Performance and stability analysis of discontinuous PWA systems by piecing together PWQ functions
نویسندگان
چکیده
An algorithm for evaluating the cost performance of discontinuous autonomous discrete-time piecewise affine systems is presented. The algorithm performs reverse reachability analysis and constructs a piecewise quadratic trajectory cost function over the entire region of attraction of the origin while explicitly taking into account the exact spatial evolution of the trajectories and the exact switching structure of the system as a whole. Available explicitly, this cost function can be integrated in order to evaluate the cost performance of the entire system. The reverse reachability algorithm is applied to the problem of constructing Lyapunov functions. The resulting Lyapunov functions are less conservative than other forms of Lyapunov function commonly used for stability analysis of autonomous discrete-time piecewise affine systems.
منابع مشابه
Stability Analysis and Controller Synthesis for a Class of Piecewise Smooth Systems
Stability Analysis and Controller Synthesis for a Class of Piecewise Smooth Systems Behzad Samadi, Ph.D. Concordia Unviersity, 2008 This thesis deals with the analysis and synthesis of piecewise smooth (PWS) systems. In general, PWS systems are nonsmooth systems, which means their vector fields are discontinuous functions of the state vector. Dynamic behavior of nonsmooth systems is richer than...
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