Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems

In control theory, sliding mode control (SMC) is a nonlinear control method that alters the dynamics of a nonlinear system by application of a discontinuous control signal that forces the system to slide along a cross-section of the system’s normal behaviour. In recent years, SMC has been successfully applied to a wide variety of practical engineering systems including robot manipulators, aircraft, underwater vehicles, spacecraft, flexible space structures, electrical motors, power systems, and automotive engines. <p><i>Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems</i> addresses the increasing demand for developing SMC technologies and comprehensively presents the new, state-of-the-art sliding mode control methodologies for uncertain parameter-switching hybrid systems. It establishes a unified framework for SMC of Markovian jump singular systems and proposes new SMC methodologies based on the analysis results. A series of problems are solved with new approaches for analysis and synthesis of switched hybrid systems, including stability analysis and stabilization, dynamic output feedback control, and SMC. A set of newly developed techniques (e.g. average dwell time, piecewise Lyapunov function, parameter-dependent Lyapunov function, cone complementary linearization) are exploited to handle the emerging mathematical/computational challenges.</p> <p>Key features:</p> <ul> <li>Covers new concepts, new models and new methodologies with theoretical significance in system analysis and control synthesis</li> <li>Includes recent advances in Markovian jump systems, switched hybrid systems, singular systems, stochastic systems and time-delay systems</li> <li>Includes solved problems</li> <li>Introduces advanced techniques</li> </ul> <p><i>Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems</i> is a comprehensive reference for researchers and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduate and graduates studying in these areas.</p>