of the suggested approach.

Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

In this paper, the finite-time guaranteed cost control (FTGCC) problem is addressed for Itô Markovian jump systems with time-varying delays. The aim of this paper is to design a state feedback guaranteed cost controller, such that not only the resulting closed-loop systems are finite-time stable, but also cost performance has a minimum upper bound. First, new sufficient conditions for the existence of guaranteed cost controllers are presented via the linear matrix inequality (LMI) approach. Then, based on the established conditions, the desired controllers are designed and the upper bound of cost performance is provided. In the end, an example is employed to show the validity of the obtained results.

Guaranteed cost finite-time control of large-scale singular systems with interconnected delays

The guaranteed cost finite-time control problem of large-scale singular systems subjected to interconnected state delays is addressed in this article. A singular value decomposition approach combining with the Lyapunov function method is proposed to study the problem. Based on the method, delay-dependent sufficient conditions are established to design guaranteed cost controllers, which are presented in terms of tractable linear matrix inequalities. An example with simulation is given to demonstrate the validity and effectiveness of the theoretical results.

Guaranteed Cost Finite-Time Control of Uncertain Coupled Neural Networks.

This article investigates a robust guaranteed cost finite-time control for coupled neural networks with parametric uncertainties. The parameter uncertainties are assumed to be time-varying norm bounded, which appears on the system state and input matrices. The robust guaranteed cost control laws presented in this article include both continuous feedback controllers and intermittent feedback controllers, which were rarely found in the literature. The proposed guaranteed cost finite-time control is designed in terms of a set of linear-matrix inequalities (LMIs) to steer the coupled neural networks to achieve finite-time synchronization with an upper bound of a guaranteed cost function. Furthermore, open-loop optimization problems are formulated to minimize the upper bound of the quadratic cost function and convergence time, it can obtain the optimal guaranteed cost periodically intermittent and continuous feedback control parameters. Finally, the proposed guaranteed cost periodically intermittent and continuous feedback control schemes are verified by simulations.

Event-triggered non-fragile finite-time guaranteed cost control for uncertain switched nonlinear networked systems

In this paper, the finite-time event-triggered and guaranteed non-fragile cost control problem is discussed for a class of uncertain switched nonlinear networked control systems (SNNCS) which involves parameter uncertainties and time-varying transmission delays. The main aim of this work is to synthesize finite-time event-triggered and guaranteed cost non-fragile controller for ensuring the finite-time boundedness of the resulting SNNCS with optimal dissipative performance index. By proposing an appropriate Lyapunov–Krasovskii functional and using the average dwell time technique, a set of new delay-dependent finite-time boundedness conditions is established in terms of linear matrix inequalities to obtain the desired result. The proposed approach unifies the H∞,L2−L∞, passivity and (Q,S,R) - dissipativity performance concept in a single framework. Further, the associated optimization problem is formulated to minimize the guaranteed cost performance bound. To save communication resources, an event-based rule is also introduced and implemented for the control signal transmission. Finally, two numerical examples with simulations are provided to demonstrate the efficiency of the developed control design technique.

Finite-time guaranteed cost control for uncertain mean-field stochastic systems

This paper deals with the finite-time guaranteed cost control problem for uncertain mean-field stochastic systems. Some sufficient conditions for the existence of state and output feedback finite-time guaranteed cost laws are given using finite-time stability theory. A guaranteed cost control gain is obtained through a convex optimization problem. The effectiveness of the proposed results is illustrated by a numerical example.

Nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems

Abstract This paper considers the nonfragile observer-based guaranteed cost finite-time control of discrete-time positive impulsive switched systems(DPISS). Firstly, the positive observer and nonfragile positive observer are designed to estimate the actual state of the underlying systems, respectively. Secondly, by using the average dwell time(ADT) approach and multiple linear co-positive Lyapunov function (MLCLF), two guaranteed cost finite-time controller are designed and sufficient conditions are obtained to guarantee the corresponding closed-loop systems are guaranteed cost finite-time stability(GCFTS). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

Robust Finite-Time Guaranteed Cost Control for Positive Systems with Multiple Time Delays

This paper deals with the finite-time guaranteed cost control problem for positive system with multiple time delays and bounded disturbance. By using Lyapunov-Krasovskii functional method, some new sufficient conditions for the design of a state feedback controller which makes the closedloop system finite-time stable and guarantees an adequate cost level of performance are derived. Two numerical examples are also given to show the effectiveness of the proposed method.

Guaranteed Cost Finite-Time Control of Fractional-Order Nonlinear Positive Switched Systems with D-Perturbations via MDADT

This paper is concerned with the problem of guaranteed cost finite-time control of fractionalorder nonlinear positive switched systems (FONPSS) with D-perturbation. Firstly, the proof of the positivity of FONPSS with D-perturbation is given, the definition of guaranteed cost finite-time stability is firstly given in such systems. Then, by constructing linear copositive Lyapunov functions and using the mode-dependent average dwell time (MDADT) approach, a static output feedback controller is constructed, and sufficient conditions are derived to guarantee that the corresponding closed-loop system is guaranteed cost finite-time stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, an example is provided to illustrate the effectiveness of the proposed method.

Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems

This paper considers the guaranteed cost finite-time boundedness of discrete-time positive impulsive switched systems. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the multiple linear copositive Lyapunov function (MLCLF) and average dwell time (ADT) approach, a state feedback controller is designed and sufficient conditions are obtained to guarantee that the corresponding closed-loop system is guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, a numerical example is provided to show the effectiveness of the proposed method.

Guaranteed cost finite-time control of positive switched nonlinear systems with D-perturbation

Abstract This paper considers the guaranteed cost finite-time boundedness of positive switched nonlinear systems with D-perturbation and time-varying delay. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Lyapunov-Krasovskii functional and average dwell time (ADT) approach, an output feedback controller is designed and sufficient conditions are obtained to ensure the corresponding closed-loop systems to be guaranteed cost finite-time boundedness (GCFTB). Such conditions can be solved by linear programming. Finally, two examples are provided to show the effectiveness of the proposed method.

Guaranteed Cost Finite-Time Control of Fractional-Order Positive Switched Systems

The problem of guaranteed cost finite-time control of fractional-order positive switched systems (FOPSS) is considered in this paper. Firstly, a new cost function is defined. Then, by constructing linear copositive Lyapunov functions and using the average dwell time (ADT) approach, a state feedback controller and a static output feedback controller are constructed, respectively, and sufficient conditions are derived to guarantee that the corresponding closed-loop systems are guaranteed cost finite-time stable (GCFTS). Such conditions can be easily solved by linear programming. Finally, two examples are given to illustrate the effectiveness of the proposed method.

Guaranteed Cost Finite-Time Control for Positive Switched Linear Systems with Time-Varying Delays

This paper considers the guaranteed cost finite-time control for positive switched linear systems with time-varying delays. The definition of guaranteed cost finite-time boundedness is firstly given. Then, by using the mode-dependent average dwell time approach, a static output feedback law and a state feedback control law are constructed, respectively, and sufficient conditions are obtained to guarantee that the closed-loop system is guaranteed cost finite-time boundedness. Such conditions can be easily solved by linear programming. Finally, an example is given to illustrate the effectiveness of the proposed method.