$H_{\infty}$ Controller Design for Networked Predictive Control Systems Based on the Average Dwell-Time Approach

Abstract

Abstract-This brief focuses on the problem of H ∞ control for a class of networked control systems with time-varying delay in both forward and backward channels. Based on the average dwell-time method, a novel delay-compensation strategy is proposed by appropriately assigning the subsystem or designing the switching signals. Combined with this strategy, an improved predictive controller design approach in which the controller gain varies with the delay is presented to guarantee that the closed-loop system is exponentially stable with an H ∞ -norm bound for a class of switching signal in terms of nonlinear matrix inequalities. Furthermore, an iterative algorithm is presented to solve these nonlinear matrix inequalities to obtain a suboptimal minimum disturbance attenuation level. A numerical example illustrates the effectiveness of the proposed method.

Input-to-state stability for networked control system with predictive scheme

“…In order to overcome the drawback of fixed controller, we will use the varying controller gain scheme proposed in [26]. Under that scheme, the controller law can be modified as follows…”

“…In order to actively compensate these network-induced imperfections, a large number of approaches have been proposed (see, for example, [23], [24], [25], [26], [27] and the references therein). It is noted that in [23], a new networked predictive control scheme, which is an active method to overcome the network-induced delay and packet dropouts, is proposed.…”

“…It is noticed that for the predictive control schemes proposed in these papers, the controller gain used is fixed, which leads to a conservative controller design technique. In order to overcome the shortcomings caused by the fixed controller gain, a varying controller gain scheme is proposed in [25] and [26].…”

“…The adoption of small gain theorem makes it easier to analyze the stability of the considered NCS and leads to a much less conservative result. The dimension of the matrix of the stability criteria in this paper and [32], [26], are R (N+1)n×(N+1)n , R 2(N+1)n×2(N+1)n and R (2nN+mN+2n)×(2nN+mN+2n) , where N is the upper bound of delays and packet dropouts, n is the dimension of system matrix, m is the dimension of the input. Thus, apparently the method proposed is comparatively less conservative, and this is especially the case when large delays and consecutively multiple data dropouts ought to be considered.…”

Asynchronous H∞ control of switched delay systems with average dwell time

“…Switched systems, which include a finite number of subsystems and a logical rule that regulates the switching between the subsystems, constitute a very active field of current scientific research [1][2][3][4][5][6][7][8][9][10][11][12]. On the other hand, time delays are inevitable in many practical control systems [13,14].…”